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	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Photo-Electric_Effect&amp;diff=3668</id>
		<title>Photo-Electric Effect</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Photo-Electric_Effect&amp;diff=3668"/>
		<updated>2026-05-05T14:41:55Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Photo-Electric Effect Module */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Photo-Electric Effect Module ==&lt;br /&gt;
&lt;br /&gt;
[http://hank.uoregon.edu/teaching-modules/photoelectric-effect/photoelectric-effect.html Photo-Electric Effect Web Page]&lt;br /&gt;
&lt;br /&gt;
The Photoelectric Effect was first observed in the mid-nineteenth century.  It occurs when light is shone onto a metal object, electrons are excited to the point of being emitted from the metal’s surface.  Prior to the twentieth century light was believed to behave purely as a wave, which was confirmed by Young’s double-slit experiment (Wikipedia).  In Classical Theory, the more intense the light is, than the light should emit electrons of higher energy, but this is not observed, and therefore poses a problem for the Wave Theory of Light.  Albert Einstein suggested that light was made of particles of a discrete energy, contradicting the Wave Theory.  Einstein’s theory suggested that a light particle (photon) would strike an electron of a metal object, which would then absorb the light particle.  If the photon had enough energy, the electron would be emitted from the metal object.   Einstein’s theory explains the Photoelectric Effect, and also differs from Wave Theory because he states that light is made of particles that deliver discrete energy, and the intensity of the light does not change the energy of the electrons that are emitted.  The Einstein explanation of the Photoelectric Effect provided another example in favor of Quantum Theory, which states that energy comes in packets, and everything has a discrete amount.&lt;br /&gt;
&lt;br /&gt;
Using the Photoelectric Effect, an experiment was designed to find Plank’s constant, h. This constant is one of the natural constants, to which all physical expressions can be related to in one way or another. Plank’s constant is used consistently in quantum mechanics and finding a value for h would give numerical values to many different equations. &lt;br /&gt;
&lt;br /&gt;
To achieve this, an apparatus was constructed to find the stopping voltage across a phototube of which has light shone on it to create a current. A phototube is a glass tube which has two different terminals in it. The plate that has the electrons emitting from it is called the cathode, which has a larger surface area than the anode which is a pin that the electrons strike to create a current. The cathode is the plate that has the light shining on it and actually produces the effect that is being used. The stopping voltage is a potential that resists the electrons flying towards the anode. By increasing this stopping voltage to a certain point, the current will become zero across the phototube. This value is the stopping voltage for that particular frequency of light.&lt;br /&gt;
&lt;br /&gt;
Using an equation that Einstein put forth to help explain the photoelectric effect, the stopping voltage can be related to the frequency of the incoming light. This equation is Ephoton = KEelectron + W where Ephoton is the energy of a photon of a certain frequency, KEelectron is the maximum kinetic energy of the incoming electrons, and W is the amount of energy it takes to emit the electrons from the metal’s surface. To relate the stopping voltage to the frequency, the above equation’s components must be substituted: Ephoton is equal to hf where h in Plank’s constant and f is the frequency of the incoming light and KEelectron is qV where q in the charge in question and V is the stopping voltage. Putting everything together and solving for V, the equation is V=hf-W. The charge is left out because each side has been divided by the value and now everything is in units of eV (electron volts). The stopping voltage and frequency can now be related by the above equation. If the stopping voltage is plotted with respect to the frequency, a linear regression will result in the slope of the graph and the y-intercept. The y-intercept will be equal to the work function of the metal and the slope of the data will be the measured value of h. &lt;br /&gt;
&lt;br /&gt;
The other goal was to build the apparatus that would eventually be used to measure Plank’s constant. The apparatus was based on a schematic that was found online which gave instructions on how to build a photoelectric apparatus. Some changes were from the original schematics. These include a single power supply that could be plugged into a socket, a wider range of stopping potential, and the ability to change the intensity of the LED’s light that was emitted. These were all put together into a simple circuit and built up to create a working apparatus. [[File:Photoelectriccircuitcompairison.png|650px]]&lt;br /&gt;
&lt;br /&gt;
The light that was used in the experiment was from four different LEDs varying in wavelength from an orange-yellow to a low ultraviolet. The stopping voltage for each LED was recorded seven times in the absence of ambient light. The values of the peak frequencies and a rough estimate of their standard deviation for each LED was found from their respective data sheets and converted to their respective frequency. The data was then plotted and a linear regression was fit to the data &lt;br /&gt;
&lt;br /&gt;
[[File:Photoelectricdatagraph.png]]. &lt;br /&gt;
&lt;br /&gt;
After some error propagation the slope of the data, the calculated value of Plank’s constant, was found to be (2.56 +/- .05)*10^-15 eV*s. This value is within 40% of the accepted value of 4.136*10^-15 eV*s which is pretty close for an apparatus that was built from the ground up and under $200. &lt;br /&gt;
&lt;br /&gt;
Looking at the data, the stopping voltage was measured can be trusted to be accurate. The only other thing that could have caused this inaccuracy would be the frequency of the incoming light. These values were given on the data sheets of each LED and were believed to the peak wavelength/frequency. The problem with this is that the stopping voltage was is measured is preventing the most energetic electrons from completing he circuit. And the electrons that have this energy most likely absorbed a photon of a higher frequency than the given peak value. LEDs don’t actually produce a single wavelength/frequency of light, but a range of them; only lasers produce monochromatic light. This could explain the difference between my value and the accepted value.&lt;br /&gt;
&lt;br /&gt;
By playing around with my data, it was found that if the frequency is decreased or the stopping voltage is increased by 2/3, then the resulting linear fit gives a value extremely close to the accepted value. This is extremely counter intuitive, but actually makes sense. By decreasing the frequency and keeping the stopping voltage the same, it means that each photon now has more energy per unit of frequency. And by increasing the stopping voltage, but keeping the frequency the same makes each photo have more energy that before.&lt;br /&gt;
&lt;br /&gt;
This manipulation of data actually proves the previous theory to be incorrect. If it is continued to be believed that the stopping voltage values to be valid, then the actual frequency of the photons must be less in order for the measured Plank’s constant to increase toward the accepted value.&lt;br /&gt;
&lt;br /&gt;
There are a few things that my help the accuracy of this experiment. The first and easiest way would be to find what type of metal the cathode is made of and compare the work function that was found to that of the actual metal. If the two values are different, then setting the y-intercept to the accepted value may change the slope of the linear regression. The other thing that could be changed would be to use monochromatic light on the phototube. This light should be passed through a lens of some kind to decrease the intensity in order to protect the phototube. An error in grounding the circuit of the apparatus did come to mind, causing an artificial high stopping voltage, but when the phototube is in a dark environment the current is always zero. This shows that the circuit works perfectly and the problem is from another source.&lt;br /&gt;
&lt;br /&gt;
Over all, the experiment was quite successful and even with the inaccuracy produced a solid result. The above my prove fruitful in further research or may not. It is merely a suggestion as to a jumping off point in search for a value comparable to the accepted value of Plank’s constant. &lt;br /&gt;
&lt;br /&gt;
Original plans for Photoelectric Effect Apparatus  [[Media:LEDphotoelectric_apparatus.pdf]]&lt;br /&gt;
&lt;br /&gt;
Winter 2015 Results:&lt;br /&gt;
&lt;br /&gt;
Using the same apparatus without modifications, I recorded data for 405, 468, 505, 525, 569, and 573 nm LEDs. The plot of the stopping voltage vs. frequency is shown below.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Taking a fitted slope of the plot, I find Planck&#039;s constant h = (1.83 +/- 0.2)*10^-15 eV*s. This is within the same magnitude of the accepted value of h = 4.136*10^-15 eV*s. This is a good measurement considering the different errors discussed above. An LED emits a gaussian spectrum of frequency where the peek coincides with the wavelength describing the LED. In an attempt to reduce this error I repeated the experiment with 405, 532, and 636 nm lasers. I had trouble reproducing currents because each location the laser was shined on the cathode gave different values. I tried to fix a beam on the cathode using a stand. The 636 nm laser did not produce any results so it must be under the limiting frequency. That left me with two lasers for the plot below.&lt;br /&gt;
&lt;br /&gt;
[[File:Picture2.png]]&lt;br /&gt;
&lt;br /&gt;
As you can see, the measurement gave me h = 2.49*10^-15 eV*s which is within 40% of the accepted value, but the error is infinite due to only using two data points. In the future we could order more lasers above the limiting frequency, but clearly the apparatus is not meant for a narrow laser beam. I would use laser diodes with beams that broaden out in a cone shape. These should fill the area on the cathode and produce more monochromatic light.&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3667</id>
		<title>Power Supplies</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3667"/>
		<updated>2026-01-26T19:58:24Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Digital Power Supply */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This module will teach you how to use both analog and digital power supplies.  While there will be different power supplies in the world in which you will interact, this will gain you the basic knowledge of power supplies to be able to handle any power supply you come across.&lt;br /&gt;
&lt;br /&gt;
The analog power supply we will work with is the model HY3003D-3 and information can be found in this [http://www.jameco.com/Jameco/Products/ProdDS/211684.pdf data sheet] or [http://www.rapidonline.com/pdf/554308_v1.pdf user manual].  It is important to note that many different manufacturers will make the HY3003D-3 model of regulated analog power supply.  While the interface might be different, the circuit diagram is the same.&lt;br /&gt;
&lt;br /&gt;
The digital power supply used is the Rigol DP1308A and information can be found [http://www.rigolna.com/products/dc-power-supplies/dp1000a/dp1308a/ here], specifically under the documents tab and looking at either the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-0021/0/-/-/-/-/file.pdf data sheet] or [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;br /&gt;
&lt;br /&gt;
For this module, you will need:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DP1308A digital DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY3003D-3 analog DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 2 Fluke 179 True RMS multimeters (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; An assortment of short wires&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Resistors: 4x100ohm and 1 10kohm (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A breadboard (or protoboard) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC-Banana Plug Adaptor (with male BNC plug)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC Cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This module assumes some familiarity with the [[Multimeters]] and detail will not always be explained when using these devices.&lt;br /&gt;
&lt;br /&gt;
This module is part of the [[General Lab Equipment Obstacle Course]].&lt;br /&gt;
&lt;br /&gt;
== Floating and Grounding ==&lt;br /&gt;
&lt;br /&gt;
[[File:floatvground.png|400px|thumb|right|Diagrams for the difference between floating and grounded power supplies.  Grounded power supply can not be used to boost already supplied volatages]]&lt;br /&gt;
&lt;br /&gt;
It is important to first discuss the difference between a floating power supply and a grounded power supply.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Ground_%28electricity%29 Ground] is a physical connection to the earth (ground).  For American three pronged outlets, the extra little third prong will attach to ground.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Floating_ground Floating] circuits will have a point of lowest potential, but this value could be anything relative to ground.  This is what occurs for American two pronged outlets and batteries.  Floating can be used to change voltages when there is already a high voltage occurring.  For example boosting 1000V to 1020V, where as a grounded supply would attempt to jump 1000V directly to ground.&lt;br /&gt;
&lt;br /&gt;
== Analog Power Supply ==&lt;br /&gt;
This section will cover use of the HY3003D-3 analog DC Power Supply (or similar).  First discuss the basic nature of the power supply and then discuss the three operating modes.&lt;br /&gt;
&lt;br /&gt;
=== General Analog Power Supply Information ===&lt;br /&gt;
&lt;br /&gt;
[[File:Analog power supply front.jpg|400px|thumb|right|Front of a HY3003D-3 analog power supply, noting that this particular model does not state it on the front]]&lt;br /&gt;
&lt;br /&gt;
The HY3003D-3 analog power supply has meaning to its name, breaking into parts HY-30-03-D-3&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY- Brand/manufacturer&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 30- Maximum output voltage (30 volts)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 03- Maximum output current (3 Amps)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; D-  Display type (LCD)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 3-  Number of outputs (3)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
There are three outputs on the analog power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Floating Constant 5V Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Master Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Slave Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 5V output gives out a constant 5V (surprisingly).  There are three modes in which the power supply can operate: independent, series and parallel.  In independent mode, the master and slave descriptions mean nothing.  Only while operating in the series or parallel mode will the master control the slave.  In those modes, only the controls for the master will function and it will control both supplies simultaneously.&lt;br /&gt;
&lt;br /&gt;
=== Constant 5V Output ===&lt;br /&gt;
&lt;br /&gt;
We will first discuss the constant 5 volt output.  First to explore, we use the multimeter in resistance mode to find the internal resistance of the constant power 5V power supply.  With the power off, measure the resistance from the positive terminal (red) and the negative terminal (black) of the 5V supply (far right in picture).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read across the constant voltage supply?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This value is important to know, as the internal resistance of the power supply can affect the desired output of the power supply depending on your load circuit.  Now measure the resistance between the positive terminal of the constant power supply and ground (a green terminal)&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply by default is a floating supply, so there should be no connection to ground.  If we wanted a ground 5 Volt supply, we could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise).&lt;br /&gt;
&lt;br /&gt;
=== Operating in Independent Mode ===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the center of the panel, you will find the dial/buttons (depending on model) for the operation mode of the analog power supply.  For this section, make sure that you are operating in independent mode.  In this mode, the two internal power supplies are independent and can be controlled individually.&lt;br /&gt;
&lt;br /&gt;
For each supply, you should be able to identify the current control knob, voltage control knob and three terminals for the voltage (red positive, black negative and green ground).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of one of the supplies?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of the other supply?  Are they the same?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to ground?  The negative terminal to ground?  Does this make sense?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Be default, both supplies are floating.  We could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise) if a grounded power source was required.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of the other supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Even though we are in independent mode, there is still a connection between the two internal supplies.  The resistance is very high, so unless the resistance of the circuit load is very high, this should be okay.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of constant 5V supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply is not connected in any way to the other two supplies.&lt;br /&gt;
&lt;br /&gt;
We will now move to discuss the different modes the analog power supply can operate in.&lt;br /&gt;
&lt;br /&gt;
==== Voltage Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps.png|400px|thumb|right|Basic circuit using the analog power supply across a resistor.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, you will set up a very basic circuit to test the power supply.  Simply put a voltage across a 100ohm resister as shown.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the current control knob all the way clockwise.  This will allow for the maximal current to by supplied by the power supply.  The voltage control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the voltage knob will change the voltage output.  The display will show the voltage in Volts.  Set the voltage to 7.5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the voltage too high, you will burn out the resistor!  We can protect delicate circuits with the current control knob.  We will be discuss current limiting below.&lt;br /&gt;
&lt;br /&gt;
Replace the 100ohm resistor with the 10kohm resistor and turn the voltage knob to the max.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the load can sustain all the current and we max out at the voltage of the power supply.  We will now move to discuss the using the power supply as a current source.&lt;br /&gt;
&lt;br /&gt;
... turn off the power supply.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps2.png|400px|thumb|right|Basic circuit using the analog power supply across four resistors in parallel.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, we use a slightly different circuit.  Put 4 100ohm resisters in parallel then power across the parallel circuit.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the voltage control knob all the way clockwise.  This will allow for the maximal voltage to by supplied by the power supply.  The current control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the current knob will change the current output.  The display will show the current in Amps.  Set the current to 0.3A.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the current too high, you will burn out the resistors!  When operating in this mode is in important to know the current limit of the load you are using.&lt;br /&gt;
&lt;br /&gt;
Now start adjusting the voltage knob counter clockwise, observing the voltage reading as it goes.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This idea is the basics behind the current limiting function of the power supply.  The current knob can be set to the desired maximal current and then the voltage can be varied.&lt;br /&gt;
&lt;br /&gt;
Return the current to zero and the voltage to the max.  Replace the parallel circuit with a 10kohm resistor.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens if you try to increase the current now?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each individual supply can only give 30V.  We will discuss how to get more voltage by operating in the series mode.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Limited Protection Mode ====&lt;br /&gt;
&lt;br /&gt;
These power supplies can be operated in a current limited mode in order to protect the load from high currents.  This section will describe how to set a current limit before the power supply has been connected to the load.&lt;br /&gt;
&lt;br /&gt;
With the supply off and nothing connected to the power supply, turn the current control all the way to the max and the voltage control to the minimum.  Turn on the power.  We want to adjust the adjust the voltage control to the voltage we will be using (or the maximum voltage).  At this point set it to 10V.  &#039;&#039;&#039;Important:&#039;&#039;&#039; Turn the current control back to all the way to minimum. Now connect the positive and negative terminal with a thick banana wire.  We can now adjust the current to our desired limit with the current control knob.  Set it to 0.3A.  Unplug the banana wire and turn the voltage all the way down.  Now attach the parallel circuit from the current source section.  Start upping the voltage now that the circuit is connected.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This is the safest and most effective way to protect a circuit before it is ever connected to the power supply.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
=== Operating in Series Mode ===&lt;br /&gt;
&lt;br /&gt;
[[File:analogpsseries.png|400px|thumb|right|Note that for series mode, we use the negative (black) terminal for the slave and the positive (red) terminal of the master.]]&lt;br /&gt;
&lt;br /&gt;
Switch the center switch to series mode.  This will vary depending on the model you are using.  In this mode the two supplies will become linked in series allowing for a greater voltage output.&lt;br /&gt;
&lt;br /&gt;
With the power off, connect the negative terminal of the slave to one end of a 10kohm resistor and the positive terminal of the master to the other end of the resistor.  This will connect across both supplies.  Adjust both slave knobs and the master&#039;s current control to the maximum value (clockwise) and the master&#039;s voltage knob to zero.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which supply mode are we operating in (voltage or current)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Turn on the power supply.  Start adjusting the master voltage and observe the voltage displays.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you notice about the voltage displays?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the maximal voltage you can get?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think the voltage across the resistor is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Set the voltage on the master display to 5 volts.  Get your multimeter handy and get ready to measure some voltages.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage across the resistor, what it is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the master, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the positive terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the slave to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each supply still creates its individual voltage, and the total of those can be utilized by treating them as one supply with the master&#039;s positive terminal and the slave&#039;s negative terminal.  The thing to remember is that the total voltage will be the sum of the displays.&lt;br /&gt;
&lt;br /&gt;
Turn down the voltage to zero.  Now remove the 10kohm resistor from the circuit and replace it with the 4 100 kohm resistors in parallel.  Now make the voltage across the resistors 4 volts (2 volts on each display).  Adjust the slave voltage knob all the way down and back up.  Then do the same with the slave current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;10&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave voltage is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave current is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Why do you think it works this way?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The master completely controls the voltage in this mode, so the slave voltage control has been disabled.  The slave current control can still be used to limit the current, but the master still continues to operate.  Make sure the slaves controls are both set to maximum.  Now adjust the master current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;13&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the current control kicks in?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the master current control will also control the slave&#039;s current as well as the voltage.  With this in mind, the series power supply can and should be operated using only the master controls.  If a current source was wanted, everything can be done with the master controls.&lt;br /&gt;
&lt;br /&gt;
=== Operating in Parallel Mode ===&lt;br /&gt;
&lt;br /&gt;
Operating in parallel mode allows for a high current output.  The power supplies will be linked in parallel with each other.  Again in this case, the slave controls should be opened to the max, and all adjustments to the current or voltage should be down with the master controls. The load can go across either the slave or master terminals, but it is suggested to use the master terminals.&lt;br /&gt;
&lt;br /&gt;
In this mode, the maximum voltage remains 30V, but the maximum current will be 6A.  As this is a high current that would require many resistors in parallel to get the current without burning out the resistors, we do not test this limit here.&lt;br /&gt;
&lt;br /&gt;
In this mode, the parallel supply can be used in either current or voltage limiting mode using the techniques given above.&lt;br /&gt;
&lt;br /&gt;
== Digital Power Supply ==&lt;br /&gt;
This section will cover use of the Rigol DP1308A digital DC Power Supply (or similar).  First discuss the basic nature of the power supply and then discuss the display modes and several operation modes of the power supply.&lt;br /&gt;
&lt;br /&gt;
=== General Digital Power Supply Information ===&lt;br /&gt;
[[File:Digital Power Supply Front.jpg|400px|thumb|right|Front of a Rigol DP1308A digital power supply]]&lt;br /&gt;
&lt;br /&gt;
Rigol DP1308A digital DC Power Supply doesn&#039;t seem to have as clear of a meaning to its specification number.  There are three outputs on the digital power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Independent 6V/5A Output (red)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common 25V/1A Output (yellow)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common -25V/1A Output (green)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 6V supply is isolated from the from the other two outputs for pure independent sources if needed.  The two common port supplies have the same reference point for zero voltage.   One supply will give positive voltages from that zero, while the other goes more negative.  This can be considered the two supplies being connected in series as above for the analog circuits.&lt;br /&gt;
&lt;br /&gt;
Again all the outputs are floating by default.  There is a ground terminal on the front that can be used to ground the terminals if desired.  Remember that if this is to be used to connect to the negative terminals as marked on the power supply.&lt;br /&gt;
&lt;br /&gt;
=== Front panel controls ===&lt;br /&gt;
[[File:Digital controls1.jpg|250px|thumb|right|Section of the panel for selecting power supplies and turning them on/off]]&lt;br /&gt;
&lt;br /&gt;
At first changing the voltage and current for the supplies can seem odd and cumbersome, so we will first familiarize ourselves with the controls.  Directly to the right of the display, you&#039;ll notice the buttons shown to the right.  With these controls, you are able to select which supply you will be controlling with the +6V, +25V and -25V buttons.  With the power on, try selecting the different outputs.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Looking at the display, how can you tell which one is active?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Above the output selection are the buttons for turning on/off all the supplies at the same time.  Press the All on button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why do you think they would prompt this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Select cancel using the button directly under cancel on the display. Typically turning all the supplies on is not the best idea unless you are sure everything is setup correctly.  Lets go ahead and select the 6V supply.  Now press the on/off button directly below it to turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can we tell the supply is turned on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is there more than one way to tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Go ahead and turn off the 6V supply.  We will move to discuss how to set the voltages and currents for the outputs.  You should notice at the bottom of the display the words Volt, Curr, O.V.P. and O.C.P.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which one is light up?  What do you think this means?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The buttons below each of those will allow to to set the voltage, current, over voltage protection and over current protection, respectively.&lt;br /&gt;
[[File:Digital controls3.jpg|400px|thumb|right|Panel section for setting values]]&lt;br /&gt;
If we want to set the voltage, there are two ways to do it:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjusting the value with the cursor.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Setting the value directly.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
First, we will use the cursor to set it.  Select Volt below the display to set the voltage.  You will notice a little white box in the lower smaller voltage.  The location of the box can be moved using the left and right arrows on the grey dial to the right of the display.  The value of the box can be shifted up and down using the up and down arrows.  Try setting the voltage to 0.5V and 1A.  Remember that to switch to current, you&#039;ll need to select it using the display.&lt;br /&gt;
&lt;br /&gt;
Now we use the number pad to set the voltage and current.  This is done by typing the value into the keypad, then selecting the units you wish to use.  To select the units, you can either use the grey buttons that were used to adjust previously.  Or using the buttons below the display.  Try setting the voltage back to 6V and current in 5A.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;6&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Do you have to have the current selected to change the current with this method?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which method do you prefer to use?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
We will discuss the over protection functions later, but for now know that they can be set in the same manner as for the voltage and current.&lt;br /&gt;
&lt;br /&gt;
=== Display Modes ===&lt;br /&gt;
&lt;br /&gt;
There are four display modes available for the Rigol digital power supply.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General display mode (default when turned on)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The two categories that change are the general/focus and waveform display.  The button to switch to focus mode is at the lower right of the display (looks like a magnifying glass), press it to see what happens.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Describe what is different.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Can you change which channel is focused on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This power supply has a timing mode that can be used to switch the voltage/current after a set amount of time.  The focus mode displays the next current and voltage settings when using timing.  We will discuss timing later.&lt;br /&gt;
&lt;br /&gt;
On the right side of the control panel you will see the &amp;quot;Wave Disp&amp;quot; under the number pad.  Press it now.  Turn on the current channel, then set the voltage to 10V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you notice?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to another value and wait a few seconds.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How often does this display update?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now switch to a different channel.  This channel will now be the focus of the display.  In this mode it is easy to see which channel is currently being set.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is this channel in waveform display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you think the general waveform display looks like right now?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Return to general mode by pressing the focus button again.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is it what you expected?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Depending on your application, some of the channels will remain fixed, while others can be set on a timer and which one you want to watch is important.&lt;br /&gt;
&lt;br /&gt;
Now that you have stepped through the different display settings, you should be able to use the one that is most applicable to your application!&lt;br /&gt;
&lt;br /&gt;
=== Voltage Supply ===&lt;br /&gt;
[[File:Digitalps.png|250px|thumb|right|4 100ohm resistor is parallel as load attached to the 6V channel of the digital power supply]]&lt;br /&gt;
&lt;br /&gt;
We will now explore using this power supply as a voltage source.  For our load we will use the 4 100ohm resistors in parallel. We will use the 6V channel and attach the load as shown in the figure.  You can have the display set to which ever mode you want.  Turn on the 6V channel.  Set the Voltage to 5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current currently set to? (if not 5A set to 5A)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to a few other values and witness the changes.&lt;br /&gt;
&lt;br /&gt;
These resistors cannot take too much current before they start to burn.  As was done for the analog supply, we will now examine current protection for our load.  For now set the voltage equal to zero before moving on.&lt;br /&gt;
&lt;br /&gt;
==== Current Limited and Over Current Protection ====&lt;br /&gt;
&lt;br /&gt;
There are two ways to protect the circuit from too much current.  The two ways are current limiting and over current protection (OCP).  Current limiting will hold the voltage below a certain value, while the OCP will shut off the channel completely.&lt;br /&gt;
&lt;br /&gt;
Set the current value to 0.1A.  Now set the voltage to 1V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the voltage to 5V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
As with the analog supplies, the highest the current will go is what we have set the current.  This is current limiting.&lt;br /&gt;
&lt;br /&gt;
Now set the voltage to zero and the current to 5A.  Press the OCP button below the display.  By default this is set to off and 5.5A.  Set the OCP. to 0.1A.  Then press the OCP button to turn on OCP.  Now set the voltage to 5V.  If you are using keypad entry for changing voltages, you will need to press the voltage button below the display first before setting the value.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happened?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the output on the display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will notice that not only did it turn off the channel, but it also turned off OCP.  Try turning OCP back on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;9&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What needs to happen before you can turn OCP back on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You typically want to reset your voltage and current before you turn the channel on again.&lt;br /&gt;
&lt;br /&gt;
Before moving on, you want to make sure that OCP is off.&lt;br /&gt;
&lt;br /&gt;
=== Current Supply, Voltage limiting and Over Voltage Protection ===&lt;br /&gt;
&lt;br /&gt;
To have a current supply, it follows the same as for the analog supply for a current supply.  You will set the voltage to maximum and then set the current to the desired amount.  &lt;br /&gt;
&lt;br /&gt;
Make sure you start with the channel off. We will use the setup from the voltage supply section. Set the voltage to 6V and current to 0A.  Now turn on the channel.  Set the current to 50mA.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the current to 0.3A&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will not get the 0.3A you want as the supply has now been voltage limited.  The same idea holds that the highest voltage you will get for a given current is set by the voltage input.&lt;br /&gt;
&lt;br /&gt;
Now set the Over Voltage Protection to 3V and then turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is this any different than when OCP was used?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Remember that if the channel is shut off for this reason to reset your current to zero before turning the channel back on and then enabling the OVP.&lt;br /&gt;
&lt;br /&gt;
Note! You can set both OCP and OVP at the same to protect from high voltages and currents at the same time!&lt;br /&gt;
&lt;br /&gt;
=== Series mode (multiplexed) ===&lt;br /&gt;
&lt;br /&gt;
This digital power supply has two of the channels automatically in series mode.  The yellow +25V channel and green -25V supply have a common port. To explore this we will use the multimeter to test the voltages at different points of the output channel.  Set the yellow channel to 5V and the green channel to 12V and turn on both channels.  Use the multimeter to answer the following questions:&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the 25V channel (red to the left)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the -25V channel (red to the right)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the output of the -25V channel to the output of the 25V channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case we can separately change the voltage for each channel.  There is no master power supply.  &lt;br /&gt;
&lt;br /&gt;
==== Tracking ====&lt;br /&gt;
We can setup either supply to control the output of the other.  This is done with the track button. With the yellow channel (+25V) set to 5V and the green channel (-25V) set to 12V, select the green channel.  Turn on both channels and press the track button on the right side of the panel.  The display will prompt that this will change the output, hit OK.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output of the green channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Try changing the voltage of the -25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now change the voltage of the +25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This has made the yellow channel the master and the green channel the slave.  Alternatively, the green channel is tracking the yellow channel.  Now select the yellow channel and hit the track button.  It&#039;ll prompt you about the voltage changing, hit OK.  The yellow channel is tracking the green channel now.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can you tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you press track again, the channel with stop tracking.&lt;br /&gt;
&lt;br /&gt;
Using the tracking is the best way to control the power supply between 0 and 50V using the two channels in series.&lt;br /&gt;
&lt;br /&gt;
=== Timing mode ===&lt;br /&gt;
&lt;br /&gt;
Timing mode allows for you to set up the power supply to change the voltage and current at set points in time.  To see how this is done, we will go through a sample timing scheme.  We will use the 4 100ohm resisters in parallel as our load and the +25V supply.  Press the utility button on the right side of the panel. Then press TimerSet under the display.  You should see the display shown to the right.&lt;br /&gt;
&lt;br /&gt;
[[File:timing.jpg|400px|thumb|right|Display for timing when first entered.]]&lt;br /&gt;
&lt;br /&gt;
With the buttons below the display, you can select which channel you will be modifying.  Select +25V.  The left side of the display that is currently empty will later show the graphs of the voltage and current as a function of time.  The right side is where the values will be set.  There are 5 steps that the timing can do.  For each step you can set the voltage, current and duration of the step.  The &amp;quot;Left&amp;quot; column is used for specialized timing and will not be discussed in this module.  If it needs to be used check the user manual for the power supply.  The arrows can be used to select which value you are setting.  To set a value, the keypad must be used.  Once the value is set, it will automatically step to the next box. Input the follow settings:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 1- 10V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 2- 5V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 3- 50mV, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 4- 25V, 0.5A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 5- 25V, 50mA, 40s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
It should look now look like the 2nd image in this section.  The left side now should visually show the settings and durations of each of the steps.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  How is the duration represented compared to the total time?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now press exit to return to the normal display.  Now change the display to focused waveform on the 6V channel.  Finally turn on the channel, press the timer button, hit OK, sit back and record the data values.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time as you see it on the display.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
[[File:timing2.jpg|400px|thumb|right|Display for timing after values have been entered.]]&lt;br /&gt;
You will notice that it turns off the channel at the end.  Press timer while the channel is off, then turn on the channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Often timing can be used to run a circuit start to finish.  At this point feel free to play with the timing, but be careful to not burn out your resistors!  To do this set the OCP to 0.5V, the voltage to zero and the current to zero.  Now turn on the channel, activate OCP and then hit the timer button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time for your new parameter set.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now you can set basic changes in voltage as a function of time.  Function generators will typically be used when a repeating change needs to be used.  Usage of them can be found The module is available [[Function Generators and Oscilloscopes|here]].&lt;br /&gt;
&lt;br /&gt;
=== Other Functions ===&lt;br /&gt;
&lt;br /&gt;
There are a few more settings and modes that can be used with the digital power supply such as&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Storing and recalling system parameters &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; USB, LAN and GPIB interfaces&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; U disk store&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Remote control via Web or commands&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Help function&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Utility settings&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
For more information on these settings and modes, please refer to the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3666</id>
		<title>Power Supplies</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3666"/>
		<updated>2026-01-26T19:57:00Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Analog Power Supply */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This module will teach you how to use both analog and digital power supplies.  While there will be different power supplies in the world in which you will interact, this will gain you the basic knowledge of power supplies to be able to handle any power supply you come across.&lt;br /&gt;
&lt;br /&gt;
The analog power supply we will work with is the model HY3003D-3 and information can be found in this [http://www.jameco.com/Jameco/Products/ProdDS/211684.pdf data sheet] or [http://www.rapidonline.com/pdf/554308_v1.pdf user manual].  It is important to note that many different manufacturers will make the HY3003D-3 model of regulated analog power supply.  While the interface might be different, the circuit diagram is the same.&lt;br /&gt;
&lt;br /&gt;
The digital power supply used is the Rigol DP1308A and information can be found [http://www.rigolna.com/products/dc-power-supplies/dp1000a/dp1308a/ here], specifically under the documents tab and looking at either the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-0021/0/-/-/-/-/file.pdf data sheet] or [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;br /&gt;
&lt;br /&gt;
For this module, you will need:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DP1308A digital DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY3003D-3 analog DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 2 Fluke 179 True RMS multimeters (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; An assortment of short wires&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Resistors: 4x100ohm and 1 10kohm (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A breadboard (or protoboard) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC-Banana Plug Adaptor (with male BNC plug)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC Cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This module assumes some familiarity with the [[Multimeters]] and detail will not always be explained when using these devices.&lt;br /&gt;
&lt;br /&gt;
This module is part of the [[General Lab Equipment Obstacle Course]].&lt;br /&gt;
&lt;br /&gt;
== Floating and Grounding ==&lt;br /&gt;
&lt;br /&gt;
[[File:floatvground.png|400px|thumb|right|Diagrams for the difference between floating and grounded power supplies.  Grounded power supply can not be used to boost already supplied volatages]]&lt;br /&gt;
&lt;br /&gt;
It is important to first discuss the difference between a floating power supply and a grounded power supply.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Ground_%28electricity%29 Ground] is a physical connection to the earth (ground).  For American three pronged outlets, the extra little third prong will attach to ground.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Floating_ground Floating] circuits will have a point of lowest potential, but this value could be anything relative to ground.  This is what occurs for American two pronged outlets and batteries.  Floating can be used to change voltages when there is already a high voltage occurring.  For example boosting 1000V to 1020V, where as a grounded supply would attempt to jump 1000V directly to ground.&lt;br /&gt;
&lt;br /&gt;
== Analog Power Supply ==&lt;br /&gt;
This section will cover use of the HY3003D-3 analog DC Power Supply (or similar).  First discuss the basic nature of the power supply and then discuss the three operating modes.&lt;br /&gt;
&lt;br /&gt;
=== General Analog Power Supply Information ===&lt;br /&gt;
&lt;br /&gt;
[[File:Analog power supply front.jpg|400px|thumb|right|Front of a HY3003D-3 analog power supply, noting that this particular model does not state it on the front]]&lt;br /&gt;
&lt;br /&gt;
The HY3003D-3 analog power supply has meaning to its name, breaking into parts HY-30-03-D-3&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY- Brand/manufacturer&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 30- Maximum output voltage (30 volts)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 03- Maximum output current (3 Amps)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; D-  Display type (LCD)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 3-  Number of outputs (3)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
There are three outputs on the analog power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Floating Constant 5V Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Master Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Slave Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 5V output gives out a constant 5V (surprisingly).  There are three modes in which the power supply can operate: independent, series and parallel.  In independent mode, the master and slave descriptions mean nothing.  Only while operating in the series or parallel mode will the master control the slave.  In those modes, only the controls for the master will function and it will control both supplies simultaneously.&lt;br /&gt;
&lt;br /&gt;
=== Constant 5V Output ===&lt;br /&gt;
&lt;br /&gt;
We will first discuss the constant 5 volt output.  First to explore, we use the multimeter in resistance mode to find the internal resistance of the constant power 5V power supply.  With the power off, measure the resistance from the positive terminal (red) and the negative terminal (black) of the 5V supply (far right in picture).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read across the constant voltage supply?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This value is important to know, as the internal resistance of the power supply can affect the desired output of the power supply depending on your load circuit.  Now measure the resistance between the positive terminal of the constant power supply and ground (a green terminal)&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply by default is a floating supply, so there should be no connection to ground.  If we wanted a ground 5 Volt supply, we could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise).&lt;br /&gt;
&lt;br /&gt;
=== Operating in Independent Mode ===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the center of the panel, you will find the dial/buttons (depending on model) for the operation mode of the analog power supply.  For this section, make sure that you are operating in independent mode.  In this mode, the two internal power supplies are independent and can be controlled individually.&lt;br /&gt;
&lt;br /&gt;
For each supply, you should be able to identify the current control knob, voltage control knob and three terminals for the voltage (red positive, black negative and green ground).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of one of the supplies?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of the other supply?  Are they the same?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to ground?  The negative terminal to ground?  Does this make sense?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Be default, both supplies are floating.  We could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise) if a grounded power source was required.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of the other supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Even though we are in independent mode, there is still a connection between the two internal supplies.  The resistance is very high, so unless the resistance of the circuit load is very high, this should be okay.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of constant 5V supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply is not connected in any way to the other two supplies.&lt;br /&gt;
&lt;br /&gt;
We will now move to discuss the different modes the analog power supply can operate in.&lt;br /&gt;
&lt;br /&gt;
==== Voltage Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps.png|400px|thumb|right|Basic circuit using the analog power supply across a resistor.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, you will set up a very basic circuit to test the power supply.  Simply put a voltage across a 100ohm resister as shown.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the current control knob all the way clockwise.  This will allow for the maximal current to by supplied by the power supply.  The voltage control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the voltage knob will change the voltage output.  The display will show the voltage in Volts.  Set the voltage to 7.5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the voltage too high, you will burn out the resistor!  We can protect delicate circuits with the current control knob.  We will be discuss current limiting below.&lt;br /&gt;
&lt;br /&gt;
Replace the 100ohm resistor with the 10kohm resistor and turn the voltage knob to the max.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the load can sustain all the current and we max out at the voltage of the power supply.  We will now move to discuss the using the power supply as a current source.&lt;br /&gt;
&lt;br /&gt;
... turn off the power supply.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps2.png|400px|thumb|right|Basic circuit using the analog power supply across four resistors in parallel.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, we use a slightly different circuit.  Put 4 100ohm resisters in parallel then power across the parallel circuit.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the voltage control knob all the way clockwise.  This will allow for the maximal voltage to by supplied by the power supply.  The current control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the current knob will change the current output.  The display will show the current in Amps.  Set the current to 0.3A.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the current too high, you will burn out the resistors!  When operating in this mode is in important to know the current limit of the load you are using.&lt;br /&gt;
&lt;br /&gt;
Now start adjusting the voltage knob counter clockwise, observing the voltage reading as it goes.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This idea is the basics behind the current limiting function of the power supply.  The current knob can be set to the desired maximal current and then the voltage can be varied.&lt;br /&gt;
&lt;br /&gt;
Return the current to zero and the voltage to the max.  Replace the parallel circuit with a 10kohm resistor.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens if you try to increase the current now?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each individual supply can only give 30V.  We will discuss how to get more voltage by operating in the series mode.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Limited Protection Mode ====&lt;br /&gt;
&lt;br /&gt;
These power supplies can be operated in a current limited mode in order to protect the load from high currents.  This section will describe how to set a current limit before the power supply has been connected to the load.&lt;br /&gt;
&lt;br /&gt;
With the supply off and nothing connected to the power supply, turn the current control all the way to the max and the voltage control to the minimum.  Turn on the power.  We want to adjust the adjust the voltage control to the voltage we will be using (or the maximum voltage).  At this point set it to 10V.  &#039;&#039;&#039;Important:&#039;&#039;&#039; Turn the current control back to all the way to minimum. Now connect the positive and negative terminal with a thick banana wire.  We can now adjust the current to our desired limit with the current control knob.  Set it to 0.3A.  Unplug the banana wire and turn the voltage all the way down.  Now attach the parallel circuit from the current source section.  Start upping the voltage now that the circuit is connected.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This is the safest and most effective way to protect a circuit before it is ever connected to the power supply.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
=== Operating in Series Mode ===&lt;br /&gt;
&lt;br /&gt;
[[File:analogpsseries.png|400px|thumb|right|Note that for series mode, we use the negative (black) terminal for the slave and the positive (red) terminal of the master.]]&lt;br /&gt;
&lt;br /&gt;
Switch the center switch to series mode.  This will vary depending on the model you are using.  In this mode the two supplies will become linked in series allowing for a greater voltage output.&lt;br /&gt;
&lt;br /&gt;
With the power off, connect the negative terminal of the slave to one end of a 10kohm resistor and the positive terminal of the master to the other end of the resistor.  This will connect across both supplies.  Adjust both slave knobs and the master&#039;s current control to the maximum value (clockwise) and the master&#039;s voltage knob to zero.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which supply mode are we operating in (voltage or current)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Turn on the power supply.  Start adjusting the master voltage and observe the voltage displays.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you notice about the voltage displays?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the maximal voltage you can get?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think the voltage across the resistor is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Set the voltage on the master display to 5 volts.  Get your multimeter handy and get ready to measure some voltages.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage across the resistor, what it is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the master, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the positive terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the slave to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each supply still creates its individual voltage, and the total of those can be utilized by treating them as one supply with the master&#039;s positive terminal and the slave&#039;s negative terminal.  The thing to remember is that the total voltage will be the sum of the displays.&lt;br /&gt;
&lt;br /&gt;
Turn down the voltage to zero.  Now remove the 10kohm resistor from the circuit and replace it with the 4 100 kohm resistors in parallel.  Now make the voltage across the resistors 4 volts (2 volts on each display).  Adjust the slave voltage knob all the way down and back up.  Then do the same with the slave current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;10&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave voltage is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave current is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Why do you think it works this way?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The master completely controls the voltage in this mode, so the slave voltage control has been disabled.  The slave current control can still be used to limit the current, but the master still continues to operate.  Make sure the slaves controls are both set to maximum.  Now adjust the master current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;13&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the current control kicks in?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the master current control will also control the slave&#039;s current as well as the voltage.  With this in mind, the series power supply can and should be operated using only the master controls.  If a current source was wanted, everything can be done with the master controls.&lt;br /&gt;
&lt;br /&gt;
=== Operating in Parallel Mode ===&lt;br /&gt;
&lt;br /&gt;
Operating in parallel mode allows for a high current output.  The power supplies will be linked in parallel with each other.  Again in this case, the slave controls should be opened to the max, and all adjustments to the current or voltage should be down with the master controls. The load can go across either the slave or master terminals, but it is suggested to use the master terminals.&lt;br /&gt;
&lt;br /&gt;
In this mode, the maximum voltage remains 30V, but the maximum current will be 6A.  As this is a high current that would require many resistors in parallel to get the current without burning out the resistors, we do not test this limit here.&lt;br /&gt;
&lt;br /&gt;
In this mode, the parallel supply can be used in either current or voltage limiting mode using the techniques given above.&lt;br /&gt;
&lt;br /&gt;
== Digital Power Supply ==&lt;br /&gt;
This section will cover use of the Rigol DP1308A digital DC Power Supply.  First discuss the basic nature of the power supply and then discuss the display modes and several operation modes of the power supply.&lt;br /&gt;
&lt;br /&gt;
=== General Digital Power Supply Information ===&lt;br /&gt;
[[File:Digital Power Supply Front.jpg|400px|thumb|right|Front of a Rigol DP1308A digital power supply]]&lt;br /&gt;
&lt;br /&gt;
Rigol DP1308A digital DC Power Supply doesn&#039;t seem to have as clear of a meaning to its specification number.  There are three outputs on the digital power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Independent 6V/5A Output (red)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common 25V/1A Output (yellow)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common -25V/1A Output (green)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 6V supply is isolated from the from the other two outputs for pure independent sources if needed.  The two common port supplies have the same reference point for zero voltage.   One supply will give positive voltages from that zero, while the other goes more negative.  This can be considered the two supplies being connected in series as above for the analog circuits.&lt;br /&gt;
&lt;br /&gt;
Again all the outputs are floating by default.  There is a ground terminal on the front that can be used to ground the terminals if desired.  Remember that if this is to be used to connect to the negative terminals as marked on the power supply.&lt;br /&gt;
&lt;br /&gt;
=== Front panel controls ===&lt;br /&gt;
[[File:Digital controls1.jpg|250px|thumb|right|Section of the panel for selecting power supplies and turning them on/off]]&lt;br /&gt;
&lt;br /&gt;
At first changing the voltage and current for the supplies can seem odd and cumbersome, so we will first familiarize ourselves with the controls.  Directly to the right of the display, you&#039;ll notice the buttons shown to the right.  With these controls, you are able to select which supply you will be controlling with the +6V, +25V and -25V buttons.  With the power on, try selecting the different outputs.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Looking at the display, how can you tell which one is active?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Above the output selection are the buttons for turning on/off all the supplies at the same time.  Press the All on button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why do you think they would prompt this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Select cancel using the button directly under cancel on the display. Typically turning all the supplies on is not the best idea unless you are sure everything is setup correctly.  Lets go ahead and select the 6V supply.  Now press the on/off button directly below it to turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can we tell the supply is turned on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is there more than one way to tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Go ahead and turn off the 6V supply.  We will move to discuss how to set the voltages and currents for the outputs.  You should notice at the bottom of the display the words Volt, Curr, O.V.P. and O.C.P.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which one is light up?  What do you think this means?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The buttons below each of those will allow to to set the voltage, current, over voltage protection and over current protection, respectively.&lt;br /&gt;
[[File:Digital controls3.jpg|400px|thumb|right|Panel section for setting values]]&lt;br /&gt;
If we want to set the voltage, there are two ways to do it:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjusting the value with the cursor.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Setting the value directly.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
First, we will use the cursor to set it.  Select Volt below the display to set the voltage.  You will notice a little white box in the lower smaller voltage.  The location of the box can be moved using the left and right arrows on the grey dial to the right of the display.  The value of the box can be shifted up and down using the up and down arrows.  Try setting the voltage to 0.5V and 1A.  Remember that to switch to current, you&#039;ll need to select it using the display.&lt;br /&gt;
&lt;br /&gt;
Now we use the number pad to set the voltage and current.  This is done by typing the value into the keypad, then selecting the units you wish to use.  To select the units, you can either use the grey buttons that were used to adjust previously.  Or using the buttons below the display.  Try setting the voltage back to 6V and current in 5A.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;6&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Do you have to have the current selected to change the current with this method?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which method do you prefer to use?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
We will discuss the over protection functions later, but for now know that they can be set in the same manner as for the voltage and current.&lt;br /&gt;
&lt;br /&gt;
=== Display Modes ===&lt;br /&gt;
&lt;br /&gt;
There are four display modes available for the Rigol digital power supply.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General display mode (default when turned on)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The two categories that change are the general/focus and waveform display.  The button to switch to focus mode is at the lower right of the display (looks like a magnifying glass), press it to see what happens.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Describe what is different.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Can you change which channel is focused on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This power supply has a timing mode that can be used to switch the voltage/current after a set amount of time.  The focus mode displays the next current and voltage settings when using timing.  We will discuss timing later.&lt;br /&gt;
&lt;br /&gt;
On the right side of the control panel you will see the &amp;quot;Wave Disp&amp;quot; under the number pad.  Press it now.  Turn on the current channel, then set the voltage to 10V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you notice?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to another value and wait a few seconds.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How often does this display update?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now switch to a different channel.  This channel will now be the focus of the display.  In this mode it is easy to see which channel is currently being set.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is this channel in waveform display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you think the general waveform display looks like right now?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Return to general mode by pressing the focus button again.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is it what you expected?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Depending on your application, some of the channels will remain fixed, while others can be set on a timer and which one you want to watch is important.&lt;br /&gt;
&lt;br /&gt;
Now that you have stepped through the different display settings, you should be able to use the one that is most applicable to your application!&lt;br /&gt;
&lt;br /&gt;
=== Voltage Supply ===&lt;br /&gt;
[[File:Digitalps.png|250px|thumb|right|4 100ohm resistor is parallel as load attached to the 6V channel of the digital power supply]]&lt;br /&gt;
&lt;br /&gt;
We will now explore using this power supply as a voltage source.  For our load we will use the 4 100ohm resistors in parallel. We will use the 6V channel and attach the load as shown in the figure.  You can have the display set to which ever mode you want.  Turn on the 6V channel.  Set the Voltage to 5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current currently set to? (if not 5A set to 5A)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to a few other values and witness the changes.&lt;br /&gt;
&lt;br /&gt;
These resistors cannot take too much current before they start to burn.  As was done for the analog supply, we will now examine current protection for our load.  For now set the voltage equal to zero before moving on.&lt;br /&gt;
&lt;br /&gt;
==== Current Limited and Over Current Protection ====&lt;br /&gt;
&lt;br /&gt;
There are two ways to protect the circuit from too much current.  The two ways are current limiting and over current protection (OCP).  Current limiting will hold the voltage below a certain value, while the OCP will shut off the channel completely.&lt;br /&gt;
&lt;br /&gt;
Set the current value to 0.1A.  Now set the voltage to 1V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the voltage to 5V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
As with the analog supplies, the highest the current will go is what we have set the current.  This is current limiting.&lt;br /&gt;
&lt;br /&gt;
Now set the voltage to zero and the current to 5A.  Press the OCP button below the display.  By default this is set to off and 5.5A.  Set the OCP. to 0.1A.  Then press the OCP button to turn on OCP.  Now set the voltage to 5V.  If you are using keypad entry for changing voltages, you will need to press the voltage button below the display first before setting the value.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happened?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the output on the display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will notice that not only did it turn off the channel, but it also turned off OCP.  Try turning OCP back on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;9&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What needs to happen before you can turn OCP back on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You typically want to reset your voltage and current before you turn the channel on again.&lt;br /&gt;
&lt;br /&gt;
Before moving on, you want to make sure that OCP is off.&lt;br /&gt;
&lt;br /&gt;
=== Current Supply, Voltage limiting and Over Voltage Protection ===&lt;br /&gt;
&lt;br /&gt;
To have a current supply, it follows the same as for the analog supply for a current supply.  You will set the voltage to maximum and then set the current to the desired amount.  &lt;br /&gt;
&lt;br /&gt;
Make sure you start with the channel off. We will use the setup from the voltage supply section. Set the voltage to 6V and current to 0A.  Now turn on the channel.  Set the current to 50mA.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the current to 0.3A&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will not get the 0.3A you want as the supply has now been voltage limited.  The same idea holds that the highest voltage you will get for a given current is set by the voltage input.&lt;br /&gt;
&lt;br /&gt;
Now set the Over Voltage Protection to 3V and then turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is this any different than when OCP was used?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Remember that if the channel is shut off for this reason to reset your current to zero before turning the channel back on and then enabling the OVP.&lt;br /&gt;
&lt;br /&gt;
Note! You can set both OCP and OVP at the same to protect from high voltages and currents at the same time!&lt;br /&gt;
&lt;br /&gt;
=== Series mode (multiplexed) ===&lt;br /&gt;
&lt;br /&gt;
This digital power supply has two of the channels automatically in series mode.  The yellow +25V channel and green -25V supply have a common port. To explore this we will use the multimeter to test the voltages at different points of the output channel.  Set the yellow channel to 5V and the green channel to 12V and turn on both channels.  Use the multimeter to answer the following questions:&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the 25V channel (red to the left)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the -25V channel (red to the right)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the output of the -25V channel to the output of the 25V channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case we can separately change the voltage for each channel.  There is no master power supply.  &lt;br /&gt;
&lt;br /&gt;
==== Tracking ====&lt;br /&gt;
We can setup either supply to control the output of the other.  This is done with the track button. With the yellow channel (+25V) set to 5V and the green channel (-25V) set to 12V, select the green channel.  Turn on both channels and press the track button on the right side of the panel.  The display will prompt that this will change the output, hit OK.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output of the green channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Try changing the voltage of the -25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now change the voltage of the +25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This has made the yellow channel the master and the green channel the slave.  Alternatively, the green channel is tracking the yellow channel.  Now select the yellow channel and hit the track button.  It&#039;ll prompt you about the voltage changing, hit OK.  The yellow channel is tracking the green channel now.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can you tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you press track again, the channel with stop tracking.&lt;br /&gt;
&lt;br /&gt;
Using the tracking is the best way to control the power supply between 0 and 50V using the two channels in series.&lt;br /&gt;
&lt;br /&gt;
=== Timing mode ===&lt;br /&gt;
&lt;br /&gt;
Timing mode allows for you to set up the power supply to change the voltage and current at set points in time.  To see how this is done, we will go through a sample timing scheme.  We will use the 4 100ohm resisters in parallel as our load and the +25V supply.  Press the utility button on the right side of the panel. Then press TimerSet under the display.  You should see the display shown to the right.&lt;br /&gt;
&lt;br /&gt;
[[File:timing.jpg|400px|thumb|right|Display for timing when first entered.]]&lt;br /&gt;
&lt;br /&gt;
With the buttons below the display, you can select which channel you will be modifying.  Select +25V.  The left side of the display that is currently empty will later show the graphs of the voltage and current as a function of time.  The right side is where the values will be set.  There are 5 steps that the timing can do.  For each step you can set the voltage, current and duration of the step.  The &amp;quot;Left&amp;quot; column is used for specialized timing and will not be discussed in this module.  If it needs to be used check the user manual for the power supply.  The arrows can be used to select which value you are setting.  To set a value, the keypad must be used.  Once the value is set, it will automatically step to the next box. Input the follow settings:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 1- 10V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 2- 5V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 3- 50mV, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 4- 25V, 0.5A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 5- 25V, 50mA, 40s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
It should look now look like the 2nd image in this section.  The left side now should visually show the settings and durations of each of the steps.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  How is the duration represented compared to the total time?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now press exit to return to the normal display.  Now change the display to focused waveform on the 6V channel.  Finally turn on the channel, press the timer button, hit OK, sit back and record the data values.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time as you see it on the display.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
[[File:timing2.jpg|400px|thumb|right|Display for timing after values have been entered.]]&lt;br /&gt;
You will notice that it turns off the channel at the end.  Press timer while the channel is off, then turn on the channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Often timing can be used to run a circuit start to finish.  At this point feel free to play with the timing, but be careful to not burn out your resistors!  To do this set the OCP to 0.5V, the voltage to zero and the current to zero.  Now turn on the channel, activate OCP and then hit the timer button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time for your new parameter set.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now you can set basic changes in voltage as a function of time.  Function generators will typically be used when a repeating change needs to be used.  Usage of them can be found The module is available [[Function Generators and Oscilloscopes|here]].&lt;br /&gt;
&lt;br /&gt;
=== Other Functions ===&lt;br /&gt;
&lt;br /&gt;
There are a few more settings and modes that can be used with the digital power supply such as&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Storing and recalling system parameters &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; USB, LAN and GPIB interfaces&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; U disk store&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Remote control via Web or commands&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Help function&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Utility settings&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
For more information on these settings and modes, please refer to the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Interferometers&amp;diff=3657</id>
		<title>Interferometers</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Interferometers&amp;diff=3657"/>
		<updated>2024-01-11T19:14:35Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The goal of the spectroscopy project was to create a Michelson, Mach-Zehnder and Sagnac Interferometer.  Each setup utilized a 632.8nm Helium-Neon laser.&lt;br /&gt;
&lt;br /&gt;
In order to reduce fringe-drift, the Michelson interferometer employed both an optical iris and an optical isolator.  The setup of the Michelson interferometer is shown in Figure 1.  The Michelson interferometer was used to measure both the &amp;quot;voltage-to-expansion&amp;quot; ratio of a PZT and the coherence length of the He-Ne laser.&lt;br /&gt;
[[File:IMG 20140319 230925.JPG|400px|right|thumb|Figure 1: Setup of the Michelson Interferometer]]&lt;br /&gt;
&lt;br /&gt;
To measure the &amp;quot;voltage-to-expansion&amp;quot; ratio, the PZT was wedged in the track of he adjustable mirror.  By increasing the voltage across the PZT and simultaneously counting the number of fringes that passed an arbitrary point on the projection screen, it was possible to measure the expansion distance of the PZT using the relation d=m*lambda/2.  Multiple measurements were recorded and plotted in Figure 2.  The slope of the graph indicates the expansion rate of the PZT is 100nm/Volt.&lt;br /&gt;
[[File:Pzt2.jpg|400px|right|thumb|Figure 2: Voltage per meter measurements of PZT]]&lt;br /&gt;
&lt;br /&gt;
To measure the coherence length of the He-Ne laser, mirror 1 was gradually moved backwards until the interference pattern was no longer visible.  The coherence length &amp;lt;l&amp;gt;, is given by the relation &amp;lt;l&amp;gt;=2*d, where d is the difference in length between the arms of the interferometer (Figure 3).  The coherence length was determined to be 78cm.&lt;br /&gt;
&lt;br /&gt;
[[File:Colength.jpg|400px|right|thumb|Figure 3: Arm lengths are given by d1 and d2. Mirror 1 moved backwards until interference pattern no longer visible.  Coherence length given by &amp;lt;l&amp;gt;=2(d1-d2).]]&lt;br /&gt;
&lt;br /&gt;
The mach-zehnder interferometer setup is shown in Figure 4.  As with the Michelson interferometer, an optial iris was employed to minimize outside noise.  However, the optical isolator proved unnecessary with the Mach-Zehnder interferometer as no fringe drift was observed.&lt;br /&gt;
[[File:mach.jpg|400px|right|thumb|Figure 2: Setup of the Mach-Zehnder interferometer]]&lt;br /&gt;
&lt;br /&gt;
The Setup of the Sagnac interferometer is shown in figure 5.  To rotate the interferometer, it was placed on a stool.  The power source and digital oscilloscope were placed on another platform above the interferometer (Figure 6).&lt;br /&gt;
[[File:giraffe.jpg|400px|right|thumb|Figure 5: Setup of the Sagnac interferometer.  The extra mirror behind the beam splitter was added to fit both the detector and lens on rotating platform]]&lt;br /&gt;
&lt;br /&gt;
[[File:Sangac.jpg|400px|right|thumb|Figure 6: Sagnac interferometer on rotating stage]]&lt;br /&gt;
The intended goal with the Sagnac interferometer was to verify the wavelength of the He-Ne laser.  This could be accomplished by the relations z=(4*omega*A)/(lambda*c) and P(t)=(Pin/2)(1+cos(z(t)).  Here z is the phase-change, omega is the angular velocity of the rotating platform, A is the area enclosed the arms of the interferometer, and P(t) is the photocurrent.&lt;br /&gt;
&lt;br /&gt;
Due to outside noise, it was not possible to obtain a clean measurement of the photocurrent.  In order to reduce noise, future experiments might include a lock-in amplifier.&lt;br /&gt;
&lt;br /&gt;
[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]&lt;br /&gt;
&lt;br /&gt;
[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm  The Michelson Interferometer]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some more interesting uses for the Michelson and Mach-Zehnder is to determine the index of refraction for various material. More so, the Michelson can actually find the coherence length of a laser in a different way, one can observe the visibility as one changes the distance of one of the arm lengths of one of the mirrors. For instance as the arm length, d, is increased the intensity can be recorded by a laser power meter and can then directly determine the visibility of light. Once this has been completed one will need to then determine the modes of the laser within this distance and can then determine the coherence length by relating it to the n-mode laser and solve for L, the coherence length.&lt;br /&gt;
&lt;br /&gt;
The Michelson can as well be used to determine the index of refraction, n, of a material. One would need to place an object within the path of one of the beams and as the angle is changed, theta,fringes should begin to appear or disappear, N. Now in order to find n, one also needs to know the wavelength f the light source, lambda, and the thickness of the material t;&lt;br /&gt;
                                             n=[(2*t-N*lambda)*(1-cos(theta))]/[2*t*(1-cos(theta))-N*lambda] (see equation (15) in link below)&lt;br /&gt;
[[Media:Michelson_Interferometer_Lab_Manual.pdf]]&lt;br /&gt;
&lt;br /&gt;
One can also use the Mach-Zehnder to determine the index of refraction, n, of a material but in this case one can choose to look at a gas rather than a solid as was done with the Michelson. Just place a vacuum tube with clear lenses on each end and watch the fringe count, N, as the pressure is increased. The equation for n is;&lt;br /&gt;
                                             n=[(N*lambda)/(2*l*deltaP)]*(deltaP)+1&lt;br /&gt;
where lambda is the wavelength, deltaP is the change in pressure, and l is the length of the vacuum tube. One should see a linear growth of the index of refraction as the pressure is increased&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:Michelson_Interferometer_Lab_Manual.pdf&amp;diff=3656</id>
		<title>File:Michelson Interferometer Lab Manual.pdf</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:Michelson_Interferometer_Lab_Manual.pdf&amp;diff=3656"/>
		<updated>2024-01-11T19:13:27Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Interferometers&amp;diff=3655</id>
		<title>Interferometers</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Interferometers&amp;diff=3655"/>
		<updated>2024-01-11T19:10:49Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;The goal of the spectroscopy project was to create a Michelson, Mach-Zehnder and Sagnac Interferometer.  Each setup utilized a 632.8nm Helium-Neon laser.&lt;br /&gt;
&lt;br /&gt;
In order to reduce fringe-drift, the Michelson interferometer employed both an optical iris and an optical isolator.  The setup of the Michelson interferometer is shown in Figure 1.  The Michelson interferometer was used to measure both the &amp;quot;voltage-to-expansion&amp;quot; ratio of a PZT and the coherence length of the He-Ne laser.&lt;br /&gt;
[[File:IMG 20140319 230925.JPG|400px|right|thumb|Figure 1: Setup of the Michelson Interferometer]]&lt;br /&gt;
&lt;br /&gt;
To measure the &amp;quot;voltage-to-expansion&amp;quot; ratio, the PZT was wedged in the track of he adjustable mirror.  By increasing the voltage across the PZT and simultaneously counting the number of fringes that passed an arbitrary point on the projection screen, it was possible to measure the expansion distance of the PZT using the relation d=m*lambda/2.  Multiple measurements were recorded and plotted in Figure 2.  The slope of the graph indicates the expansion rate of the PZT is 100nm/Volt.&lt;br /&gt;
[[File:Pzt2.jpg|400px|right|thumb|Figure 2: Voltage per meter measurements of PZT]]&lt;br /&gt;
&lt;br /&gt;
To measure the coherence length of the He-Ne laser, mirror 1 was gradually moved backwards until the interference pattern was no longer visible.  The coherence length &amp;lt;l&amp;gt;, is given by the relation &amp;lt;l&amp;gt;=2*d, where d is the difference in length between the arms of the interferometer (Figure 3).  The coherence length was determined to be 78cm.&lt;br /&gt;
&lt;br /&gt;
[[File:Colength.jpg|400px|right|thumb|Figure 3: Arm lengths are given by d1 and d2. Mirror 1 moved backwards until interference pattern no longer visible.  Coherence length given by &amp;lt;l&amp;gt;=2(d1-d2).]]&lt;br /&gt;
&lt;br /&gt;
The mach-zehnder interferometer setup is shown in Figure 4.  As with the Michelson interferometer, an optial iris was employed to minimize outside noise.  However, the optical isolator proved unnecessary with the Mach-Zehnder interferometer as no fringe drift was observed.&lt;br /&gt;
[[File:mach.jpg|400px|right|thumb|Figure 2: Setup of the Mach-Zehnder interferometer]]&lt;br /&gt;
&lt;br /&gt;
The Setup of the Sagnac interferometer is shown in figure 5.  To rotate the interferometer, it was placed on a stool.  The power source and digital oscilloscope were placed on another platform above the interferometer (Figure 6).&lt;br /&gt;
[[File:giraffe.jpg|400px|right|thumb|Figure 5: Setup of the Sagnac interferometer.  The extra mirror behind the beam splitter was added to fit both the detector and lens on rotating platform]]&lt;br /&gt;
&lt;br /&gt;
[[File:Sangac.jpg|400px|right|thumb|Figure 6: Sagnac interferometer on rotating stage]]&lt;br /&gt;
The intended goal with the Sagnac interferometer was to verify the wavelength of the He-Ne laser.  This could be accomplished by the relations z=(4*omega*A)/(lambda*c) and P(t)=(Pin/2)(1+cos(z(t)).  Here z is the phase-change, omega is the angular velocity of the rotating platform, A is the area enclosed the arms of the interferometer, and P(t) is the photocurrent.&lt;br /&gt;
&lt;br /&gt;
Due to outside noise, it was not possible to obtain a clean measurement of the photocurrent.  In order to reduce noise, future experiments might include a lock-in amplifier.&lt;br /&gt;
&lt;br /&gt;
[[Media:How_Does_a_Mach-Zehnder_Interferometer_Work?.pdf]]&lt;br /&gt;
&lt;br /&gt;
[http://www.phy.davidson.edu/stuhome/cabell_f/diffractionfinal/pages/michelson.htm  The Michelson Interferometer]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Some more interesting uses for the Michelson and Mach-Zehnder is to determine the index of refraction for various material. More so, the Michelson can actually find the coherence length of a laser in a different way, one can observe the visibility as one changes the distance of one of the arm lengths of one of the mirrors. For instance as the arm length, d, is increased the intensity can be recorded by a laser power meter and can then directly determine the visibility of light. Once this has been completed one will need to then determine the modes of the laser within this distance and can then determine the coherence length by relating it to the n-mode laser and solve for L, the coherence length.&lt;br /&gt;
&lt;br /&gt;
The Michelson can as well be used to determine the index of refraction, n, of a material. One would need to place an object within the path of one of the beams and as the angle is changed, theta,fringes should begin to appear or disappear, N. Now in order to find n, one also needs to know the wavelength f the light source, lambda, and the thickness of the material t;&lt;br /&gt;
                                             n=[(2*t-N*lambda)*(1-cos(theta))]/[2*t*(1-cos(theta))-N*lambda] (see equation (15) in link below)&lt;br /&gt;
[[Media:Refractive_index.pdf]]&lt;br /&gt;
&lt;br /&gt;
One can also use the Mach-Zehnder to determine the index of refraction, n, of a material but in this case one can choose to look at a gas rather than a solid as was done with the Michelson. Just place a vacuum tube with clear lenses on each end and watch the fringe count, N, as the pressure is increased. The equation for n is;&lt;br /&gt;
                                             n=[(N*lambda)/(2*l*deltaP)]*(deltaP)+1&lt;br /&gt;
where lambda is the wavelength, deltaP is the change in pressure, and l is the length of the vacuum tube. One should see a linear growth of the index of refraction as the pressure is increased&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:Refractive_index.pdf&amp;diff=3654</id>
		<title>File:Refractive index.pdf</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:Refractive_index.pdf&amp;diff=3654"/>
		<updated>2024-01-11T19:06:13Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Electronics_Obstacle_Course&amp;diff=3653</id>
		<title>Electronics Obstacle Course</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Electronics_Obstacle_Course&amp;diff=3653"/>
		<updated>2023-11-30T20:07:53Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Diodes */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Permanent Materials (located in the electronics area): ==&lt;br /&gt;
[[File:Electronic_station.jpg|right|500px]]&lt;br /&gt;
- power supplies  &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DG1022.pdf|function generators]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DS1102E.pdf|oscilloscopes ]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:Fluke_179.pdf| Fluke 179 multimeter (MM)]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:CX-920A.pdf| capacitance meter]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:PB-505.pdf|electronic proto-boards]]&amp;lt;br&amp;gt;&lt;br /&gt;
- wire, resistors, capacitors, inductors, diodes, Op-Amps, other ICs&amp;lt;br&amp;gt;&lt;br /&gt;
- photodiodes (PDs), light-emitting diodes (LEDs), laser diodes (LDs)&amp;lt;br&amp;gt;&lt;br /&gt;
- soldering equipment and supplies&lt;br /&gt;
&lt;br /&gt;
=== Materials to borrow when necessary ===&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;The Art of Electronics (AoE)- 3rd Edition&#039;&#039;, Horowitz &amp;amp; Hill&amp;lt;br&amp;gt;&lt;br /&gt;
- inductance meter&amp;lt;br&amp;gt;&lt;br /&gt;
- voltage supply&lt;br /&gt;
- Red LD module&lt;br /&gt;
- Optical power meter&lt;br /&gt;
- Spectrometer&lt;br /&gt;
&lt;br /&gt;
[[File:Symbols.png|frame|right|Electronic Component Symbols|200px]]&lt;br /&gt;
&lt;br /&gt;
=== Activities ===&lt;br /&gt;
&lt;br /&gt;
* If you have zero electronic training or experience read chapters 1-6 of Keith Brindley&#039;s eBook &#039;&#039;Starting Electronics&#039;&#039;.&lt;br /&gt;
* If you have a little experience with electronics proceed and consult &#039;&#039;Starting Electronics&#039;&#039; or &#039;&#039;The Art of Electronics&#039;&#039; as needed.&amp;lt;br&amp;gt;&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE - PUT BACK ELECTRONIC COMPONENTS IN APPROPRIATE PLACES AFTER EACH ACTIVITY&#039;&#039;&#039; &lt;br /&gt;
* Keep a journal of your activities, results and answers to any questions asked in the activities below. You will use this for your write-up. &lt;br /&gt;
&lt;br /&gt;
==== Resistor &amp;amp; Capacitor Basics ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 1 of AoE.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
[[File:Fluke_179.jpg|right|100px| thumb| multimeter]]&lt;br /&gt;
# With a MM measure the resistance of five 100 Ohm resistors. Do they fall within the specified tolerance?&lt;br /&gt;
## What is resistance? Can you provide an analogy based on water flowing through pipes?&lt;br /&gt;
## Describe physically a resistor.&lt;br /&gt;
## Is energy stored in a resistor or dissipated as heat? Can you provide an explanation of the basic physical processes?&lt;br /&gt;
## What is the resistance of two 100 Ohm resistors in series? How do resistors in series add?&lt;br /&gt;
## What is the resistance of two 100 Ohm resistors in parallel? How do resistors in parallel add?&lt;br /&gt;
## How might the MM measure the resistance? &lt;br /&gt;
## What can you say about the &amp;quot;internal&amp;quot; resistance of the MM in resistance measurement mode?[[File:Pb-505.jpg|right|100px|thumb|proto-board]]&lt;br /&gt;
## Using a proto-board and one of the 100 Ohm resistors put 2.5VDC &#039;&#039;&#039;across&#039;&#039;&#039; the resistor. Calculate the current. Use the MM in ammeter mode to measure the current. Are the calculated and measured values close? Does the power applied to the resistor fall within the power rating of the resistor? What is power? What could happen if you applied too much power to the resistor?&lt;br /&gt;
## What is current?&lt;br /&gt;
## How might the MM measure current?&lt;br /&gt;
## What can you say about the &amp;quot;internal&amp;quot; resistance of the ammeter used in the measurement of the current?&lt;br /&gt;
## How do the MM wire leads effect these measurements?&lt;br /&gt;
## Could you measure the resistance of a 1cm length of copper wire with the MM? Why?&lt;br /&gt;
# Put 150mA of DC current &#039;&#039;&#039;through&#039;&#039;&#039; a 10 Ohm resistor. &lt;br /&gt;
## What power is being applied to the resistor? Calculate the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the resistor. With the MM measure the voltage across the resistor. Are these values close?&lt;br /&gt;
##What is voltage?&lt;br /&gt;
## How might the MM measure a voltage?&lt;br /&gt;
## What can you say about the MM&#039;s &amp;quot;internal&amp;quot; resistance when it measures a voltage?&lt;br /&gt;
# With a function generator put a 5VAC (peak-to-peak) sinusoidal voltage at frequencies of 50, 500 and 1000 Hz &#039;&#039;&#039;across&#039;&#039;&#039; a ~ 5k Ohm resistor.&lt;br /&gt;
## Using the MM in voltage mode measure the AC voltage. Does it vary with frequency?&lt;br /&gt;
## Using the MM in current mode measure the AC current. Does it vary with frequency?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Measure the capacitance of five 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f unpolarized capacitors. Do they fall within the specified tolerance?&lt;br /&gt;
## What is capacitance? Describe physically a very simple capacitor.&lt;br /&gt;
## How is energy stored in a capacitor?&lt;br /&gt;
## What is the difference between unpolarized and polarized capacitors?&lt;br /&gt;
## What is the capacitance of two 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitors in series? How do capacitors in series add?&lt;br /&gt;
## What is the capacitance of two 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitors in parallel? How do capacitors in parallel add?&lt;br /&gt;
## How might the capacitance meter measure the capacitance?&lt;br /&gt;
## Using a proto-board apply 2.5VDC &#039;&#039;&#039;across&#039;&#039;&#039; an 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor and 100 Ohm resistor in series. Using a MM measure the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the entire capacitor + resistor series network. Measure the voltage across the capacitor only. Measure the voltage across the resistor only. Explain the measured voltage across the resistor.&lt;br /&gt;
## Now apply a 2.5VAC sinusoidal voltage &#039;&#039;&#039;across&#039;&#039;&#039; the capacitor + resistor network at 50, 500 and 1000 Hz.&lt;br /&gt;
## What&#039;s the voltage across the resistor for 50, 500 and 1000Hz?&lt;br /&gt;
## What&#039;s the voltage across the capacitor for 50, 500 and 1000Hz?&lt;br /&gt;
## How does the voltage across the capacitor as a function of frequency compare to the voltage across a resistor as a function of frequency?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt; [[File:Voltagedivider.gif|right|100px]]&lt;br /&gt;
# Build a network of two (possibly different valued) resistors that takes an input voltage of 5VDC and produces an output voltage at 2.5VDC.&lt;br /&gt;
# Build a network of two (possibly different valued) resistors that takes an input voltage of 5VDC and produces an output voltage at 1.25VDC.&lt;br /&gt;
# Build a network of an &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor and a 100 Ohm resistor in series.&lt;br /&gt;
## Apply a 1VAC sinusoidal (input) signal to the capacitor at 100, 1000, 5000, 10000, 15000, 20000, 25000 and 50000 Hz and measure the (output) voltage between the capacitor and the resistor for each frequency.&lt;br /&gt;
## Plot as a function of frequency. What can you say about the frequency dependence of the ratio of output to input voltage?&lt;br /&gt;
## You&#039;ve just built three very useful circuits called voltage dividers. Would a voltage divider containing only resistors work for AC voltages? If you&#039;re unsure, try it. Would a voltage divider containing at least one capacitor work for DC voltages? Again, if you&#039;re unsure, try it.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Now, apply a 1V 10Hz square pulse to a 500 Ohm resistor and an 10 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor in series.&lt;br /&gt;
## Using an oscilloscope measure the voltage across the capacitor. (You&#039;ll need to use the oscilloscope&#039;s front-panel controls to get the waveform on the screen and get the triggering to work)&lt;br /&gt;
## Are the leading and trailing edges of the pulse similar? Why?&lt;br /&gt;
## What is the &amp;quot;rise time&amp;quot; of the leading edge (10% to 90%)?&lt;br /&gt;
## What is the &amp;quot;fall time&amp;quot; of the trailing edge (10% to 90%)?&lt;br /&gt;
## What is the time it takes for the trailing edge to fall to 1/e of its initial value?&lt;br /&gt;
## What is the value of the resistance multiplied by the capacitance?&lt;br /&gt;
## Repeat the above measurements with a 1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor instead of the 10 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor.&lt;br /&gt;
## Are the rise and fall times faster or slower?&lt;br /&gt;
## What can you say about the rise time as a function of capacitance?&lt;br /&gt;
# Next let&#039;s use resistors and a capacitors to build one frequency-low-pass circuit and one frequency-high-pass circuit.[[File:LPF.png|right|75px]]&lt;br /&gt;
## Use what you&#039;ve learned about the AC and DC responses of capacitors and resistors to put together a resistor + capacitor network that blocks DC current, strongly attenuates low frequencies but passes high frequencies (hint: recall the voltage divider  of 7 above).[[File:HPF.png|right|75px]]&lt;br /&gt;
## Determine the circuit&#039;s 3dB point.&lt;br /&gt;
## Put together a resistor + capacitor network that passes DC current and low frequencies but strongly attenuates high frequencies.&lt;br /&gt;
## Determine the circuit&#039;s 3dB point.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Inductor Basics ====&lt;br /&gt;
[[File:Inductor_symbol.png|thumb|100px|right|Inductor Symbol- L]]&lt;br /&gt;
# Measure the inductance of five 1mH inductors. Estimate their tolerance (5%, 10%, 15% or 20%).&lt;br /&gt;
## What is inductance? Describe physically a very simple inductor.&lt;br /&gt;
## How is energy stored in an inductor?&lt;br /&gt;
## What is the inductance of two 1mH inductors in series? How do inductors add in series?&lt;br /&gt;
## What is the inductance of two 1mH inductors in parallel? How do inductors add in parallel?&lt;br /&gt;
## Do inductors add like resistors or capacitors?&lt;br /&gt;
## How does the inductance meter measure inductance?&amp;lt;br&amp;gt;&lt;br /&gt;
# Using a proto-board apply 1VDC &#039;&#039;&#039;across&#039;&#039;&#039; a 1mH inductor and 500 Ohm resistor in series. Using a MM measure the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the entire inductor + resistor series network. What is the inductors &amp;quot;resistance&amp;quot; in this situation?&lt;br /&gt;
# Put a 1VAC sinusoidal signal across the inductor + resistor network at 50, 500, 2kHz, 5kHz and 10kHz, 25kHz, 50000, 250kHz and 1Mhz.&lt;br /&gt;
## At each frequency measure the voltage across the inductor only. Measure the voltage across the resistor only. Explain the measured voltage across the resistor in terms of how the inductor behaves with frequency.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
==== Resonant circuits ====&lt;br /&gt;
[[File:LR_Bandpass_filter.jpg|thumb|right|LC resonant circuit - bandpass filter|150px]]&lt;br /&gt;
# Construct the circuit shown at the right using a 500 Ohm resistor, 1mH inductor and a 10uf capacitor.&lt;br /&gt;
## Apply a 1VAC sinusoidal input voltage at frequencies between 10 and 6200Hz and &#039;&#039;&#039;plot&#039;&#039;&#039; the output voltage as a function of frequency.&lt;br /&gt;
## At what frequency is the response of the circuit maximum?&lt;br /&gt;
## Use QUCS or LTSpice to simulate this circuit. These software programs are on the lab desktop computers (or you can put them on your own laptop. You can find information on the programs in these links [http://qucs.sourceforge.net/ QUCS] and [http://www.analog.com/en/design-center/design-tools-and-calculators/ltspice-simulator.html LTSpice]. Consult with the instructor or TA concerning how to do this and what the results should look like.&lt;br /&gt;
## Explain the response of this circuit based on what you&#039;ve learned about capacitors and inductors.&lt;br /&gt;
## When would a circuit with a response like this be useful?&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Impedance and Reactance ====&lt;br /&gt;
Impedance is resistance generalized. A resistor resists (dissipates power) but does not change the waveform (square wave in square wave out). Capacitors and inductors (since they store energy) can react and cause changes in the waveform (see section 8 above). &lt;br /&gt;
&lt;br /&gt;
The concept of impedance includes resistance and reactance effects. That is, &#039;&#039;&#039;Impedance = Resistance + Reactance&#039;&#039;&#039;. All the frequency dependence is contained within the reactance. For ideal capacitors and inductors their resistance is zero (not the case in real life). An ideal resistor is a purely resistive component and has no reactance (again, not the case in real life). &lt;br /&gt;
&lt;br /&gt;
We can use the word &amp;quot;impedance&amp;quot; in general. When we say something like, &amp;quot;What&#039;s the resistor&#039;s impedance&amp;quot;, we are referring to the resistance term of the resistor&#039;s impedance equation. When we say something like, &amp;quot;What&#039;s the impedance of the capacitor&amp;quot;, we are referring to the reactance term of the capacitor&#039;s impedance equation. &lt;br /&gt;
# Think back to the previous exercises. &lt;br /&gt;
## What is the frequency dependence of a capacitor&#039;s impedance?&lt;br /&gt;
## What is the frequency dependance of an inductors impedance?&lt;br /&gt;
&lt;br /&gt;
==== Diodes ====&lt;br /&gt;
For the electronic components considered above (resistor, capacitor, inductor) it doesn&#039;t matter which way you put them into a circuit - they are non-directional. That is, you can flip their leads and the circuit will behave the same. For diodes this is not the case. Diodes are directional and it matters which way they are oriented in a circuit. Diodes are physically more complicated than the components treated above so we won&#039;t go into an explanation of just what a diode is now. Here, we&#039;ll only consider how diodes behave. &amp;lt;br&amp;gt; &amp;lt;br&amp;gt;For a more detailed study of diodes and transistors you may read Sze&#039;s &#039;&#039;Semiconductor Physics&#039;&#039; (on bookshelf): All of chapter 1, sections 2.1, 2.2, 2.3 for basic semiconductor background and sections 3.1, 3.2, 3.3, 3.4 for diodes and PN junctions and section 4.1 for transistor action.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Semiconductor_en.jar |Download and run this PN junction applet]]. By adjusting the bias voltage show that the diode conducts only under forward bias. &lt;br /&gt;
&lt;br /&gt;
[[File:Diodecathan.png|right|Diode]]&lt;br /&gt;
# Put a (6V) Zener Diode in series with a MM in ammeter mode and ground the anode. &lt;br /&gt;
## Apply 0.7VDC to the cathode and measure the current through the diode.&lt;br /&gt;
## Now ground the cathode and apply 0.7VDC to the anode and measure the current through the diode.&lt;br /&gt;
## Are the currents the same? &lt;br /&gt;
# With the cathode grounded apply voltages from 0-1.5 VDC to the anode in 0.1 V increments and plot the result. This is the forward I-V curve for the diode. The diode is said to be &amp;quot;forward biased&amp;quot; in this situation.&lt;br /&gt;
## There should be a &amp;quot;knee&amp;quot; in this curve where the diode &amp;quot;turns on&amp;quot; or conducts. About what voltage is this?&lt;br /&gt;
# Using a (current limited) voltage supply, apply voltages from 0-10VDC to the cathode (anode grounded) and plot the result. This is the reverse I-V curve for the diode. The diode is said to be &amp;quot;reverse biased&amp;quot; in this situation. &lt;br /&gt;
## There should be a &amp;quot;knee&amp;quot; in this curve too where the diode starts to conduct in the reverse direction. About what voltage is this?&lt;br /&gt;
## Are the forward and reverse &amp;quot;turn on&amp;quot; voltages symmetric about 0V?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Construct the diode clamp circuit shown at the right.[[File:Diode_Clamp.png|wiring|400px|right]]&lt;br /&gt;
## Apply input voltages from 0-10VDC and plot the output voltage vs. input voltage.&lt;br /&gt;
## Does the diode clamp earn its name?&lt;br /&gt;
## Can you explain the maximum output voltage?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Employ an AC voltage divider with a resistor and the P6KE6.8 to measure the diode&#039;s capacitance as a function of bias voltage. [[File:Voltage_Divider.png|100px|right]]This diode capacitance issue will play a role later on when we encounter optoelectronic devices. In the AC voltage divider shown at the right the C indicates the capacitance of the diode. That is, don&#039;t put a capacitor where &amp;quot;C&amp;quot; is but the P6KE6.8 diode with its cathode grounded. Apply a 20mV AC sinusoidal signal with varying (positive to the anode) DC offsets (larger than 20mV) to the input. The DC offset is the diode&#039;s bias voltage. Look for amplitude changes to the AC signal at the output. With the voltage divider formula and the formula for the impedance of a capacitor you should be able to plot the diodes capacitance Cd as a function of bias voltage (the DC offset).&lt;br /&gt;
## Does the diode&#039;s capacitance decrease of increase with positive bias voltages?&lt;br /&gt;
## Is there a limiting behaviour? If so, can you explain it?&lt;br /&gt;
## Now measure the diode&#039;s capacitance for reverse biases from 0 to 25VDC (positive to the cathode).&lt;br /&gt;
## Does the diode&#039;s capacitance change much for reverse bias voltages?&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Bridge Circuits ====&lt;br /&gt;
This section under construction...&lt;br /&gt;
&lt;br /&gt;
==== Transistors ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 2.1, 2.1.1, 2.2.1 and 2.2.3 concerning bipolar transistors in AoE&lt;br /&gt;
[[File:Bipolar-junction-transistors.jpg|thumb|right| Transistors|100px]]&lt;br /&gt;
All the components (even diodes) examined above are considered &amp;quot;passive&amp;quot; components. That is, they can&#039;t supply energy. Transistors are considered &amp;quot;active&amp;quot; in the sense that they can supply energy (or amplify). Like diodes, transistors are physically more complicated than resistors, capacitors and inductors and we won&#039;t go into detail about just what they are. Instead we&#039;ll focus on how transistors behave. The collector C must be biased more positive than the emitter E. The current through the collector IC is roughly proportional to the current into the base IB (usually anywhere from 50 to 250 times IB). So there you have it. In a first approximation the transistor is a current amplifier. A small current flowing into the base controls a much larger current flowing into the collector.&lt;br /&gt;
[[File:Transcurrentamp.png|right|200px]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
# Ground the emitter of a [[Media:TIP31C.pdf |TIP31C]] npn transistor. Put a 22 Ohm resistor in series with a MM in ammeter mode between the collector and a +2.5VDC supply. Put a 1kOhm resistor in series with an ammeter between the base and the +2.5VDC supply. Advice: Make sure you have the transistor pins labeled correctly (maybe look up the spec sheet).&lt;br /&gt;
## Measure the collector current and the base current for supply voltages VS between 1.3 to 3VDC.&lt;br /&gt;
## Plot IC/IB vs. VS. &lt;br /&gt;
## What is the proportionality factor between IC and IB at VS = 1.3VDC? &lt;br /&gt;
## Is the proportionality factor independent of VS ?&lt;br /&gt;
## Does the transistor amplify current?&lt;br /&gt;
# Read Chpt 3.1, 3.1.1, 3.2.1, 3.1.3 concerning Field-Effect Transistors (FETs) in AoE.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Operational Amplifiers (OpAmps) ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 4.1, 4.1.1, 4.1.2, 4.1.3, 4.2.1, 4.2.2, 4.2.3, 4.2.6, 4.2.7, 4.5.7 concerning Operational Amplifiers (OpAmps) in AoE.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
OpAmps are integrated circuits (ICs) that contain within them many transistors, resistors, capacitors and possibly diodes miniaturized into a single IC component (see chapter 9 of the eBook &#039;&#039;Starting Electronics&#039;&#039;). [[File:Op-Amp.jpg|thumb|What an OpAmp actually looks like|100px]] OpAmps are very high gain dc-coupled differential amplifiers with single-ended outputs and are usually employed with feedback.&lt;br /&gt;
The OpAmp we will be using is National semiconductor&#039;s general purpose [[Media:LM741.pdf| LM741]]. OpAmp behaviour can may be simplified into two simple rules.&lt;br /&gt;
* The output attempts to do whatever is necessary to make the voltage difference between the inputs zero.&lt;br /&gt;
* The inputs draw no (very little anyway) current.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Opamp.jpg|thumb|right|150px|OpAmp circuit symbol]]&lt;br /&gt;
# Use an LM741, a 1kOhm and a 500Ohm resistor to construct the non-inverting amplifier shown at the right (power to OpAmp not shown).[[File:Noninverting.png|thumb|Non-inverting amplifier]]&lt;br /&gt;
## Power the OpAmp at +10VDC and -10VDC.&lt;br /&gt;
## Apply a +1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## Can you explain the OpAmps behaviour in terms of the first rule above?&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)?&lt;br /&gt;
## What is the value of 1 + Rf/Rg?&lt;br /&gt;
## Are these last two values the same?&lt;br /&gt;
## Replace Rf with Rg and Rg with Rf.&lt;br /&gt;
## Apply a +1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)? &lt;br /&gt;
## What is the value of 1 + Rf/Rg (remember you switched the values of Rf and Rg)?&lt;br /&gt;
## What is the general formula for the gain of a non-inverting amplifier?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Reconfigure the LM741, the 1kOhm and 500Ohm resistors for an inverting amplifier (see diagram at right).[[File:Inverting_Amplifier.png|thumb|Inverting amplifier|200px]]&lt;br /&gt;
# Apply a +1VDC input and measure the output.&lt;br /&gt;
## Can you explain the OpAmps behaviour in terms of the first rule above?&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)?&lt;br /&gt;
## What is the value of -Rf/Rin&lt;br /&gt;
## Are these last two values the same?&lt;br /&gt;
## Switch Rf and Rin.&lt;br /&gt;
## Apply a -1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)? &lt;br /&gt;
## What is the value of -Rf/Rin (remember you switched the values of Rf and Rin)?&lt;br /&gt;
## What is the general formula for the gain of an inverting amplifier?&lt;br /&gt;
&lt;br /&gt;
==== Instrumentation and Loading ====&lt;br /&gt;
Since electronic instruments (MMs, oscilloscopes, function generators, even Opamps, etc.) are composed of resistors, capacitors, inductors, diodes, transistors, OpAmps, etc., they have characteristic net input and output impedances.&lt;br /&gt;
&lt;br /&gt;
Consider the simple voltage divider circuit shown at the right.[[File:Voltagedivider.gif|100px|right]]&lt;br /&gt;
Let Vin be 10VDC and R1 = R2 = 10MOhm. Based on your experience in section 5 above what do you think Vout should be?&lt;br /&gt;
# Construct the voltage divider.&lt;br /&gt;
## Let R1 = R2 = 1kOhms. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 10kOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 500kOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 1MOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 10MOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Plot Vout vs. R2.&lt;br /&gt;
## What do you think is going on? Remember how the MM measures voltage. &lt;br /&gt;
&lt;br /&gt;
This voltage sagging effect is the result of circuit loading. The MM bleeds off a small bit of the current and runs it through a very precise calibrated large value resistor (usually between 1MOhm and 10MOhms). When R2 is 1kOhm the MM bleeds off a very small fraction of the current that should have flowed through R2. Consequently, the measured voltage at Vout sags minimally. However, as R2 increases to values approaching the MM&#039;s &amp;quot;internal&amp;quot; resistance (or input impedance) the MM draws off larger and larger fractions of the current that should have run through R2. Consequently, the measured voltage at Vout sags substantially. &lt;br /&gt;
&lt;br /&gt;
The voltage divider and MM can be thought of as a two stage electrical device. The first stage does something and then &amp;quot;hands off&amp;quot; the result to the second stage which also does something.&lt;br /&gt;
&lt;br /&gt;
What can you say about the output impedance of a first-stage electronic device in relation to the input impedance of a second-stage electronic device?&lt;br /&gt;
&lt;br /&gt;
==== Unity Gain Non-Inverting Amplifier: The Follower or Buffer ====&lt;br /&gt;
The above consideration on instrumentation and loading naturally lead to a very useful OpAmp device. A follower (pictured at right) [[File:Follower.png|thumb|200px| The follower]] is a unity gain non-inverting amplifier. Why would anyone want this? It just reproduces what you&#039;ve already got. &lt;br /&gt;
&lt;br /&gt;
Well let&#039;s consider the follower&#039;s input and output impedances. From the second simple rule for OpAmps (see above) the input impedance (looking into the (+) OpAmp input) is &amp;quot;infinite&amp;quot; (well, very high anyway as it draws little to no current). The OpAmp&#039;s output impedance (looking from Vout to the (-) OpAmp input) is zero (or very nearly).&lt;br /&gt;
&lt;br /&gt;
So the follower has the useful properties that it&#039;s input impedance is &amp;quot;infinite&amp;quot; and it&#039;s output impedance is &amp;quot;zero&amp;quot;. This would have been a wonderful thing to have between the voltage divider stage and the MM stage in the previous section.&lt;br /&gt;
&lt;br /&gt;
# Redo the measurements of the previous section with the follower (or in this case it&#039;s maybe better to call it a buffer) in between the stages.&lt;br /&gt;
## Plot the new Vout vs. R2.&lt;br /&gt;
## Does Vout still sag with increasing R2?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== RF Circuits and PCBs ====&lt;br /&gt;
&lt;br /&gt;
* Read Chapter 1 of &#039;&#039;RF Circuit Design&#039;&#039; by Chris Boswick (on bookshelf in lab).&lt;br /&gt;
# Why do discrete-component electronic circuits behave non-ideally at RF frequencies (&amp;gt;= 10MHz).&lt;br /&gt;
# What can be done about this?&lt;br /&gt;
# Build two discrete-component RLC tank circuit on a protoboard. One at resonant a (&amp;quot;low&amp;quot;) frequency (500kHz) and one at a (&amp;quot;high&amp;quot;) resonant frequency (30 MHz).&lt;br /&gt;
## Plot the Vout vs frequency of the  low-frequency tank circuit. Does it behave as expected?&lt;br /&gt;
## Plot the Vout vs frequency of the  high-frequency tank circuit. Does it behave as expected?&lt;br /&gt;
## Explain the two previous results.&lt;br /&gt;
# Create and populate a ground-plane PCB of the high-frequency tank circuit above. &lt;br /&gt;
## Plot Vout vs. frequency. &lt;br /&gt;
## Does it behave as expected? Why?&lt;br /&gt;
[[How_To_Make_a_PCB | Read this on PCB construction]]&lt;br /&gt;
&lt;br /&gt;
==== Optoelectronics ====&lt;br /&gt;
The electronic components considered above lie completely in the realm of &amp;quot;pure&amp;quot; electronics. In addition to these &amp;quot;pure&amp;quot; electronic components there exists hybrid components that blend the characteristics of electronics and optics. These are called optoelectronic (OE) components and include photodiodes (PDs), light-emitting diodes (LEDs) and laser diodes (LDs). We won&#039;t go into detail of what these OE components are but just look at how they behave. Suffice it to say, at this point, that the PD, LED and LD are all diodes and if you understand what a diode is you&#039;ll go a long way towards understanding these OE devices.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Photodiode or photodetector:&#039;&#039;&#039; Photodiodes are very much like the diodes you encountered above with the exception that currents can be induced not only by biasing voltages but also by light (called the photo-current). Please read about photodiodes in Saleh &amp;amp; Teich&#039;s &#039;&#039;Fundamentals of Photonics&#039;&#039; sections 18.1, 18.3 and 18.4 (on bookshelf). [[File:PDsymbol.png|thumb|200px| Photodiode symbol]]&lt;br /&gt;
# Measure the &amp;quot;dark&amp;quot; forward I-V curve of Optek&#039;s [[Media:OP950.PDF| OP950]] PD (from 0-1.5V). That is, shield the PD from ambient room light while doing the measurement. &lt;br /&gt;
## Plot the dark forward I-V curve.&lt;br /&gt;
## How does it look compared to the &amp;quot;pure&amp;quot; electronic diode&#039;s forward I-V curve?&lt;br /&gt;
## At what voltage does the PD &amp;quot;turn on&amp;quot;. How does this compare with the &amp;quot;pure&amp;quot; diode&#039;s turn-on voltage?&lt;br /&gt;
## Now open up the PD to ambient room light and plot at the forward I-V curve again. Has it changed?&lt;br /&gt;
## Get a red LD module and shine laser light on the PD. Observe the forward I-V curve again. Has it changed?&lt;br /&gt;
## What can you say about the PD&#039;s I-V curve as a function of incident light power?&lt;br /&gt;
## Measure the dark reverse I-V curve of the PD between 0 and -25VDC.&lt;br /&gt;
## Open the PD to ambient light and redo the previous measurement.&lt;br /&gt;
## Shine the red laser light on the PD and repeat the measurement again.&lt;br /&gt;
## What can you say about the reverse I-V curve of the PD vs. incident light power?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Please read about light emitting diodes (LEDs) and laser diodes (LDs) in &#039;&#039;Fundamentals of Photonics&#039;&#039; sections 17.1 and 17.3.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Light Emitting Diode:&#039;&#039;&#039; [[File:Led.jpg|thumb|100px| [[File:LED_Symbol.png|thumb|100px| LED symbol]]Typical LED]]The PD above is a device that when light is incident on it a photocurrent is produced. The LED, on the other hand, is a device that when a (suitable) current is induced through it light is produced.&lt;br /&gt;
# Forward bias (positive voltages applied to the Anode) ANDOptoelectronic&#039;s [[Media:AND114-R.pdf| AND114-R]] LED between 0 and 2VDC.&lt;br /&gt;
## What happens as the voltage is increased?&lt;br /&gt;
## With a power meter measure the optical power as a function of forward current and plot.&lt;br /&gt;
## Are there distinct regimes of optical power output?&lt;br /&gt;
## With a spectrometer measure the optical power as a function of wavelength.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Laser diode:&#039;&#039;&#039; Laser diodes are similar to LEDs but in addition have optical feedback. Without going into detail, this [[File:LD.jpg|thumb|Typical LD|right|100px]]feedback greatly improves the optical characteristics of the LD (think of the difference between a flashlight and a laser pointer). &lt;br /&gt;
&lt;br /&gt;
[[Media:Lasers_en.jar | Download and run this laser simulation applet - Try to get the system to lase]]&lt;br /&gt;
&lt;br /&gt;
LEDs are fairly robust devices. You can mistreat them, within reason, and they&#039;ll still function (at least to some degree). LDs, on the other hand, are easily destroyed or damaged. &amp;lt;br&amp;gt;&lt;br /&gt;
* Static Electricity: The static electricity generated by walking across a carpet can (and usually does) destroy them. &lt;br /&gt;
* Reverse Bias Voltages: LDs (and LEDs too) are meant to operate in forward bias only. As such, they can be destroyed by applying too high a reverse bias to them (this reverse bias damage value is usually spec&#039;d). &lt;br /&gt;
* Rapid Current Changes: Abruptly cutting off (or turning on) a LD driving current can (and usually does) destroy the LD.&lt;br /&gt;
* Putting too much current through the LD (again, this usually does destroy the LD).&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
For all these reasons LD are usually operated within a protective circuit (see right).[[File:CCcircuit.png|thumb|400px|LD Constant Current (CC) Circuit]]&lt;br /&gt;
&lt;br /&gt;
There are two components you haven&#039;t seen yet. The [[Media:LM317.pdf|LM317 ]] and the square blue component (the pot) connected to the middle pin of the LM317. A pot or potentiometer is a variable resistor. It&#039;s got a knob or screw that can be turned to adjust its resistance.&lt;br /&gt;
&lt;br /&gt;
Let&#039;s discuss the parts of this circuit and what they do to help protect and operate the LD. The LM317 is a voltage regulator. The pot allows for adjusting the LD current and the resistors act to limit the maximum current. The &amp;quot;pure&amp;quot; electronic diode clamps any reverse biases (accidentally applied) to ~ 0.6V (which is below the reverse bias damage value). The capacitor suppresses static discharges or voltage transients and slows the LD turn-on/turn-off behaviour.&lt;br /&gt;
&lt;br /&gt;
In addition to the LD protection circuit always wear an [[Media:Antistaticwb.jpg|antistatic wrist band ]] when handling LDs. &lt;br /&gt;
&lt;br /&gt;
Also, it&#039;s always best to test your CC circuit with an LED first (LED is more robust - and cheaper) before trying it with the LD. &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The LD we&#039;ll use is LiteOn&#039;s [[Media:LTLD505T.pdf| LTLD505T]]. It has a center wavelength around 650nm, 5mW optical power, turn-on (or threshold) current around 35mA, operating current 45mA, operating voltage around 2.4V, max operating voltage 2.6V and max reverse voltage of  &lt;br /&gt;
2V.&lt;br /&gt;
&lt;br /&gt;
# Put together this LD CC circuit with V(-) at ground, V(+) at 7VDC, a 1K pot, , R = 30 Ohms, C = 10&amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f and a  P6KE6.8 diode (oriented the correct way).&lt;br /&gt;
## Test the CC circuit with an LED (cathode grounded).&lt;br /&gt;
## Does the circuit light up the LED? If yes, proceed. If not, troubleshoot the circuit.&lt;br /&gt;
## Replace the LED with the LD (remember to wear the antistatic wrist band).&lt;br /&gt;
## Does the circuit light up the LD? Is yes, proceed. If not, troubleshoot.&lt;br /&gt;
## With the power meter measure the optical power vs. LD current. What&#039;s the turn-on current? Is it close to the LD&#039;s spec&#039;d threshold current?&lt;br /&gt;
## What is the optical power at the operating current?&lt;br /&gt;
## Are there distinct optical regimes?&lt;br /&gt;
## How does the LD&#039;s threshold current relate to these regimes?&lt;br /&gt;
## With a spectrometer measure and plot the optical power vs. wavelength for currents just below threshold and well above threshold.&lt;br /&gt;
## Are these plots similar? Explain.&amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt;&lt;br /&gt;
* Submit a write-up outlining your activities, results and the answers to all the questions asked above.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE&#039;&#039;&#039;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:Diode_Clamp.png&amp;diff=3652</id>
		<title>File:Diode Clamp.png</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:Diode_Clamp.png&amp;diff=3652"/>
		<updated>2023-11-30T19:56:42Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Electrical Setup&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Optics_Obstacle_Course&amp;diff=3651</id>
		<title>Optics Obstacle Course</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Optics_Obstacle_Course&amp;diff=3651"/>
		<updated>2023-11-28T22:36:48Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Activities */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Permanent Materials (located on optical breadboard or in storage cabinet): == &lt;br /&gt;
[[File:OOC.jpg|600px |right ]]&lt;br /&gt;
- Optics cleaning materials&amp;lt;br&amp;gt;&lt;br /&gt;
- Helium Neon laser &amp;lt;br&amp;gt;&lt;br /&gt;
- 4 mirrors &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:Lenskit1.jpg | Telescope lens pair (Newport KPX.097 and KPX.085)]]&amp;lt;br&amp;gt;&lt;br /&gt;
- 3 irises and a pinhole&amp;lt;br&amp;gt;&lt;br /&gt;
- Quarter waveplate @633&amp;lt;br&amp;gt;&lt;br /&gt;
- Half waveplate @ 633&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:CM1-BS013.pdf | Non-Polarizing Beam Cube]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:QryYg.jpg | Polarizing Beam Cube]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DET110-SpecSheet.pdf |Thorlabs DET 110 photodetector]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DET10A-Manual.pdf | Thorlabs DET 10A photodetector]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DET210-SpecSheet.pdf | Thorlabs DET 210 photodetector]]&amp;lt;br&amp;gt;&lt;br /&gt;
- Various optomechanics (mirror mounts, lens holders, baseplates, etc)&amp;lt;br&amp;gt;&lt;br /&gt;
- Beam block/alignment tools&amp;lt;br&amp;gt;&lt;br /&gt;
- Hecht &#039;&#039;Optics&#039;&#039; book&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Materials to borrow when necessary ===&lt;br /&gt;
- Oscilloscope&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:SRS_CHopper.jpg | Chopper]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:Powermeters.png | Power meter]]&amp;lt;br&amp;gt;&lt;br /&gt;
- Extra optics as needed&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Activities ===&lt;br /&gt;
You should have the necessary tools at your disposal to complete the following. Instructions are intentionally a bit sparse to encourage thoughtful exploration of the system. The left-hand-side of the optical breadboard is permanent storage for the optics (leave the bases and post holders where they are), and the right-hand-side contains optomechanics you can use in positioning elements in the &#039;sandbox&#039; area.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Make sure that all the optical components (waveplates, beamcubes, etc.) are designed to work at your laser&#039;s wavelength. &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE&#039;&#039;&#039; &amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt; &lt;br /&gt;
Keep a journal of your activities, results and answers to any questions asked in the activities below. You will use this for your brief write-up. If any step in the activities below is unclear or you do not completely understand something ask the instructor or TAs for help &#039;&#039;&#039;before moving on&#039;&#039;&#039;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Read laser safety, optics common sense, optics hardware info (pages 1-19 of the ebook &amp;quot;&#039;&#039;Laboratory Optics - A Practical Guide To working in an Optics Lab&#039;&#039;&amp;quot;).&amp;lt;br&amp;gt; Throughout this exercise, please make an effort to never allow the laser or any reflection/retroreflection leave the boundary of the optical table&lt;br /&gt;
# &#039;&#039;&#039;Very Important: Get a demonstration/lecture from the instructor or TAs on the proper handling and cleaning of optics. Do not proceed until this is done.&#039;&#039;&#039;&lt;br /&gt;
# Read pages 20-31 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Read about polarization in the Hecht &#039;&#039;Optics&#039;&#039; book. [[Media:Optics_polarizer.jar | Download and run this applet to explore polarizers]]. Use two mirrors to set the beam height to a level 4” above optical table.  Is the light polarized? If not, polarize it, aligning the axis of polarization vertically. &lt;br /&gt;
# Read about Brewster&#039;s angle in Hecht. [[Media:Waves_brewster.jar | Download and run this applet to explore Brewster&#039;s angle.]]&lt;br /&gt;
# Use a glass microscope cover slip on a rotation stage and the laser horizontally polarized to measure Brewster&#039;s angle (based on power and/or polarization measurements). From the measured Brewster&#039;s angle calculate the cover slip&#039;s index of refraction. Calculate the Brewster&#039;s angle assuming a glass index of refraction of 1.5. Does your measured Brewster&#039;s angle agree?&lt;br /&gt;
# Read sections 3.1-3.5 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Use mirrors to pass beam through two irises (or two beam alignment cards), aligned along a row of holes on the table. &amp;lt;br&amp;gt;You now have a level beam with set polarization that is pointing in a known direction. This is an appropriately initialized optical setup. &lt;br /&gt;
# Read sections 4.1-4.3 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Measure the power of the beam using two techniques: a power meter; and the Thorlabs photodetector and an oscilloscope (for this second method, you&#039;ll need to look up the responsivity curve on the detector datasheet). These two measurements should be in reasonable agreement. If they&#039;re not consult with the instructor or TAs for help. Make sure you&#039;re operating the power meter correctly. That is, use the correct power-meter detector head for your wavelength and set the power meter to your specific wavelength. Also make sure you&#039;re using an appropriate (electrical) power supply (rated at the correct voltage/current) for the power meter.&lt;br /&gt;
## If the photodetector appears to be saturating (detector&#039;s output voltage at spec&#039;d maximum), you will need to use neutral density filters to reduce the power.&lt;br /&gt;
## For insight to what the numbers on the filters mean, measure the Optical Density (OD) of the blue laser goggles at the HeNe wavelength &amp;lt;br&amp;gt;&amp;lt;math&amp;gt;P_{out}=P_{in}\,10^{-OD}&amp;lt;/math&amp;gt;&lt;br /&gt;
Read about half and quarter waveplates (also called retarders in Hecht&#039;s &#039;&#039;Optics&#039;&#039;) before doing the following:&lt;br /&gt;
[[Media:Em wave polarization simulation.jar | Download and run this optical polarization applet.]] Try to create circular and elliptical polarization. If you have trouble ask the instructor to help.&amp;lt;br&amp;gt;&lt;br /&gt;
## How does vertically polarized light interact with the polarizing beamsplitter cube? Use the half waveplate to rotate the axis of polarization to be horizontal. Now what happens with the cube? Finally, rotate the axis of polarization to be 45 degrees from vertical&lt;br /&gt;
##Align the axis of the quarter waveplate so that the beam is circularly polarized. How do you know it’s circular and not elliptical?&lt;br /&gt;
#Build a 1:2 telescope to expand the beam&lt;br /&gt;
# Use a 200 micron pinhole, the photodiode and a translation stage (scan the beam in the transverse direction) to measure the 1/e width of the collimated laser beam. See here for info on using translation stages - https://june.uoregon.edu/mediawiki/index.php/How_to_Read_a_Micrometer.&lt;br /&gt;
## Draw a simple ray diagram to estimate the magnification you expect for the two supplied lenses&lt;br /&gt;
## Be sure to position the lenses so the beam is centered (hint: you should do this by observing the output beam location, not merely by eyeballing where the beam hits the lens)&lt;br /&gt;
## Ensure collimation after second lens. Does the magnification match your prediction?&lt;br /&gt;
# Place a (suitably chosen - ask instructor) pinhole at the focus of the telescope. Read about Gaussian Laserbeams in &#039;&#039;Hecht&#039;&#039; pages 617 to 619. Pay especial attention to the concepts of spot size and Rayleigh range. What is the spot size (take measurements)? What is the Rayleigh range (take measurements)?&lt;br /&gt;
# Focus light onto a small (silicon) photodiode (e.g., Thorlabs DET 10A). Use a chopper in between a two-lens telescope and an oscilloscope to measure the [https://en.wikipedia.org/wiki/Rise_time rise time] of the small diode. Do the rise time measurement again with a larger (silicon) photodiode (e.g., Thorlabs DET 110). Compare the two measured rise times. Are they different? Can you explain? Note: When using the chopper, use a short focal length converging lens to focus the beam (to a small spot) in the plane of the chopper and another lens to re-collimate the beam after the chopper. If this doesn&#039;t make sense ask the TA or instructor to explain.&lt;br /&gt;
# Use a polarizer and a quarter waveplate to create a &amp;quot;[https://www.rp-photonics.com/spotlight_2010_06_09.html poor man&#039;s]&amp;quot; optical isolator. Why would this be useful?&lt;br /&gt;
# Use a polarizing beamsplitter and a quarter waveplate to make a (slightly) better optical isolator.&lt;br /&gt;
# Discuss the drawbacks of the previous two types of isolators. Read about an even better type of [https://www.rp-photonics.com/faraday_isolators.html isolator] that employs a Faraday rotator.&lt;br /&gt;
# Use a mini fiber-coupled spectrometer to obtain the center wavelength and an upper bound on the linewidth of the laser. Have a discussion with the TA or instructor about the concept of linewidth.&lt;br /&gt;
# Read sections 5.1-5.4 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Read about a Michelson interferometer in Hecht &#039;&#039;Optics&#039;&#039;. [[Interferometers | See this page for more infomation]]. Build a Michelson interferometer (with a non-polarizing beamsplitter) and measure the laser wavelength. Now use the Michelson to measure the index of refraction of 1) a glass microscope slide and 2) an unknown optical material (ask instructor). (Leave the Michelson set up for next activity)&lt;br /&gt;
# Read about coherence theory in Hecht&#039;s &#039;&#039;Optics&#039;&#039; Chpts 12.1, 12.2 and 12.3. Measure the laser&#039;s coherence length (ask instructor or TA for help).&lt;br /&gt;
# Fabry-Perot (FP) cavities: Read about FP cavities in &#039;&#039;Hecht&#039;&#039; sections 9.6 and 9.6.1. Pay attention to the concepts of Finesse, Free Spectral Range (FSR) and Resolution.&lt;br /&gt;
## Use the [http://www.gwoptics.org/finesse/ &#039;&#039;Finesse/Luxor&#039;&#039;] software package (already downloaded and located in the user&#039;s home directory on lab computer &#039;&#039;hank&#039;&#039; - run Luxor.jar in the FinesseLuxor directory) to simulate a FP cavity. Explore how the cavity Finesse, FSR and Resolution depend upon the mirror reflectivity and mirror spacing.&lt;br /&gt;
## Assume the cavity mirrors are planar with a power (not amplitude) reflectivity of 90% (R = 0.9). Calculate the cavity finesse assuming an on-axis light beam.&lt;br /&gt;
## Construct a plane-mirror Fabry-Perot with a Free Spectral Range (FSR) of 500MHz and a Finesse &amp;gt;= 20. What is the cavity resolution?&lt;br /&gt;
## Construct a plane-mirror Fabry-Perot with a Free Spectral Range (FSR) of 1 GHz and a Finesse &amp;gt;= 20. What is the cavity resolution?&lt;br /&gt;
## Is the finesse of your cavity equal to the calculated finesse? If not, why?&lt;br /&gt;
## What are the practical limits on the achievable finesse? In other words, what is the limit of achievable cavity resolution?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
#Aberrations: Read &#039;&#039;Hecht&#039;&#039; Chpt 5.1, 5.2, 5.2.1, 5.2.2, 6.3.1, 6.3.2, (stopping at page 272). Pay especial attention to the concepts of &amp;quot;diffraction-limited&amp;quot;, &amp;quot;aspherical surfaces&amp;quot;, &amp;quot;spherical surfaces&amp;quot;, &amp;quot;optical axis&amp;quot;, &amp;quot;aberrations&amp;quot;, &amp;quot;paraxial rays&amp;quot;, &amp;quot;Gaussian optics&amp;quot;, &amp;quot;Seidel aberrations&amp;quot;, &amp;quot;spherical aberration&amp;quot;, &amp;quot;circle of least confusion&amp;quot;, &amp;quot;coma&amp;quot;, &amp;quot;astigmatism&amp;quot;, &amp;quot;field curvature&amp;quot;, &amp;quot;distortion&amp;quot;, &amp;quot;chromatic aberrations&amp;quot;.&lt;br /&gt;
## What type of lens surface will take all rays falling on its surface and focus them to the same point?&lt;br /&gt;
## How can a spherical lens be used so that the Seidal aberrations are minimal?&lt;br /&gt;
## [[Media:spherab.cdf | Download and run this Optica-based CDF file to demonstrate the effects of spherical aberration.]]&lt;br /&gt;
## [[Media:Seidel_Aberrations.nb | Download and run this &#039;&#039;Optica&#039;&#039; notebook (detailing Seidel aberrations in &#039;&#039;Mathematica&#039;&#039; on lab computer hank)]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
- Debrief with the instructor concerning your efforts, observations and measurements of the obstacle course.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
After you finish, please return items to the storage location and clear the &#039;sandbox&#039; area.&amp;lt;br&amp;gt;&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE&#039;&#039;&#039;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Read_a_Micrometer&amp;diff=3650</id>
		<title>How to Read a Micrometer</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Read_a_Micrometer&amp;diff=3650"/>
		<updated>2023-11-28T22:32:36Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:How to Read a Micrometer.png|800px|left|thumb | Newport SM25 Vernier Micrometer]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Read_a_Micrometer&amp;diff=3649</id>
		<title>How to Read a Micrometer</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Read_a_Micrometer&amp;diff=3649"/>
		<updated>2023-11-28T22:30:51Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:How to Read a Micrometer.png|800px|left|thumb | Newport SM25 Micrometer Screw]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Read_a_Micrometer&amp;diff=3648</id>
		<title>How to Read a Micrometer</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Read_a_Micrometer&amp;diff=3648"/>
		<updated>2023-11-28T22:24:55Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: Created page with &amp;quot;left&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:How to Read a Micrometer.png|800px|left]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:How_to_Read_a_Micrometer.png&amp;diff=3647</id>
		<title>File:How to Read a Micrometer.png</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:How_to_Read_a_Micrometer.png&amp;diff=3647"/>
		<updated>2023-11-28T22:22:03Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3646</id>
		<title>APL wiki:Community portal</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3646"/>
		<updated>2023-11-28T22:21:29Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Projects and Modules */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to the University of Oregon, Department of Physics, Advanced Projects Lab&#039;s Wiki.&lt;br /&gt;
&lt;br /&gt;
To see our main website visit [http://june.uoregon.edu Advanced Projects Lab].&lt;br /&gt;
&lt;br /&gt;
== Projects and Modules ==&lt;br /&gt;
[[File:APL.jpg|650px|right]]&lt;br /&gt;
[[Advanced Projects]]&lt;br /&gt;
&lt;br /&gt;
[[Teaching Modules]]&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[General Lab Equipment Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Basic Machining Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Fiber-Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Digital-Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Make and Test a Semiconductor Device]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Permittivity and Permeability of Materials Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Vacuum Technology Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Scientific Python Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[LabVIEW Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Media:Taking,_Storing,_Transferring_and_Presenting_Data.pdf| Taking, Storing and Presenting Data]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Make a Printed Circuit Board (PCB)]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Test Transistors and FETs]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Operating Fusion Splicers and Preparing the Fiber]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Coat Optical Fibers]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Read a Micrometer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Useful Links: ===&lt;br /&gt;
&lt;br /&gt;
[http://www.rp-photonics.com/encyclopedia.html RP Photonics Encyclopedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.newport.com/Tutorials/979935/1033/content.aspx Newport Tutorials]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== LaTeX Help: ===&lt;br /&gt;
&lt;br /&gt;
[[Working with TeX Equations]]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/LaTeX LaTeX - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[[Media:Lshort.pdf |The Not So Short Introduction to LATEX]]&lt;br /&gt;
&lt;br /&gt;
=== Wiki Markup Help: ===&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Cheatsheet Help:Cheatsheet] &lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Wiki_markup Help:Wiki markup]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Wikipedia:Extended_image_syntax Wikipedia:Extended image syntax]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Help:Tables Help: Tables]&lt;br /&gt;
&lt;br /&gt;
=== CDF (Computable Document Format) Help: ===&lt;br /&gt;
&#039;&#039;(Note - The Wolfram CDF player for Linux currently doesn&#039;t support the browser plugin)&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[http://www.wolfram.com/cdf-player/  Get the Wolfram CDF Player]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Computable_Document_Format CDF - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Extension:WolframCDF#Usage How to include CDF files on wiki pages]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Electronics_Obstacle_Course&amp;diff=3645</id>
		<title>Electronics Obstacle Course</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Electronics_Obstacle_Course&amp;diff=3645"/>
		<updated>2023-05-05T17:22:29Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Optoelectronics */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Permanent Materials (located in the electronics area): ==&lt;br /&gt;
[[File:Electronic_station.jpg|right|500px]]&lt;br /&gt;
- power supplies  &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DG1022.pdf|function generators]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DS1102E.pdf|oscilloscopes ]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:Fluke_179.pdf| Fluke 179 multimeter (MM)]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:CX-920A.pdf| capacitance meter]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:PB-505.pdf|electronic proto-boards]]&amp;lt;br&amp;gt;&lt;br /&gt;
- wire, resistors, capacitors, inductors, diodes, Op-Amps, other ICs&amp;lt;br&amp;gt;&lt;br /&gt;
- photodiodes (PDs), light-emitting diodes (LEDs), laser diodes (LDs)&amp;lt;br&amp;gt;&lt;br /&gt;
- soldering equipment and supplies&lt;br /&gt;
&lt;br /&gt;
=== Materials to borrow when necessary ===&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;The Art of Electronics (AoE)- 3rd Edition&#039;&#039;, Horowitz &amp;amp; Hill&amp;lt;br&amp;gt;&lt;br /&gt;
- inductance meter&amp;lt;br&amp;gt;&lt;br /&gt;
- voltage supply&lt;br /&gt;
- Red LD module&lt;br /&gt;
- Optical power meter&lt;br /&gt;
- Spectrometer&lt;br /&gt;
&lt;br /&gt;
[[File:Symbols.png|frame|right|Electronic Component Symbols|200px]]&lt;br /&gt;
&lt;br /&gt;
=== Activities ===&lt;br /&gt;
&lt;br /&gt;
* If you have zero electronic training or experience read chapters 1-6 of Keith Brindley&#039;s eBook &#039;&#039;Starting Electronics&#039;&#039;.&lt;br /&gt;
* If you have a little experience with electronics proceed and consult &#039;&#039;Starting Electronics&#039;&#039; or &#039;&#039;The Art of Electronics&#039;&#039; as needed.&amp;lt;br&amp;gt;&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE - PUT BACK ELECTRONIC COMPONENTS IN APPROPRIATE PLACES AFTER EACH ACTIVITY&#039;&#039;&#039; &lt;br /&gt;
* Keep a journal of your activities, results and answers to any questions asked in the activities below. You will use this for your write-up. &lt;br /&gt;
&lt;br /&gt;
==== Resistor &amp;amp; Capacitor Basics ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 1 of AoE.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
[[File:Fluke_179.jpg|right|100px| thumb| multimeter]]&lt;br /&gt;
# With a MM measure the resistance of five 100 Ohm resistors. Do they fall within the specified tolerance?&lt;br /&gt;
## What is resistance? Can you provide an analogy based on water flowing through pipes?&lt;br /&gt;
## Describe physically a resistor.&lt;br /&gt;
## Is energy stored in a resistor or dissipated as heat? Can you provide an explanation of the basic physical processes?&lt;br /&gt;
## What is the resistance of two 100 Ohm resistors in series? How do resistors in series add?&lt;br /&gt;
## What is the resistance of two 100 Ohm resistors in parallel? How do resistors in parallel add?&lt;br /&gt;
## How might the MM measure the resistance? &lt;br /&gt;
## What can you say about the &amp;quot;internal&amp;quot; resistance of the MM in resistance measurement mode?[[File:Pb-505.jpg|right|100px|thumb|proto-board]]&lt;br /&gt;
## Using a proto-board and one of the 100 Ohm resistors put 2.5VDC &#039;&#039;&#039;across&#039;&#039;&#039; the resistor. Calculate the current. Use the MM in ammeter mode to measure the current. Are the calculated and measured values close? Does the power applied to the resistor fall within the power rating of the resistor? What is power? What could happen if you applied too much power to the resistor?&lt;br /&gt;
## What is current?&lt;br /&gt;
## How might the MM measure current?&lt;br /&gt;
## What can you say about the &amp;quot;internal&amp;quot; resistance of the ammeter used in the measurement of the current?&lt;br /&gt;
## How do the MM wire leads effect these measurements?&lt;br /&gt;
## Could you measure the resistance of a 1cm length of copper wire with the MM? Why?&lt;br /&gt;
# Put 150mA of DC current &#039;&#039;&#039;through&#039;&#039;&#039; a 10 Ohm resistor. &lt;br /&gt;
## What power is being applied to the resistor? Calculate the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the resistor. With the MM measure the voltage across the resistor. Are these values close?&lt;br /&gt;
##What is voltage?&lt;br /&gt;
## How might the MM measure a voltage?&lt;br /&gt;
## What can you say about the MM&#039;s &amp;quot;internal&amp;quot; resistance when it measures a voltage?&lt;br /&gt;
# With a function generator put a 5VAC (peak-to-peak) sinusoidal voltage at frequencies of 50, 500 and 1000 Hz &#039;&#039;&#039;across&#039;&#039;&#039; a ~ 5k Ohm resistor.&lt;br /&gt;
## Using the MM in voltage mode measure the AC voltage. Does it vary with frequency?&lt;br /&gt;
## Using the MM in current mode measure the AC current. Does it vary with frequency?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Measure the capacitance of five 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f unpolarized capacitors. Do they fall within the specified tolerance?&lt;br /&gt;
## What is capacitance? Describe physically a very simple capacitor.&lt;br /&gt;
## How is energy stored in a capacitor?&lt;br /&gt;
## What is the difference between unpolarized and polarized capacitors?&lt;br /&gt;
## What is the capacitance of two 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitors in series? How do capacitors in series add?&lt;br /&gt;
## What is the capacitance of two 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitors in parallel? How do capacitors in parallel add?&lt;br /&gt;
## How might the capacitance meter measure the capacitance?&lt;br /&gt;
## Using a proto-board apply 2.5VDC &#039;&#039;&#039;across&#039;&#039;&#039; an 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor and 100 Ohm resistor in series. Using a MM measure the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the entire capacitor + resistor series network. Measure the voltage across the capacitor only. Measure the voltage across the resistor only. Explain the measured voltage across the resistor.&lt;br /&gt;
## Now apply a 2.5VAC sinusoidal voltage &#039;&#039;&#039;across&#039;&#039;&#039; the capacitor + resistor network at 50, 500 and 1000 Hz.&lt;br /&gt;
## What&#039;s the voltage across the resistor for 50, 500 and 1000Hz?&lt;br /&gt;
## What&#039;s the voltage across the capacitor for 50, 500 and 1000Hz?&lt;br /&gt;
## How does the voltage across the capacitor as a function of frequency compare to the voltage across a resistor as a function of frequency?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt; [[File:Voltagedivider.gif|right|100px]]&lt;br /&gt;
# Build a network of two (possibly different valued) resistors that takes an input voltage of 5VDC and produces an output voltage at 2.5VDC.&lt;br /&gt;
# Build a network of two (possibly different valued) resistors that takes an input voltage of 5VDC and produces an output voltage at 1.25VDC.&lt;br /&gt;
# Build a network of an &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor and a 100 Ohm resistor in series.&lt;br /&gt;
## Apply a 1VAC sinusoidal (input) signal to the capacitor at 100, 1000, 5000, 10000, 15000, 20000, 25000 and 50000 Hz and measure the (output) voltage between the capacitor and the resistor for each frequency.&lt;br /&gt;
## Plot as a function of frequency. What can you say about the frequency dependence of the ratio of output to input voltage?&lt;br /&gt;
## You&#039;ve just built three very useful circuits called voltage dividers. Would a voltage divider containing only resistors work for AC voltages? If you&#039;re unsure, try it. Would a voltage divider containing at least one capacitor work for DC voltages? Again, if you&#039;re unsure, try it.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Now, apply a 1V 10Hz square pulse to a 500 Ohm resistor and an 10 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor in series.&lt;br /&gt;
## Using an oscilloscope measure the voltage across the capacitor. (You&#039;ll need to use the oscilloscope&#039;s front-panel controls to get the waveform on the screen and get the triggering to work)&lt;br /&gt;
## Are the leading and trailing edges of the pulse similar? Why?&lt;br /&gt;
## What is the &amp;quot;rise time&amp;quot; of the leading edge (10% to 90%)?&lt;br /&gt;
## What is the &amp;quot;fall time&amp;quot; of the trailing edge (10% to 90%)?&lt;br /&gt;
## What is the time it takes for the trailing edge to fall to 1/e of its initial value?&lt;br /&gt;
## What is the value of the resistance multiplied by the capacitance?&lt;br /&gt;
## Repeat the above measurements with a 1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor instead of the 10 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor.&lt;br /&gt;
## Are the rise and fall times faster or slower?&lt;br /&gt;
## What can you say about the rise time as a function of capacitance?&lt;br /&gt;
# Next let&#039;s use resistors and a capacitors to build one frequency-low-pass circuit and one frequency-high-pass circuit.[[File:LPF.png|right|75px]]&lt;br /&gt;
## Use what you&#039;ve learned about the AC and DC responses of capacitors and resistors to put together a resistor + capacitor network that blocks DC current, strongly attenuates low frequencies but passes high frequencies (hint: recall the voltage divider  of 7 above).[[File:HPF.png|right|75px]]&lt;br /&gt;
## Determine the circuit&#039;s 3dB point.&lt;br /&gt;
## Put together a resistor + capacitor network that passes DC current and low frequencies but strongly attenuates high frequencies.&lt;br /&gt;
## Determine the circuit&#039;s 3dB point.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Inductor Basics ====&lt;br /&gt;
[[File:Inductor_symbol.png|thumb|100px|right|Inductor Symbol- L]]&lt;br /&gt;
# Measure the inductance of five 1mH inductors. Estimate their tolerance (5%, 10%, 15% or 20%).&lt;br /&gt;
## What is inductance? Describe physically a very simple inductor.&lt;br /&gt;
## How is energy stored in an inductor?&lt;br /&gt;
## What is the inductance of two 1mH inductors in series? How do inductors add in series?&lt;br /&gt;
## What is the inductance of two 1mH inductors in parallel? How do inductors add in parallel?&lt;br /&gt;
## Do inductors add like resistors or capacitors?&lt;br /&gt;
## How does the inductance meter measure inductance?&amp;lt;br&amp;gt;&lt;br /&gt;
# Using a proto-board apply 1VDC &#039;&#039;&#039;across&#039;&#039;&#039; a 1mH inductor and 500 Ohm resistor in series. Using a MM measure the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the entire inductor + resistor series network. What is the inductors &amp;quot;resistance&amp;quot; in this situation?&lt;br /&gt;
# Put a 1VAC sinusoidal signal across the inductor + resistor network at 50, 500, 2kHz, 5kHz and 10kHz, 25kHz, 50000, 250kHz and 1Mhz.&lt;br /&gt;
## At each frequency measure the voltage across the inductor only. Measure the voltage across the resistor only. Explain the measured voltage across the resistor in terms of how the inductor behaves with frequency.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
==== Resonant circuits ====&lt;br /&gt;
[[File:LR_Bandpass_filter.jpg|thumb|right|LC resonant circuit - bandpass filter|150px]]&lt;br /&gt;
# Construct the circuit shown at the right using a 500 Ohm resistor, 1mH inductor and a 10uf capacitor.&lt;br /&gt;
## Apply a 1VAC sinusoidal input voltage at frequencies between 10 and 6200Hz and &#039;&#039;&#039;plot&#039;&#039;&#039; the output voltage as a function of frequency.&lt;br /&gt;
## At what frequency is the response of the circuit maximum?&lt;br /&gt;
## Use QUCS or LTSpice to simulate this circuit. These software programs are on the lab desktop computers (or you can put them on your own laptop. You can find information on the programs in these links [http://qucs.sourceforge.net/ QUCS] and [http://www.analog.com/en/design-center/design-tools-and-calculators/ltspice-simulator.html LTSpice]. Consult with the instructor or TA concerning how to do this and what the results should look like.&lt;br /&gt;
## Explain the response of this circuit based on what you&#039;ve learned about capacitors and inductors.&lt;br /&gt;
## When would a circuit with a response like this be useful?&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Impedance and Reactance ====&lt;br /&gt;
Impedance is resistance generalized. A resistor resists (dissipates power) but does not change the waveform (square wave in square wave out). Capacitors and inductors (since they store energy) can react and cause changes in the waveform (see section 8 above). &lt;br /&gt;
&lt;br /&gt;
The concept of impedance includes resistance and reactance effects. That is, &#039;&#039;&#039;Impedance = Resistance + Reactance&#039;&#039;&#039;. All the frequency dependence is contained within the reactance. For ideal capacitors and inductors their resistance is zero (not the case in real life). An ideal resistor is a purely resistive component and has no reactance (again, not the case in real life). &lt;br /&gt;
&lt;br /&gt;
We can use the word &amp;quot;impedance&amp;quot; in general. When we say something like, &amp;quot;What&#039;s the resistor&#039;s impedance&amp;quot;, we are referring to the resistance term of the resistor&#039;s impedance equation. When we say something like, &amp;quot;What&#039;s the impedance of the capacitor&amp;quot;, we are referring to the reactance term of the capacitor&#039;s impedance equation. &lt;br /&gt;
# Think back to the previous exercises. &lt;br /&gt;
## What is the frequency dependence of a capacitor&#039;s impedance?&lt;br /&gt;
## What is the frequency dependance of an inductors impedance?&lt;br /&gt;
&lt;br /&gt;
==== Diodes ====&lt;br /&gt;
For the electronic components considered above (resistor, capacitor, inductor) it doesn&#039;t matter which way you put them into a circuit - they are non-directional. That is, you can flip their leads and the circuit will behave the same. For diodes this is not the case. Diodes are directional and it matters which way they are oriented in a circuit. Diodes are physically more complicated than the components treated above so we won&#039;t go into an explanation of just what a diode is now. Here, we&#039;ll only consider how diodes behave. &amp;lt;br&amp;gt; &amp;lt;br&amp;gt;For a more detailed study of diodes and transistors you may read Sze&#039;s &#039;&#039;Semiconductor Physics&#039;&#039; (on bookshelf): All of chapter 1, sections 2.1, 2.2, 2.3 for basic semiconductor background and sections 3.1, 3.2, 3.3, 3.4 for diodes and PN junctions and section 4.1 for transistor action.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Semiconductor_en.jar |Download and run this PN junction applet]]. By adjusting the bias voltage show that the diode conducts only under forward bias. &lt;br /&gt;
&lt;br /&gt;
[[File:Diodecathan.png|right|Diode]]&lt;br /&gt;
# Put a (6V) Zener Diode in series with a MM in ammeter mode and ground the anode. &lt;br /&gt;
## Apply 0.7VDC to the cathode and measure the current through the diode.&lt;br /&gt;
## Now ground the cathode and apply 0.7VDC to the anode and measure the current through the diode.&lt;br /&gt;
## Are the currents the same? &lt;br /&gt;
# With the cathode grounded apply voltages from 0-1.5 VDC to the anode in 0.1 V increments and plot the result. This is the forward I-V curve for the diode. The diode is said to be &amp;quot;forward biased&amp;quot; in this situation.&lt;br /&gt;
## There should be a &amp;quot;knee&amp;quot; in this curve where the diode &amp;quot;turns on&amp;quot; or conducts. About what voltage is this?&lt;br /&gt;
# Using a (current limited) voltage supply, apply voltages from 0-10VDC to the cathode (anode grounded) and plot the result. This is the reverse I-V curve for the diode. The diode is said to be &amp;quot;reverse biased&amp;quot; in this situation. &lt;br /&gt;
## There should be a &amp;quot;knee&amp;quot; in this curve too where the diode starts to conduct in the reverse direction. About what voltage is this?&lt;br /&gt;
## Are the forward and reverse &amp;quot;turn on&amp;quot; voltages symmetric about 0V?&lt;br /&gt;
# Construct the diode clamp circuit shown at the right.[[File:Diode_clamp.jpg|thumb| Diode Clamp|100px]]&lt;br /&gt;
## Apply input voltages from 0-10VDC and plot the output voltage vs. input voltage.&lt;br /&gt;
## Does the diode clamp earn its name?&lt;br /&gt;
## Can you explain the maximum output voltage?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Employ an AC voltage divider with a resistor and the P6KE6.8 to measure the diode&#039;s capacitance as a function of bias voltage. [[File:Voltage_Divider.png|100px|right]]This diode capacitance issue will play a role later on when we encounter optoelectronic devices. In the AC voltage divider shown at the right the C indicates the capacitance of the diode. That is, don&#039;t put a capacitor where &amp;quot;C&amp;quot; is but the P6KE6.8 diode with its cathode grounded. Apply a 20mV AC sinusoidal signal with varying (positive to the anode) DC offsets (larger than 20mV) to the input. The DC offset is the diode&#039;s bias voltage. Look for amplitude changes to the AC signal at the output. With the voltage divider formula and the formula for the impedance of a capacitor you should be able to plot the diodes capacitance Cd as a function of bias voltage (the DC offset).&lt;br /&gt;
## Does the diode&#039;s capacitance decrease of increase with positive bias voltages?&lt;br /&gt;
## Is there a limiting behaviour? If so, can you explain it?&lt;br /&gt;
## Now measure the diode&#039;s capacitance for reverse biases from 0 to 25VDC (positive to the cathode).&lt;br /&gt;
## Does the diode&#039;s capacitance change much for reverse bias voltages?&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Bridge Circuits ====&lt;br /&gt;
This section under construction...&lt;br /&gt;
&lt;br /&gt;
==== Transistors ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 2.1, 2.1.1, 2.2.1 and 2.2.3 concerning bipolar transistors in AoE&lt;br /&gt;
[[File:Bipolar-junction-transistors.jpg|thumb|right| Transistors|100px]]&lt;br /&gt;
All the components (even diodes) examined above are considered &amp;quot;passive&amp;quot; components. That is, they can&#039;t supply energy. Transistors are considered &amp;quot;active&amp;quot; in the sense that they can supply energy (or amplify). Like diodes, transistors are physically more complicated than resistors, capacitors and inductors and we won&#039;t go into detail about just what they are. Instead we&#039;ll focus on how transistors behave. The collector C must be biased more positive than the emitter E. The current through the collector IC is roughly proportional to the current into the base IB (usually anywhere from 50 to 250 times IB). So there you have it. In a first approximation the transistor is a current amplifier. A small current flowing into the base controls a much larger current flowing into the collector.&lt;br /&gt;
[[File:Transcurrentamp.png|right|200px]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
# Ground the emitter of a [[Media:TIP31C.pdf |TIP31C]] npn transistor. Put a 22 Ohm resistor in series with a MM in ammeter mode between the collector and a +2.5VDC supply. Put a 1kOhm resistor in series with an ammeter between the base and the +2.5VDC supply. Advice: Make sure you have the transistor pins labeled correctly (maybe look up the spec sheet).&lt;br /&gt;
## Measure the collector current and the base current for supply voltages VS between 1.3 to 3VDC.&lt;br /&gt;
## Plot IC/IB vs. VS. &lt;br /&gt;
## What is the proportionality factor between IC and IB at VS = 1.3VDC? &lt;br /&gt;
## Is the proportionality factor independent of VS ?&lt;br /&gt;
## Does the transistor amplify current?&lt;br /&gt;
# Read Chpt 3.1, 3.1.1, 3.2.1, 3.1.3 concerning Field-Effect Transistors (FETs) in AoE.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Operational Amplifiers (OpAmps) ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 4.1, 4.1.1, 4.1.2, 4.1.3, 4.2.1, 4.2.2, 4.2.3, 4.2.6, 4.2.7, 4.5.7 concerning Operational Amplifiers (OpAmps) in AoE.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
OpAmps are integrated circuits (ICs) that contain within them many transistors, resistors, capacitors and possibly diodes miniaturized into a single IC component (see chapter 9 of the eBook &#039;&#039;Starting Electronics&#039;&#039;). [[File:Op-Amp.jpg|thumb|What an OpAmp actually looks like|100px]] OpAmps are very high gain dc-coupled differential amplifiers with single-ended outputs and are usually employed with feedback.&lt;br /&gt;
The OpAmp we will be using is National semiconductor&#039;s general purpose [[Media:LM741.pdf| LM741]]. OpAmp behaviour can may be simplified into two simple rules.&lt;br /&gt;
* The output attempts to do whatever is necessary to make the voltage difference between the inputs zero.&lt;br /&gt;
* The inputs draw no (very little anyway) current.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Opamp.jpg|thumb|right|150px|OpAmp circuit symbol]]&lt;br /&gt;
# Use an LM741, a 1kOhm and a 500Ohm resistor to construct the non-inverting amplifier shown at the right (power to OpAmp not shown).[[File:Noninverting.png|thumb|Non-inverting amplifier]]&lt;br /&gt;
## Power the OpAmp at +10VDC and -10VDC.&lt;br /&gt;
## Apply a +1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## Can you explain the OpAmps behaviour in terms of the first rule above?&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)?&lt;br /&gt;
## What is the value of 1 + Rf/Rg?&lt;br /&gt;
## Are these last two values the same?&lt;br /&gt;
## Replace Rf with Rg and Rg with Rf.&lt;br /&gt;
## Apply a +1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)? &lt;br /&gt;
## What is the value of 1 + Rf/Rg (remember you switched the values of Rf and Rg)?&lt;br /&gt;
## What is the general formula for the gain of a non-inverting amplifier?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Reconfigure the LM741, the 1kOhm and 500Ohm resistors for an inverting amplifier (see diagram at right).[[File:Inverting_Amplifier.png|thumb|Inverting amplifier|200px]]&lt;br /&gt;
# Apply a +1VDC input and measure the output.&lt;br /&gt;
## Can you explain the OpAmps behaviour in terms of the first rule above?&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)?&lt;br /&gt;
## What is the value of -Rf/Rin&lt;br /&gt;
## Are these last two values the same?&lt;br /&gt;
## Switch Rf and Rin.&lt;br /&gt;
## Apply a -1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)? &lt;br /&gt;
## What is the value of -Rf/Rin (remember you switched the values of Rf and Rin)?&lt;br /&gt;
## What is the general formula for the gain of an inverting amplifier?&lt;br /&gt;
&lt;br /&gt;
==== Instrumentation and Loading ====&lt;br /&gt;
Since electronic instruments (MMs, oscilloscopes, function generators, even Opamps, etc.) are composed of resistors, capacitors, inductors, diodes, transistors, OpAmps, etc., they have characteristic net input and output impedances.&lt;br /&gt;
&lt;br /&gt;
Consider the simple voltage divider circuit shown at the right.[[File:Voltagedivider.gif|100px|right]]&lt;br /&gt;
Let Vin be 10VDC and R1 = R2 = 10MOhm. Based on your experience in section 5 above what do you think Vout should be?&lt;br /&gt;
# Construct the voltage divider.&lt;br /&gt;
## Let R1 = R2 = 1kOhms. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 10kOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 500kOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 1MOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 10MOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Plot Vout vs. R2.&lt;br /&gt;
## What do you think is going on? Remember how the MM measures voltage. &lt;br /&gt;
&lt;br /&gt;
This voltage sagging effect is the result of circuit loading. The MM bleeds off a small bit of the current and runs it through a very precise calibrated large value resistor (usually between 1MOhm and 10MOhms). When R2 is 1kOhm the MM bleeds off a very small fraction of the current that should have flowed through R2. Consequently, the measured voltage at Vout sags minimally. However, as R2 increases to values approaching the MM&#039;s &amp;quot;internal&amp;quot; resistance (or input impedance) the MM draws off larger and larger fractions of the current that should have run through R2. Consequently, the measured voltage at Vout sags substantially. &lt;br /&gt;
&lt;br /&gt;
The voltage divider and MM can be thought of as a two stage electrical device. The first stage does something and then &amp;quot;hands off&amp;quot; the result to the second stage which also does something.&lt;br /&gt;
&lt;br /&gt;
What can you say about the output impedance of a first-stage electronic device in relation to the input impedance of a second-stage electronic device?&lt;br /&gt;
&lt;br /&gt;
==== Unity Gain Non-Inverting Amplifier: The Follower or Buffer ====&lt;br /&gt;
The above consideration on instrumentation and loading naturally lead to a very useful OpAmp device. A follower (pictured at right) [[File:Follower.png|thumb|200px| The follower]] is a unity gain non-inverting amplifier. Why would anyone want this? It just reproduces what you&#039;ve already got. &lt;br /&gt;
&lt;br /&gt;
Well let&#039;s consider the follower&#039;s input and output impedances. From the second simple rule for OpAmps (see above) the input impedance (looking into the (+) OpAmp input) is &amp;quot;infinite&amp;quot; (well, very high anyway as it draws little to no current). The OpAmp&#039;s output impedance (looking from Vout to the (-) OpAmp input) is zero (or very nearly).&lt;br /&gt;
&lt;br /&gt;
So the follower has the useful properties that it&#039;s input impedance is &amp;quot;infinite&amp;quot; and it&#039;s output impedance is &amp;quot;zero&amp;quot;. This would have been a wonderful thing to have between the voltage divider stage and the MM stage in the previous section.&lt;br /&gt;
&lt;br /&gt;
# Redo the measurements of the previous section with the follower (or in this case it&#039;s maybe better to call it a buffer) in between the stages.&lt;br /&gt;
## Plot the new Vout vs. R2.&lt;br /&gt;
## Does Vout still sag with increasing R2?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== RF Circuits and PCBs ====&lt;br /&gt;
&lt;br /&gt;
* Read Chapter 1 of &#039;&#039;RF Circuit Design&#039;&#039; by Chris Boswick (on bookshelf in lab).&lt;br /&gt;
# Why do discrete-component electronic circuits behave non-ideally at RF frequencies (&amp;gt;= 10MHz).&lt;br /&gt;
# What can be done about this?&lt;br /&gt;
# Build two discrete-component RLC tank circuit on a protoboard. One at resonant a (&amp;quot;low&amp;quot;) frequency (500kHz) and one at a (&amp;quot;high&amp;quot;) resonant frequency (30 MHz).&lt;br /&gt;
## Plot the Vout vs frequency of the  low-frequency tank circuit. Does it behave as expected?&lt;br /&gt;
## Plot the Vout vs frequency of the  high-frequency tank circuit. Does it behave as expected?&lt;br /&gt;
## Explain the two previous results.&lt;br /&gt;
# Create and populate a ground-plane PCB of the high-frequency tank circuit above. &lt;br /&gt;
## Plot Vout vs. frequency. &lt;br /&gt;
## Does it behave as expected? Why?&lt;br /&gt;
[[How_To_Make_a_PCB | Read this on PCB construction]]&lt;br /&gt;
&lt;br /&gt;
==== Optoelectronics ====&lt;br /&gt;
The electronic components considered above lie completely in the realm of &amp;quot;pure&amp;quot; electronics. In addition to these &amp;quot;pure&amp;quot; electronic components there exists hybrid components that blend the characteristics of electronics and optics. These are called optoelectronic (OE) components and include photodiodes (PDs), light-emitting diodes (LEDs) and laser diodes (LDs). We won&#039;t go into detail of what these OE components are but just look at how they behave. Suffice it to say, at this point, that the PD, LED and LD are all diodes and if you understand what a diode is you&#039;ll go a long way towards understanding these OE devices.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Photodiode or photodetector:&#039;&#039;&#039; Photodiodes are very much like the diodes you encountered above with the exception that currents can be induced not only by biasing voltages but also by light (called the photo-current). Please read about photodiodes in Saleh &amp;amp; Teich&#039;s &#039;&#039;Fundamentals of Photonics&#039;&#039; sections 18.1, 18.3 and 18.4 (on bookshelf). [[File:PDsymbol.png|thumb|200px| Photodiode symbol]]&lt;br /&gt;
# Measure the &amp;quot;dark&amp;quot; forward I-V curve of Optek&#039;s [[Media:OP950.PDF| OP950]] PD (from 0-1.5V). That is, shield the PD from ambient room light while doing the measurement. &lt;br /&gt;
## Plot the dark forward I-V curve.&lt;br /&gt;
## How does it look compared to the &amp;quot;pure&amp;quot; electronic diode&#039;s forward I-V curve?&lt;br /&gt;
## At what voltage does the PD &amp;quot;turn on&amp;quot;. How does this compare with the &amp;quot;pure&amp;quot; diode&#039;s turn-on voltage?&lt;br /&gt;
## Now open up the PD to ambient room light and plot at the forward I-V curve again. Has it changed?&lt;br /&gt;
## Get a red LD module and shine laser light on the PD. Observe the forward I-V curve again. Has it changed?&lt;br /&gt;
## What can you say about the PD&#039;s I-V curve as a function of incident light power?&lt;br /&gt;
## Measure the dark reverse I-V curve of the PD between 0 and -25VDC.&lt;br /&gt;
## Open the PD to ambient light and redo the previous measurement.&lt;br /&gt;
## Shine the red laser light on the PD and repeat the measurement again.&lt;br /&gt;
## What can you say about the reverse I-V curve of the PD vs. incident light power?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Please read about light emitting diodes (LEDs) and laser diodes (LDs) in &#039;&#039;Fundamentals of Photonics&#039;&#039; sections 17.1 and 17.3.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Light Emitting Diode:&#039;&#039;&#039; [[File:Led.jpg|thumb|100px| [[File:LED_Symbol.png|thumb|100px| LED symbol]]Typical LED]]The PD above is a device that when light is incident on it a photocurrent is produced. The LED, on the other hand, is a device that when a (suitable) current is induced through it light is produced.&lt;br /&gt;
# Forward bias (positive voltages applied to the Anode) ANDOptoelectronic&#039;s [[Media:AND114-R.pdf| AND114-R]] LED between 0 and 2VDC.&lt;br /&gt;
## What happens as the voltage is increased?&lt;br /&gt;
## With a power meter measure the optical power as a function of forward current and plot.&lt;br /&gt;
## Are there distinct regimes of optical power output?&lt;br /&gt;
## With a spectrometer measure the optical power as a function of wavelength.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Laser diode:&#039;&#039;&#039; Laser diodes are similar to LEDs but in addition have optical feedback. Without going into detail, this [[File:LD.jpg|thumb|Typical LD|right|100px]]feedback greatly improves the optical characteristics of the LD (think of the difference between a flashlight and a laser pointer). &lt;br /&gt;
&lt;br /&gt;
[[Media:Lasers_en.jar | Download and run this laser simulation applet - Try to get the system to lase]]&lt;br /&gt;
&lt;br /&gt;
LEDs are fairly robust devices. You can mistreat them, within reason, and they&#039;ll still function (at least to some degree). LDs, on the other hand, are easily destroyed or damaged. &amp;lt;br&amp;gt;&lt;br /&gt;
* Static Electricity: The static electricity generated by walking across a carpet can (and usually does) destroy them. &lt;br /&gt;
* Reverse Bias Voltages: LDs (and LEDs too) are meant to operate in forward bias only. As such, they can be destroyed by applying too high a reverse bias to them (this reverse bias damage value is usually spec&#039;d). &lt;br /&gt;
* Rapid Current Changes: Abruptly cutting off (or turning on) a LD driving current can (and usually does) destroy the LD.&lt;br /&gt;
* Putting too much current through the LD (again, this usually does destroy the LD).&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
For all these reasons LD are usually operated within a protective circuit (see right).[[File:CCcircuit.png|thumb|400px|LD Constant Current (CC) Circuit]]&lt;br /&gt;
&lt;br /&gt;
There are two components you haven&#039;t seen yet. The [[Media:LM317.pdf|LM317 ]] and the square blue component (the pot) connected to the middle pin of the LM317. A pot or potentiometer is a variable resistor. It&#039;s got a knob or screw that can be turned to adjust its resistance.&lt;br /&gt;
&lt;br /&gt;
Let&#039;s discuss the parts of this circuit and what they do to help protect and operate the LD. The LM317 is a voltage regulator. The pot allows for adjusting the LD current and the resistors act to limit the maximum current. The &amp;quot;pure&amp;quot; electronic diode clamps any reverse biases (accidentally applied) to ~ 0.6V (which is below the reverse bias damage value). The capacitor suppresses static discharges or voltage transients and slows the LD turn-on/turn-off behaviour.&lt;br /&gt;
&lt;br /&gt;
In addition to the LD protection circuit always wear an [[Media:Antistaticwb.jpg|antistatic wrist band ]] when handling LDs. &lt;br /&gt;
&lt;br /&gt;
Also, it&#039;s always best to test your CC circuit with an LED first (LED is more robust - and cheaper) before trying it with the LD. &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The LD we&#039;ll use is LiteOn&#039;s [[Media:LTLD505T.pdf| LTLD505T]]. It has a center wavelength around 650nm, 5mW optical power, turn-on (or threshold) current around 35mA, operating current 45mA, operating voltage around 2.4V, max operating voltage 2.6V and max reverse voltage of  &lt;br /&gt;
2V.&lt;br /&gt;
&lt;br /&gt;
# Put together this LD CC circuit with V(-) at ground, V(+) at 7VDC, a 1K pot, , R = 30 Ohms, C = 10&amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f and a  P6KE6.8 diode (oriented the correct way).&lt;br /&gt;
## Test the CC circuit with an LED (cathode grounded).&lt;br /&gt;
## Does the circuit light up the LED? If yes, proceed. If not, troubleshoot the circuit.&lt;br /&gt;
## Replace the LED with the LD (remember to wear the antistatic wrist band).&lt;br /&gt;
## Does the circuit light up the LD? Is yes, proceed. If not, troubleshoot.&lt;br /&gt;
## With the power meter measure the optical power vs. LD current. What&#039;s the turn-on current? Is it close to the LD&#039;s spec&#039;d threshold current?&lt;br /&gt;
## What is the optical power at the operating current?&lt;br /&gt;
## Are there distinct optical regimes?&lt;br /&gt;
## How does the LD&#039;s threshold current relate to these regimes?&lt;br /&gt;
## With a spectrometer measure and plot the optical power vs. wavelength for currents just below threshold and well above threshold.&lt;br /&gt;
## Are these plots similar? Explain.&amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt;&lt;br /&gt;
* Submit a write-up outlining your activities, results and the answers to all the questions asked above.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE&#039;&#039;&#039;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Coat_Optical_Fibers&amp;diff=3644</id>
		<title>How to Coat Optical Fibers</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=How_to_Coat_Optical_Fibers&amp;diff=3644"/>
		<updated>2023-03-10T18:10:37Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: Created page with &amp;quot; ProCoater Read Me&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[media: ProCoater_READ_ME_-APL.pdf| ProCoater Read Me]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3643</id>
		<title>APL wiki:Community portal</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3643"/>
		<updated>2023-03-10T18:09:42Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Projects and Modules */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to the University of Oregon, Department of Physics, Advanced Projects Lab&#039;s Wiki.&lt;br /&gt;
&lt;br /&gt;
To see our main website visit [http://june.uoregon.edu Advanced Projects Lab].&lt;br /&gt;
&lt;br /&gt;
== Projects and Modules ==&lt;br /&gt;
[[File:APL.jpg|650px|right]]&lt;br /&gt;
[[Advanced Projects]]&lt;br /&gt;
&lt;br /&gt;
[[Teaching Modules]]&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[General Lab Equipment Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Basic Machining Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Fiber-Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Digital-Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Make and Test a Semiconductor Device]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Permittivity and Permeability of Materials Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Vacuum Technology Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Scientific Python Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[LabVIEW Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Media:Taking,_Storing,_Transferring_and_Presenting_Data.pdf| Taking, Storing and Presenting Data]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Make a Printed Circuit Board (PCB)]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Test Transistors and FETs]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Operating Fusion Splicers and Preparing the Fiber]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Coat Optical Fibers]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Useful Links: ===&lt;br /&gt;
&lt;br /&gt;
[http://www.rp-photonics.com/encyclopedia.html RP Photonics Encyclopedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.newport.com/Tutorials/979935/1033/content.aspx Newport Tutorials]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== LaTeX Help: ===&lt;br /&gt;
&lt;br /&gt;
[[Working with TeX Equations]]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/LaTeX LaTeX - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[[Media:Lshort.pdf |The Not So Short Introduction to LATEX]]&lt;br /&gt;
&lt;br /&gt;
=== Wiki Markup Help: ===&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Cheatsheet Help:Cheatsheet] &lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Wiki_markup Help:Wiki markup]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Wikipedia:Extended_image_syntax Wikipedia:Extended image syntax]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Help:Tables Help: Tables]&lt;br /&gt;
&lt;br /&gt;
=== CDF (Computable Document Format) Help: ===&lt;br /&gt;
&#039;&#039;(Note - The Wolfram CDF player for Linux currently doesn&#039;t support the browser plugin)&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[http://www.wolfram.com/cdf-player/  Get the Wolfram CDF Player]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Computable_Document_Format CDF - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Extension:WolframCDF#Usage How to include CDF files on wiki pages]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:ProCoater_READ_ME_-APL.pdf&amp;diff=3642</id>
		<title>File:ProCoater READ ME -APL.pdf</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:ProCoater_READ_ME_-APL.pdf&amp;diff=3642"/>
		<updated>2023-03-10T18:08:05Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3641</id>
		<title>APL wiki:Community portal</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3641"/>
		<updated>2023-03-09T23:33:19Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to the University of Oregon, Department of Physics, Advanced Projects Lab&#039;s Wiki.&lt;br /&gt;
&lt;br /&gt;
To see our main website visit [http://june.uoregon.edu Advanced Projects Lab].&lt;br /&gt;
&lt;br /&gt;
== Projects and Modules ==&lt;br /&gt;
[[File:APL.jpg|650px|right]]&lt;br /&gt;
[[Advanced Projects]]&lt;br /&gt;
&lt;br /&gt;
[[Teaching Modules]]&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[General Lab Equipment Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Basic Machining Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Fiber-Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Digital-Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Make and Test a Semiconductor Device]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Permittivity and Permeability of Materials Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Vacuum Technology Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Scientific Python Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[LabVIEW Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Media:Taking,_Storing,_Transferring_and_Presenting_Data.pdf| Taking, Storing and Presenting Data]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Make a Printed Circuit Board (PCB)]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Test Transistors and FETs]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Operating Fusion Splicers and Preparing the Fiber]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Useful Links: ===&lt;br /&gt;
&lt;br /&gt;
[http://www.rp-photonics.com/encyclopedia.html RP Photonics Encyclopedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.newport.com/Tutorials/979935/1033/content.aspx Newport Tutorials]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== LaTeX Help: ===&lt;br /&gt;
&lt;br /&gt;
[[Working with TeX Equations]]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/LaTeX LaTeX - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[[Media:Lshort.pdf |The Not So Short Introduction to LATEX]]&lt;br /&gt;
&lt;br /&gt;
=== Wiki Markup Help: ===&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Cheatsheet Help:Cheatsheet] &lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Wiki_markup Help:Wiki markup]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Wikipedia:Extended_image_syntax Wikipedia:Extended image syntax]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Help:Tables Help: Tables]&lt;br /&gt;
&lt;br /&gt;
=== CDF (Computable Document Format) Help: ===&lt;br /&gt;
&#039;&#039;(Note - The Wolfram CDF player for Linux currently doesn&#039;t support the browser plugin)&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[http://www.wolfram.com/cdf-player/  Get the Wolfram CDF Player]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Computable_Document_Format CDF - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Extension:WolframCDF#Usage How to include CDF files on wiki pages]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Electronics_Obstacle_Course&amp;diff=3640</id>
		<title>Electronics Obstacle Course</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Electronics_Obstacle_Course&amp;diff=3640"/>
		<updated>2023-01-17T23:10:06Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Diodes */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Permanent Materials (located in the electronics area): ==&lt;br /&gt;
[[File:Electronic_station.jpg|right|500px]]&lt;br /&gt;
- power supplies  &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DG1022.pdf|function generators]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DS1102E.pdf|oscilloscopes ]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:Fluke_179.pdf| Fluke 179 multimeter (MM)]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:CX-920A.pdf| capacitance meter]] &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:PB-505.pdf|electronic proto-boards]]&amp;lt;br&amp;gt;&lt;br /&gt;
- wire, resistors, capacitors, inductors, diodes, Op-Amps, other ICs&amp;lt;br&amp;gt;&lt;br /&gt;
- photodiodes (PDs), light-emitting diodes (LEDs), laser diodes (LDs)&amp;lt;br&amp;gt;&lt;br /&gt;
- soldering equipment and supplies&lt;br /&gt;
&lt;br /&gt;
=== Materials to borrow when necessary ===&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;The Art of Electronics (AoE)- 3rd Edition&#039;&#039;, Horowitz &amp;amp; Hill&amp;lt;br&amp;gt;&lt;br /&gt;
- inductance meter&amp;lt;br&amp;gt;&lt;br /&gt;
- voltage supply&lt;br /&gt;
- Red LD module&lt;br /&gt;
- Optical power meter&lt;br /&gt;
- Spectrometer&lt;br /&gt;
&lt;br /&gt;
[[File:Symbols.png|frame|right|Electronic Component Symbols|200px]]&lt;br /&gt;
&lt;br /&gt;
=== Activities ===&lt;br /&gt;
&lt;br /&gt;
* If you have zero electronic training or experience read chapters 1-6 of Keith Brindley&#039;s eBook &#039;&#039;Starting Electronics&#039;&#039;.&lt;br /&gt;
* If you have a little experience with electronics proceed and consult &#039;&#039;Starting Electronics&#039;&#039; or &#039;&#039;The Art of Electronics&#039;&#039; as needed.&amp;lt;br&amp;gt;&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE - PUT BACK ELECTRONIC COMPONENTS IN APPROPRIATE PLACES AFTER EACH ACTIVITY&#039;&#039;&#039; &lt;br /&gt;
* Keep a journal of your activities, results and answers to any questions asked in the activities below. You will use this for your write-up. &lt;br /&gt;
&lt;br /&gt;
==== Resistor &amp;amp; Capacitor Basics ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 1 of AoE.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
[[File:Fluke_179.jpg|right|100px| thumb| multimeter]]&lt;br /&gt;
# With a MM measure the resistance of five 100 Ohm resistors. Do they fall within the specified tolerance?&lt;br /&gt;
## What is resistance? Can you provide an analogy based on water flowing through pipes?&lt;br /&gt;
## Describe physically a resistor.&lt;br /&gt;
## Is energy stored in a resistor or dissipated as heat? Can you provide an explanation of the basic physical processes?&lt;br /&gt;
## What is the resistance of two 100 Ohm resistors in series? How do resistors in series add?&lt;br /&gt;
## What is the resistance of two 100 Ohm resistors in parallel? How do resistors in parallel add?&lt;br /&gt;
## How might the MM measure the resistance? &lt;br /&gt;
## What can you say about the &amp;quot;internal&amp;quot; resistance of the MM in resistance measurement mode?[[File:Pb-505.jpg|right|100px|thumb|proto-board]]&lt;br /&gt;
## Using a proto-board and one of the 100 Ohm resistors put 2.5VDC &#039;&#039;&#039;across&#039;&#039;&#039; the resistor. Calculate the current. Use the MM in ammeter mode to measure the current. Are the calculated and measured values close? Does the power applied to the resistor fall within the power rating of the resistor? What is power? What could happen if you applied too much power to the resistor?&lt;br /&gt;
## What is current?&lt;br /&gt;
## How might the MM measure current?&lt;br /&gt;
## What can you say about the &amp;quot;internal&amp;quot; resistance of the ammeter used in the measurement of the current?&lt;br /&gt;
## How do the MM wire leads effect these measurements?&lt;br /&gt;
## Could you measure the resistance of a 1cm length of copper wire with the MM? Why?&lt;br /&gt;
# Put 150mA of DC current &#039;&#039;&#039;through&#039;&#039;&#039; a 10 Ohm resistor. &lt;br /&gt;
## What power is being applied to the resistor? Calculate the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the resistor. With the MM measure the voltage across the resistor. Are these values close?&lt;br /&gt;
##What is voltage?&lt;br /&gt;
## How might the MM measure a voltage?&lt;br /&gt;
## What can you say about the MM&#039;s &amp;quot;internal&amp;quot; resistance when it measures a voltage?&lt;br /&gt;
# With a function generator put a 5VAC (peak-to-peak) sinusoidal voltage at frequencies of 50, 500 and 1000 Hz &#039;&#039;&#039;across&#039;&#039;&#039; a ~ 5k Ohm resistor.&lt;br /&gt;
## Using the MM in voltage mode measure the AC voltage. Does it vary with frequency?&lt;br /&gt;
## Using the MM in current mode measure the AC current. Does it vary with frequency?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Measure the capacitance of five 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f unpolarized capacitors. Do they fall within the specified tolerance?&lt;br /&gt;
## What is capacitance? Describe physically a very simple capacitor.&lt;br /&gt;
## How is energy stored in a capacitor?&lt;br /&gt;
## What is the difference between unpolarized and polarized capacitors?&lt;br /&gt;
## What is the capacitance of two 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitors in series? How do capacitors in series add?&lt;br /&gt;
## What is the capacitance of two 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitors in parallel? How do capacitors in parallel add?&lt;br /&gt;
## How might the capacitance meter measure the capacitance?&lt;br /&gt;
## Using a proto-board apply 2.5VDC &#039;&#039;&#039;across&#039;&#039;&#039; an 0.1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor and 100 Ohm resistor in series. Using a MM measure the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the entire capacitor + resistor series network. Measure the voltage across the capacitor only. Measure the voltage across the resistor only. Explain the measured voltage across the resistor.&lt;br /&gt;
## Now apply a 2.5VAC sinusoidal voltage &#039;&#039;&#039;across&#039;&#039;&#039; the capacitor + resistor network at 50, 500 and 1000 Hz.&lt;br /&gt;
## What&#039;s the voltage across the resistor for 50, 500 and 1000Hz?&lt;br /&gt;
## What&#039;s the voltage across the capacitor for 50, 500 and 1000Hz?&lt;br /&gt;
## How does the voltage across the capacitor as a function of frequency compare to the voltage across a resistor as a function of frequency?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt; [[File:Voltagedivider.gif|right|100px]]&lt;br /&gt;
# Build a network of two (possibly different valued) resistors that takes an input voltage of 5VDC and produces an output voltage at 2.5VDC.&lt;br /&gt;
# Build a network of two (possibly different valued) resistors that takes an input voltage of 5VDC and produces an output voltage at 1.25VDC.&lt;br /&gt;
# Build a network of an &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor and a 100 Ohm resistor in series.&lt;br /&gt;
## Apply a 1VAC sinusoidal (input) signal to the capacitor at 100, 1000, 5000, 10000, 15000, 20000, 25000 and 50000 Hz and measure the (output) voltage between the capacitor and the resistor for each frequency.&lt;br /&gt;
## Plot as a function of frequency. What can you say about the frequency dependence of the ratio of output to input voltage?&lt;br /&gt;
## You&#039;ve just built three very useful circuits called voltage dividers. Would a voltage divider containing only resistors work for AC voltages? If you&#039;re unsure, try it. Would a voltage divider containing at least one capacitor work for DC voltages? Again, if you&#039;re unsure, try it.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Now, apply a 1V 10Hz square pulse to a 500 Ohm resistor and an 10 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor in series.&lt;br /&gt;
## Using an oscilloscope measure the voltage across the capacitor. (You&#039;ll need to use the oscilloscope&#039;s front-panel controls to get the waveform on the screen and get the triggering to work)&lt;br /&gt;
## Are the leading and trailing edges of the pulse similar? Why?&lt;br /&gt;
## What is the &amp;quot;rise time&amp;quot; of the leading edge (10% to 90%)?&lt;br /&gt;
## What is the &amp;quot;fall time&amp;quot; of the trailing edge (10% to 90%)?&lt;br /&gt;
## What is the time it takes for the trailing edge to fall to 1/e of its initial value?&lt;br /&gt;
## What is the value of the resistance multiplied by the capacitance?&lt;br /&gt;
## Repeat the above measurements with a 1 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor instead of the 10 &amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f capacitor.&lt;br /&gt;
## Are the rise and fall times faster or slower?&lt;br /&gt;
## What can you say about the rise time as a function of capacitance?&lt;br /&gt;
# Next let&#039;s use resistors and a capacitors to build one frequency-low-pass circuit and one frequency-high-pass circuit.[[File:LPF.png|right|75px]]&lt;br /&gt;
## Use what you&#039;ve learned about the AC and DC responses of capacitors and resistors to put together a resistor + capacitor network that blocks DC current, strongly attenuates low frequencies but passes high frequencies (hint: recall the voltage divider  of 7 above).[[File:HPF.png|right|75px]]&lt;br /&gt;
## Determine the circuit&#039;s 3dB point.&lt;br /&gt;
## Put together a resistor + capacitor network that passes DC current and low frequencies but strongly attenuates high frequencies.&lt;br /&gt;
## Determine the circuit&#039;s 3dB point.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Inductor Basics ====&lt;br /&gt;
[[File:Inductor_symbol.png|thumb|100px|right|Inductor Symbol- L]]&lt;br /&gt;
# Measure the inductance of five 1mH inductors. Estimate their tolerance (5%, 10%, 15% or 20%).&lt;br /&gt;
## What is inductance? Describe physically a very simple inductor.&lt;br /&gt;
## How is energy stored in an inductor?&lt;br /&gt;
## What is the inductance of two 1mH inductors in series? How do inductors add in series?&lt;br /&gt;
## What is the inductance of two 1mH inductors in parallel? How do inductors add in parallel?&lt;br /&gt;
## Do inductors add like resistors or capacitors?&lt;br /&gt;
## How does the inductance meter measure inductance?&amp;lt;br&amp;gt;&lt;br /&gt;
# Using a proto-board apply 1VDC &#039;&#039;&#039;across&#039;&#039;&#039; a 1mH inductor and 500 Ohm resistor in series. Using a MM measure the voltage &#039;&#039;&#039;across&#039;&#039;&#039; the entire inductor + resistor series network. What is the inductors &amp;quot;resistance&amp;quot; in this situation?&lt;br /&gt;
# Put a 1VAC sinusoidal signal across the inductor + resistor network at 50, 500, 2kHz, 5kHz and 10kHz, 25kHz, 50000, 250kHz and 1Mhz.&lt;br /&gt;
## At each frequency measure the voltage across the inductor only. Measure the voltage across the resistor only. Explain the measured voltage across the resistor in terms of how the inductor behaves with frequency.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
==== Resonant circuits ====&lt;br /&gt;
[[File:LR_Bandpass_filter.jpg|thumb|right|LC resonant circuit - bandpass filter|150px]]&lt;br /&gt;
# Construct the circuit shown at the right using a 500 Ohm resistor, 1mH inductor and a 10uf capacitor.&lt;br /&gt;
## Apply a 1VAC sinusoidal input voltage at frequencies between 10 and 6200Hz and &#039;&#039;&#039;plot&#039;&#039;&#039; the output voltage as a function of frequency.&lt;br /&gt;
## At what frequency is the response of the circuit maximum?&lt;br /&gt;
## Use QUCS or LTSpice to simulate this circuit. These software programs are on the lab desktop computers (or you can put them on your own laptop. You can find information on the programs in these links [http://qucs.sourceforge.net/ QUCS] and [http://www.analog.com/en/design-center/design-tools-and-calculators/ltspice-simulator.html LTSpice]. Consult with the instructor or TA concerning how to do this and what the results should look like.&lt;br /&gt;
## Explain the response of this circuit based on what you&#039;ve learned about capacitors and inductors.&lt;br /&gt;
## When would a circuit with a response like this be useful?&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Impedance and Reactance ====&lt;br /&gt;
Impedance is resistance generalized. A resistor resists (dissipates power) but does not change the waveform (square wave in square wave out). Capacitors and inductors (since they store energy) can react and cause changes in the waveform (see section 8 above). &lt;br /&gt;
&lt;br /&gt;
The concept of impedance includes resistance and reactance effects. That is, &#039;&#039;&#039;Impedance = Resistance + Reactance&#039;&#039;&#039;. All the frequency dependence is contained within the reactance. For ideal capacitors and inductors their resistance is zero (not the case in real life). An ideal resistor is a purely resistive component and has no reactance (again, not the case in real life). &lt;br /&gt;
&lt;br /&gt;
We can use the word &amp;quot;impedance&amp;quot; in general. When we say something like, &amp;quot;What&#039;s the resistor&#039;s impedance&amp;quot;, we are referring to the resistance term of the resistor&#039;s impedance equation. When we say something like, &amp;quot;What&#039;s the impedance of the capacitor&amp;quot;, we are referring to the reactance term of the capacitor&#039;s impedance equation. &lt;br /&gt;
# Think back to the previous exercises. &lt;br /&gt;
## What is the frequency dependence of a capacitor&#039;s impedance?&lt;br /&gt;
## What is the frequency dependance of an inductors impedance?&lt;br /&gt;
&lt;br /&gt;
==== Diodes ====&lt;br /&gt;
For the electronic components considered above (resistor, capacitor, inductor) it doesn&#039;t matter which way you put them into a circuit - they are non-directional. That is, you can flip their leads and the circuit will behave the same. For diodes this is not the case. Diodes are directional and it matters which way they are oriented in a circuit. Diodes are physically more complicated than the components treated above so we won&#039;t go into an explanation of just what a diode is now. Here, we&#039;ll only consider how diodes behave. &amp;lt;br&amp;gt; &amp;lt;br&amp;gt;For a more detailed study of diodes and transistors you may read Sze&#039;s &#039;&#039;Semiconductor Physics&#039;&#039; (on bookshelf): All of chapter 1, sections 2.1, 2.2, 2.3 for basic semiconductor background and sections 3.1, 3.2, 3.3, 3.4 for diodes and PN junctions and section 4.1 for transistor action.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Media:Semiconductor_en.jar |Download and run this PN junction applet]]. By adjusting the bias voltage show that the diode conducts only under forward bias. &lt;br /&gt;
&lt;br /&gt;
[[File:Diodecathan.png|right|Diode]]&lt;br /&gt;
# Put a (6V) Zener Diode in series with a MM in ammeter mode and ground the anode. &lt;br /&gt;
## Apply 0.7VDC to the cathode and measure the current through the diode.&lt;br /&gt;
## Now ground the cathode and apply 0.7VDC to the anode and measure the current through the diode.&lt;br /&gt;
## Are the currents the same? &lt;br /&gt;
# With the cathode grounded apply voltages from 0-1.5 VDC to the anode in 0.1 V increments and plot the result. This is the forward I-V curve for the diode. The diode is said to be &amp;quot;forward biased&amp;quot; in this situation.&lt;br /&gt;
## There should be a &amp;quot;knee&amp;quot; in this curve where the diode &amp;quot;turns on&amp;quot; or conducts. About what voltage is this?&lt;br /&gt;
# Using a (current limited) voltage supply, apply voltages from 0-10VDC to the cathode (anode grounded) and plot the result. This is the reverse I-V curve for the diode. The diode is said to be &amp;quot;reverse biased&amp;quot; in this situation. &lt;br /&gt;
## There should be a &amp;quot;knee&amp;quot; in this curve too where the diode starts to conduct in the reverse direction. About what voltage is this?&lt;br /&gt;
## Are the forward and reverse &amp;quot;turn on&amp;quot; voltages symmetric about 0V?&lt;br /&gt;
# Construct the diode clamp circuit shown at the right.[[File:Diode_clamp.jpg|thumb| Diode Clamp|100px]]&lt;br /&gt;
## Apply input voltages from 0-10VDC and plot the output voltage vs. input voltage.&lt;br /&gt;
## Does the diode clamp earn its name?&lt;br /&gt;
## Can you explain the maximum output voltage?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Employ an AC voltage divider with a resistor and the P6KE6.8 to measure the diode&#039;s capacitance as a function of bias voltage. [[File:Voltage_Divider.png|100px|right]]This diode capacitance issue will play a role later on when we encounter optoelectronic devices. In the AC voltage divider shown at the right the C indicates the capacitance of the diode. That is, don&#039;t put a capacitor where &amp;quot;C&amp;quot; is but the P6KE6.8 diode with its cathode grounded. Apply a 20mV AC sinusoidal signal with varying (positive to the anode) DC offsets (larger than 20mV) to the input. The DC offset is the diode&#039;s bias voltage. Look for amplitude changes to the AC signal at the output. With the voltage divider formula and the formula for the impedance of a capacitor you should be able to plot the diodes capacitance Cd as a function of bias voltage (the DC offset).&lt;br /&gt;
## Does the diode&#039;s capacitance decrease of increase with positive bias voltages?&lt;br /&gt;
## Is there a limiting behaviour? If so, can you explain it?&lt;br /&gt;
## Now measure the diode&#039;s capacitance for reverse biases from 0 to 25VDC (positive to the cathode).&lt;br /&gt;
## Does the diode&#039;s capacitance change much for reverse bias voltages?&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Bridge Circuits ====&lt;br /&gt;
This section under construction...&lt;br /&gt;
&lt;br /&gt;
==== Transistors ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 2.1, 2.1.1, 2.2.1 and 2.2.3 concerning bipolar transistors in AoE&lt;br /&gt;
[[File:Bipolar-junction-transistors.jpg|thumb|right| Transistors|100px]]&lt;br /&gt;
All the components (even diodes) examined above are considered &amp;quot;passive&amp;quot; components. That is, they can&#039;t supply energy. Transistors are considered &amp;quot;active&amp;quot; in the sense that they can supply energy (or amplify). Like diodes, transistors are physically more complicated than resistors, capacitors and inductors and we won&#039;t go into detail about just what they are. Instead we&#039;ll focus on how transistors behave. The collector C must be biased more positive than the emitter E. The current through the collector IC is roughly proportional to the current into the base IB (usually anywhere from 50 to 250 times IB). So there you have it. In a first approximation the transistor is a current amplifier. A small current flowing into the base controls a much larger current flowing into the collector.&lt;br /&gt;
[[File:Transcurrentamp.png|right|200px]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
# Ground the emitter of a [[Media:TIP31C.pdf |TIP31C]] npn transistor. Put a 22 Ohm resistor in series with a MM in ammeter mode between the collector and a +2.5VDC supply. Put a 1kOhm resistor in series with an ammeter between the base and the +2.5VDC supply. Advice: Make sure you have the transistor pins labeled correctly (maybe look up the spec sheet).&lt;br /&gt;
## Measure the collector current and the base current for supply voltages VS between 1.3 to 3VDC.&lt;br /&gt;
## Plot IC/IB vs. VS. &lt;br /&gt;
## What is the proportionality factor between IC and IB at VS = 1.3VDC? &lt;br /&gt;
## Is the proportionality factor independent of VS ?&lt;br /&gt;
## Does the transistor amplify current?&lt;br /&gt;
# Read Chpt 3.1, 3.1.1, 3.2.1, 3.1.3 concerning Field-Effect Transistors (FETs) in AoE.&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== Operational Amplifiers (OpAmps) ====&lt;br /&gt;
&lt;br /&gt;
* Read Chpt 4.1, 4.1.1, 4.1.2, 4.1.3, 4.2.1, 4.2.2, 4.2.3, 4.2.6, 4.2.7, 4.5.7 concerning Operational Amplifiers (OpAmps) in AoE.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
OpAmps are integrated circuits (ICs) that contain within them many transistors, resistors, capacitors and possibly diodes miniaturized into a single IC component (see chapter 9 of the eBook &#039;&#039;Starting Electronics&#039;&#039;). [[File:Op-Amp.jpg|thumb|What an OpAmp actually looks like|100px]] OpAmps are very high gain dc-coupled differential amplifiers with single-ended outputs and are usually employed with feedback.&lt;br /&gt;
The OpAmp we will be using is National semiconductor&#039;s general purpose [[Media:LM741.pdf| LM741]]. OpAmp behaviour can may be simplified into two simple rules.&lt;br /&gt;
* The output attempts to do whatever is necessary to make the voltage difference between the inputs zero.&lt;br /&gt;
* The inputs draw no (very little anyway) current.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[File:Opamp.jpg|thumb|right|150px|OpAmp circuit symbol]]&lt;br /&gt;
# Use an LM741, a 1kOhm and a 500Ohm resistor to construct the non-inverting amplifier shown at the right (power to OpAmp not shown).[[File:Noninverting.png|thumb|Non-inverting amplifier]]&lt;br /&gt;
## Power the OpAmp at +10VDC and -10VDC.&lt;br /&gt;
## Apply a +1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## Can you explain the OpAmps behaviour in terms of the first rule above?&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)?&lt;br /&gt;
## What is the value of 1 + Rf/Rg?&lt;br /&gt;
## Are these last two values the same?&lt;br /&gt;
## Replace Rf with Rg and Rg with Rf.&lt;br /&gt;
## Apply a +1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)? &lt;br /&gt;
## What is the value of 1 + Rf/Rg (remember you switched the values of Rf and Rg)?&lt;br /&gt;
## What is the general formula for the gain of a non-inverting amplifier?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Reconfigure the LM741, the 1kOhm and 500Ohm resistors for an inverting amplifier (see diagram at right).[[File:Inverting_Amplifier.png|thumb|Inverting amplifier|200px]]&lt;br /&gt;
# Apply a +1VDC input and measure the output.&lt;br /&gt;
## Can you explain the OpAmps behaviour in terms of the first rule above?&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)?&lt;br /&gt;
## What is the value of -Rf/Rin&lt;br /&gt;
## Are these last two values the same?&lt;br /&gt;
## Switch Rf and Rin.&lt;br /&gt;
## Apply a -1VDC signal to the input and measure the output voltage.&lt;br /&gt;
## What is the gain of your amplifier (Vout/Vin)? &lt;br /&gt;
## What is the value of -Rf/Rin (remember you switched the values of Rf and Rin)?&lt;br /&gt;
## What is the general formula for the gain of an inverting amplifier?&lt;br /&gt;
&lt;br /&gt;
==== Instrumentation and Loading ====&lt;br /&gt;
Since electronic instruments (MMs, oscilloscopes, function generators, even Opamps, etc.) are composed of resistors, capacitors, inductors, diodes, transistors, OpAmps, etc., they have characteristic net input and output impedances.&lt;br /&gt;
&lt;br /&gt;
Consider the simple voltage divider circuit shown at the right.[[File:Voltagedivider.gif|100px|right]]&lt;br /&gt;
Let Vin be 10VDC and R1 = R2 = 10MOhm. Based on your experience in section 5 above what do you think Vout should be?&lt;br /&gt;
# Construct the voltage divider.&lt;br /&gt;
## Let R1 = R2 = 1kOhms. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 10kOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 500kOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 1MOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Change both resistors to 10MOhm. Measure Vout. Is Vout what you expected?&lt;br /&gt;
## Plot Vout vs. R2.&lt;br /&gt;
## What do you think is going on? Remember how the MM measures voltage. &lt;br /&gt;
&lt;br /&gt;
This voltage sagging effect is the result of circuit loading. The MM bleeds off a small bit of the current and runs it through a very precise calibrated large value resistor (usually between 1MOhm and 10MOhms). When R2 is 1kOhm the MM bleeds off a very small fraction of the current that should have flowed through R2. Consequently, the measured voltage at Vout sags minimally. However, as R2 increases to values approaching the MM&#039;s &amp;quot;internal&amp;quot; resistance (or input impedance) the MM draws off larger and larger fractions of the current that should have run through R2. Consequently, the measured voltage at Vout sags substantially. &lt;br /&gt;
&lt;br /&gt;
The voltage divider and MM can be thought of as a two stage electrical device. The first stage does something and then &amp;quot;hands off&amp;quot; the result to the second stage which also does something.&lt;br /&gt;
&lt;br /&gt;
What can you say about the output impedance of a first-stage electronic device in relation to the input impedance of a second-stage electronic device?&lt;br /&gt;
&lt;br /&gt;
==== Unity Gain Non-Inverting Amplifier: The Follower or Buffer ====&lt;br /&gt;
The above consideration on instrumentation and loading naturally lead to a very useful OpAmp device. A follower (pictured at right) [[File:Follower.png|thumb|200px| The follower]] is a unity gain non-inverting amplifier. Why would anyone want this? It just reproduces what you&#039;ve already got. &lt;br /&gt;
&lt;br /&gt;
Well let&#039;s consider the follower&#039;s input and output impedances. From the second simple rule for OpAmps (see above) the input impedance (looking into the (+) OpAmp input) is &amp;quot;infinite&amp;quot; (well, very high anyway as it draws little to no current). The OpAmp&#039;s output impedance (looking from Vout to the (-) OpAmp input) is zero (or very nearly).&lt;br /&gt;
&lt;br /&gt;
So the follower has the useful properties that it&#039;s input impedance is &amp;quot;infinite&amp;quot; and it&#039;s output impedance is &amp;quot;zero&amp;quot;. This would have been a wonderful thing to have between the voltage divider stage and the MM stage in the previous section.&lt;br /&gt;
&lt;br /&gt;
# Redo the measurements of the previous section with the follower (or in this case it&#039;s maybe better to call it a buffer) in between the stages.&lt;br /&gt;
## Plot the new Vout vs. R2.&lt;br /&gt;
## Does Vout still sag with increasing R2?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==== RF Circuits and PCBs ====&lt;br /&gt;
&lt;br /&gt;
* Read Chapter 1 of &#039;&#039;RF Circuit Design&#039;&#039; by Chris Boswick (on bookshelf in lab).&lt;br /&gt;
# Why do discrete-component electronic circuits behave non-ideally at RF frequencies (&amp;gt;= 10MHz).&lt;br /&gt;
# What can be done about this?&lt;br /&gt;
# Build two discrete-component RLC tank circuit on a protoboard. One at resonant a (&amp;quot;low&amp;quot;) frequency (500kHz) and one at a (&amp;quot;high&amp;quot;) resonant frequency (30 MHz).&lt;br /&gt;
## Plot the Vout vs frequency of the  low-frequency tank circuit. Does it behave as expected?&lt;br /&gt;
## Plot the Vout vs frequency of the  high-frequency tank circuit. Does it behave as expected?&lt;br /&gt;
## Explain the two previous results.&lt;br /&gt;
# Create and populate a ground-plane PCB of the high-frequency tank circuit above. &lt;br /&gt;
## Plot Vout vs. frequency. &lt;br /&gt;
## Does it behave as expected? Why?&lt;br /&gt;
[[How_To_Make_a_PCB | Read this on PCB construction]]&lt;br /&gt;
&lt;br /&gt;
==== Optoelectronics ====&lt;br /&gt;
The electronic components considered above lie completely in the realm of &amp;quot;pure&amp;quot; electronics. In addition to these &amp;quot;pure&amp;quot; electronic components there exists hybrid components that blend the characteristics of electronics and optics. These are called optoelectronic (OE) components and include photodiodes (PDs), light-emitting diodes (LEDs) and laser diodes (LDs). We won&#039;t go into detail of what these OE components are but just look at how they behave. Suffice it to say, at this point, that the PD, LED and LD are all diodes and if you understand what a diode is you&#039;ll go a long way towards understanding these OE devices.&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Photodiode or photodetector:&#039;&#039;&#039; Photodiodes are very much like the diodes you encountered above with the exception that currents can be induced not only by biasing voltages but also by light (called the photo-current). Please read about photodiodes in Saleh &amp;amp; Teich&#039;s &#039;&#039;Fundamentals of Photonics&#039;&#039; sections 18.1, 18.3 and 18.4 (on bookshelf). [[File:PDsymbol.png|thumb|200px| Photodiode symbol]]&lt;br /&gt;
# Measure the &amp;quot;dark&amp;quot; forward I-V curve of Optek&#039;s [[Media:OP950.PDF| OP950]] PD (from 0-1.5V). That is, shield the PD from ambient room light while doing the measurement. &lt;br /&gt;
## Plot the dark forward I-V curve.&lt;br /&gt;
## How does it look compared to the &amp;quot;pure&amp;quot; electronic diode&#039;s forward I-V curve?&lt;br /&gt;
## At what voltage does the PD &amp;quot;turn on&amp;quot;. How does this compare with the &amp;quot;pure&amp;quot; diode&#039;s turn-on voltage?&lt;br /&gt;
## Now open up the PD to ambient room light and plot at the forward I-V curve again. Has it changed?&lt;br /&gt;
## Get a red LD module and shine laser light on the PD. Observe the forward I-V curve again. Has it changed?&lt;br /&gt;
## What can you say about the PD&#039;s I-V curve as a function of incident light power?&lt;br /&gt;
## Measure the dark reverse I-V curve of the PD between 0 and -25VDC.&lt;br /&gt;
## Open the PD to ambient light and redo the previous measurement.&lt;br /&gt;
## Shine the red laser light on the PD and repeat the measurement again.&lt;br /&gt;
## What can you say about the reverse I-V curve of the PD vs. incident light power?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Please read about light emitting diodes (LEDs) and laser diodes (LDs) in &#039;&#039;Fundamentals of Photonics&#039;&#039; sections 17.1 and 17.3.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Light Emitting Diode:&#039;&#039;&#039; [[File:Led.jpg|thumb|100px| [[File:LED_Symbol.png|thumb|100px| LED symbol]]Typical LED]]The PD above is a device that when light is incident on it a photocurrent is produced. The LED, on the other hand, is a device that when a (suitable) current is induced through it light is produced.&lt;br /&gt;
# Forward bias (positive voltages applied to the Anode) ANDOptoelectronic&#039;s [[Media:AND114-R.pdf| AND114-R]] LED between 0 and 2VDC.&lt;br /&gt;
## What happens as the voltage is increased?&lt;br /&gt;
## With a power meter measure the optical power as a function of forward current and plot.&lt;br /&gt;
## Are there distinct regimes of optical power output?&lt;br /&gt;
## With a spectrometer measure the optical power as a function of wavelength.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;The Laser diode:&#039;&#039;&#039; Laser diodes are similar to LEDs but in addition have optical feedback. Without going into detail, this [[File:LD.jpg|thumb|Typical LD|right|100px]]feedback greatly improves the optical characteristics of the LD (think of the difference between a flashlight and a laser pointer). &lt;br /&gt;
&lt;br /&gt;
[[Media:Lasers_en.jar | Download and run this laser simulation applet - Try to get the system to lase]]&lt;br /&gt;
&lt;br /&gt;
LEDs are fairly robust devices. You can mistreat them, within reason, and they&#039;ll still function (at least to some degree). LDs, on the other hand, are easily destroyed or damaged. &amp;lt;br&amp;gt;&lt;br /&gt;
* Static Electricity: The static electricity generated by walking across a carpet can (and usually does) destroy them. &lt;br /&gt;
* Reverse Bias Voltages: LDs (and LEDs too) are meant to operate in forward bias only. As such, they can be destroyed by applying too high a reverse bias to them (this reverse bias damage value is usually spec&#039;d). &lt;br /&gt;
* Rapid Current Changes: Abruptly cutting off (or turning on) a LD driving current can (and usually does) destroy the LD.&lt;br /&gt;
* Putting too much current through the LD (again, this usually does destroy the LD).&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
For all these reasons LD are usually operated within a protective circuit (see right).[[File:CCcircuit.png|thumb|400px|LD Constant Current (CC) Circuit]]&lt;br /&gt;
&lt;br /&gt;
There are two components you haven&#039;t seen yet. The [[Media:LM317.pdf|LM317 ]] and the square blue component (the pot) connected to the middle pin of the LM317. A pot or potentiometer is a variable resistor. It&#039;s got a knob or screw that can be turned to adjust its resistance.&lt;br /&gt;
&lt;br /&gt;
Let&#039;s discuss the parts of this circuit and what they do to help protect and operate the LD. The LM317 is a voltage regulator. The pot allows for adjusting the LD current and the resistors act to limit the maximum current. The &amp;quot;pure&amp;quot; electronic diode clamps any reverse biases (accidentally applied) to ~ 0.6V (which is below the reverse bias damage value). The capacitor suppresses static discharges or voltage transients and slows the LD turn-on/turn-off behaviour.&lt;br /&gt;
&lt;br /&gt;
In addition to the LD protection circuit always wear an [[Media:Antistaticwb.jpg|antistatic wrist band ]] when handling LDs. &lt;br /&gt;
&lt;br /&gt;
Also, it&#039;s always best to test your CC circuit with an LED first (LED is more robust - and cheaper) before trying it with the LD. &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The LD we&#039;ll use is LiteOn&#039;s [[Media:LTLD505T.pdf| LTLD505T]]. It has a center wavelength around 650nm, 5mW optical power, turn-on (or threshold) current around 35mA, operating current 45mA, operating voltage around 2.4V, max operating voltage 2.6V and max reverse voltage of  &lt;br /&gt;
2V.&lt;br /&gt;
&lt;br /&gt;
# Put together this LD CC circuit with V(-) at ground, V(+) at 7VDC, a 1K pot, , R = 30Ohms, C = 10&amp;lt;math&amp;gt;\mu&amp;lt;/math&amp;gt;f and a  P6KE6.8 diode (oriented the correct way).&lt;br /&gt;
## Test the CC circuit with an LED (cathode grounded).&lt;br /&gt;
## Does the circuit light up the LED? If yes, proceed. If not, troubleshoot the circuit.&lt;br /&gt;
## Replace the LED with the LD (remember to wear the antistatic wrist band).&lt;br /&gt;
## Does the circuit light up the LD? Is yes, proceed. If not, troubleshoot.&lt;br /&gt;
## With the power meter measure the optical power vs. LD current. What&#039;s the turn-on current? Is it close to the LD&#039;s spec&#039;d threshold current?&lt;br /&gt;
## What is the optical power at the operating current?&lt;br /&gt;
## Are there distinct optical regimes?&lt;br /&gt;
## How does the LD&#039;s threshold current relate to these regimes?&lt;br /&gt;
## With a spectrometer measure and plot the optical power vs. wavelength for currents just below threshold and well above threshold.&lt;br /&gt;
## Are these plots similar? Explain.&amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt;&lt;br /&gt;
* Submit a write-up outlining your activities, results and the answers to all the questions asked above.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE&#039;&#039;&#039;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Fiber_Simulations_with_RP_Fiber_Power&amp;diff=3639</id>
		<title>Fiber Simulations with RP Fiber Power</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Fiber_Simulations_with_RP_Fiber_Power&amp;diff=3639"/>
		<updated>2022-08-17T17:02:52Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;= RP Fiber Power 6 =&lt;br /&gt;
&lt;br /&gt;
RP Fiber Power is a script based simulation software designed by Dr. Rüdiger Paschotta. The software has a fairly minimal GUI but custom scripts can be written to simulate nearly any fiber system. For examples of possible simulations outside of the basic options, look at the demo folder (placed in the documents section of the computer with RP Fiber Power installed). A more detailed description of any of the demonstration scripts can be found the in the RP Fiber Power user manual.&lt;br /&gt;
&lt;br /&gt;
[https://www.rp-photonics.com/fiberpower.html RP Fiber Power Website]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
= Simulating Using the Provided GUI =&lt;br /&gt;
&lt;br /&gt;
== Input Tabs ==&lt;br /&gt;
&lt;br /&gt;
After opening the software there are multiple tabs displayed in form mode. Each of these tabs provide information for various graphical outputs, but the ones we were particularly interested in were the simulations related to power efficiency in the active length of fiber. &lt;br /&gt;
&lt;br /&gt;
Here we began inputting data into the &#039;Active&#039; tab. The amount of active fiber in use was put in the length section. &lt;br /&gt;
Number of steps in the z-direction corresponds to the resolution of the output, the more steps, the higher the resolution and longer the computation time. According the RP Fiber Power user manual, one way to determine a value for the resolution is sufficient is to run the script once with an order of magnitude higher and see if there is a difference. If there is no visible difference, then the number of steps is sufficient. If the parameters for the fiber are correctly set and defined in a text file, the parameters of your specific fiber may be left in terms of variables to later be filled in by the software. You are able to choose from a variety of fibers in the drop down at the bottom of the tab, or load a custom text file by placing it in the same directory as the other fiber data. If uploading a custom file, make sure to define all variables or be diligent about including all values in the GUI. &lt;br /&gt;
&lt;br /&gt;
[[File:Active.png|500px]]&lt;br /&gt;
&lt;br /&gt;
Next, we look at the &#039;Optical Channels&#039; tab. This is where information about your pump and signal wavelength and power can be edited along with the amplified spontaneous emission (ASE). In the GUI, you are able to input information about two pumps and two signals, though if a more complex set up is in use, more inputs and outputs can be added. If working with a simple system, only a few paramters in each tab need to be edited. This includes the operating wavelength and the input power. In this image, there is a small error, the intensity profile should be set as Gaussian. &lt;br /&gt;
&lt;br /&gt;
[[File:Pump.png|500px]]&lt;br /&gt;
&lt;br /&gt;
This tab is very similar to the previous pump tab. It may be useful to note that no input power is necessary unless you have external energy coming into your system at the signal point. &lt;br /&gt;
&lt;br /&gt;
[[File:Signal.png|500px]]&lt;br /&gt;
&lt;br /&gt;
Here you are able to see the wavelength range at which your active fiber can emit amplified spontaneous emission. The wavelength range define here is the range of the corresponding output graph. The step length corresponds to the resolution of the output. The number of propagation modes can be varied to simulate a real or ideal system. &lt;br /&gt;
&lt;br /&gt;
[[File:Ase.png|500px]]&lt;br /&gt;
&lt;br /&gt;
Again we switch tabs, this time to the &#039;Graphics&#039; tab. Here you are able to select a variety of graphs that the software will output upon running the script. For this example we selected three graphs to display, power versus position, an ideal case of fiber length versus pump and signal power, and the ASE spectrum. &lt;br /&gt;
&lt;br /&gt;
You are able to select which signal to display here. Though in this case we chose to view only the pump and signal power for the specified length of active fiber. &lt;br /&gt;
&lt;br /&gt;
[[File:Powervsposition.png|500px]]&lt;br /&gt;
&lt;br /&gt;
Here we are able to view the behavior of the pump and signal strength past what is observed on the &#039;Pump vs. Power&#039; graph. This graph can model any length of active fiber, to get an idea of how a particular system might behave over a long distance. &lt;br /&gt;
&lt;br /&gt;
[[File:Variationoffiberlength.png|500px]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Output Graphs ==&lt;br /&gt;
&lt;br /&gt;
Here is the standard pump versus signal graph corresponding to designated active fiber length from the &#039;Active&#039; tab.&lt;br /&gt;
&lt;br /&gt;
[[File:Final_active_fiber_length.png|500px]]&lt;br /&gt;
&lt;br /&gt;
This is an ideal setup. Though there would be other issues with having this length of active fiber, it is still good to understand the relationship between the pump and signal power over a long span. &lt;br /&gt;
&lt;br /&gt;
[[File:Variation_of_fiber_length.png|500px]]&lt;br /&gt;
&lt;br /&gt;
Understanding the ASE, both in the middle of the fiber and at the end of the fiber, helps to understand extra noise in spectrum measurements. &lt;br /&gt;
&lt;br /&gt;
[[File:Functional_ase.png|500px]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Background Script ==&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Here is the corresponding script for the input that is outlined above. It may be helpful to go over line by line to gain an understanding of what calculations are made to display these graphs. This can be viewed by selecting the &#039;Show Editors&#039; button. &lt;br /&gt;
&lt;br /&gt;
[[File:Pumpscript.png|1500px]]&lt;br /&gt;
&lt;br /&gt;
= Simulating with a Script =&lt;br /&gt;
&lt;br /&gt;
After becoming familiar with the interface to build some basic optical systems such as the power amplifier above, a deeper look into the managed code of RP Fiber Power will demonstrate the variety of applications for which it can be applied. In this example, we model the pump absorption in a double-clad fiber to show the necessary of mode-scrambling in the power amplifier.&lt;br /&gt;
&lt;br /&gt;
Begin by defining the wavelength of the pump and the properties of a double-clad fiber. In this case, we use an erbium-ytterbium doped fiber from [http://www.nufern.com/pam/optical_fibers/979/SM-EYDF-6_125-HE/ Nufern]. Here, the core radius is 3 micrometers, the cladding radius is 62.5 micrometers and the numerical apertures of the core and cladding are 0.18 and 0.46 respectively. We also define the index and the V number of the core and cladding. If working with different fiber designs, such as a D-shaped inner cladding, one can implement them into the refractive index profile by defining a limitation. In our case, we leave the cut, but set it equal to the radius of the inner cladding.&lt;br /&gt;
&lt;br /&gt;
[[File:DefiningtheFiber.png|500px]]&lt;br /&gt;
&lt;br /&gt;
The refractive index profile is constructed defining a variable for the radius and using an &amp;quot;if-then&amp;quot; statement which sets the index equal to the index of the core for when the radius is less than or equal to r_cor. Consequently, if the radius is greater than r_cor and less than the cut we defined above as y_cut, then the index is equal to the index of the cladding.&lt;br /&gt;
Similarly, the loss in the fiber is constructed by defining the loss in the core and a function for the loss in the cladding in terms of the radius. Using another &amp;quot;if-then&amp;quot; statement, the loss is set equal to the loss in the core for when the radius is less than or equal to r_cor, and the loss in the outer cladding is equal to (in our case) 1e3*(r-r_cl)/(10 um) for when the radius is grater than the inner cladding (r_cl).&lt;br /&gt;
&lt;br /&gt;
Before setting the grid parameters for the beam propagation, values can be set to be displayed in the output window by the &amp;quot;show&amp;quot; command. For example, we wish to display the core radius, cladding radius, numerical apertures, and V numbers below:&lt;br /&gt;
&lt;br /&gt;
[[File:outputwindow.png|150px]]&lt;br /&gt;
&lt;br /&gt;
It is now time to set the grid parameters that will determine the resolution, number of steps, and length of the fiber for the beam propagation. Define the maximum radius to be larger than the cladding to ensure the entire width of the cladding is taken into account. The number of points in the x and y direction of the fiber is taken to be large to ensure sufficient calculation and is set at 2^7. The spatial resolution is defined as the maximum radius divided by the number points in the x and y direction. We take the maximum z to be the total length of the fiber, remembering that the default unit in RP Fiber Power is meters. In our case, we set z_max:= 3000 mm with a longitudinal resolution of dz:=10 mm. The number of steps in the z direction is taken to be the total fiber length divided by the longitudinal resolution. Finally, the number of sub-steps at each dz can be set for further resolution in the z direction. Recognize that the more sub-steps involved for each dz will drastically increase the calculation time of the software.&lt;br /&gt;
&lt;br /&gt;
To model the incident beam profile, we begin by defining the beam size parameter and the normalized super-Gaussian function. The calculation for the beam profile requires a for loop that is quite involved, but a case study on the simulation with the loop can be found on the [https://www.rp-photonics.com/fiberpower_dcf.html RP Photonics software website].&lt;br /&gt;
&lt;br /&gt;
The last step is to calculate the beam propagation which combines everything that has been written to this point. We begin the calculation by setting the grid parameters, the index profile, the loss profile, initial amplitude, interpolation and increased anti-aliasing of the index profile.&lt;br /&gt;
[[File:propagation.png|400px]]&lt;br /&gt;
&lt;br /&gt;
We can graph the results of the field amplitude in the yz plane by setting diagram 1 with x axis from 0 to the fiber length x: 0, zmax/mm and the y axis from the bottom of the cladding to the top of the cladding y:-r_max/um to +r_max/um. The colors of both the loss and the power are set and information about the transmission can be portrayed on the graph by inserting the incident power transmission function in brackets, for example. The follow code and the graph output are displayed below.&lt;br /&gt;
&lt;br /&gt;
[[File:graphcode.png|500px]]&lt;br /&gt;
[[File:absorption.png|500px]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Optics_Obstacle_Course&amp;diff=3638</id>
		<title>Optics Obstacle Course</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Optics_Obstacle_Course&amp;diff=3638"/>
		<updated>2022-05-05T21:12:13Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Permanent Materials (located on optical breadboard or in storage cabinet): == &lt;br /&gt;
[[File:OOC.jpg|600px |right ]]&lt;br /&gt;
- Optics cleaning materials&amp;lt;br&amp;gt;&lt;br /&gt;
- Helium Neon laser &amp;lt;br&amp;gt;&lt;br /&gt;
- 4 mirrors &amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:Lenskit1.jpg | Telescope lens pair (Newport KPX.097 and KPX.085)]]&amp;lt;br&amp;gt;&lt;br /&gt;
- 3 irises and a pinhole&amp;lt;br&amp;gt;&lt;br /&gt;
- Quarter waveplate @633&amp;lt;br&amp;gt;&lt;br /&gt;
- Half waveplate @ 633&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:CM1-BS013.pdf | Non-Polarizing Beam Cube]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:QryYg.jpg | Polarizing Beam Cube]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DET110-SpecSheet.pdf |Thorlabs DET 110 photodetector]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DET10A-Manual.pdf | Thorlabs DET 10A photodetector]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:DET210-SpecSheet.pdf | Thorlabs DET 210 photodetector]]&amp;lt;br&amp;gt;&lt;br /&gt;
- Various optomechanics (mirror mounts, lens holders, baseplates, etc)&amp;lt;br&amp;gt;&lt;br /&gt;
- Beam block/alignment tools&amp;lt;br&amp;gt;&lt;br /&gt;
- Hecht &#039;&#039;Optics&#039;&#039; book&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Materials to borrow when necessary ===&lt;br /&gt;
- Oscilloscope&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:SRS_CHopper.jpg | Chopper]]&amp;lt;br&amp;gt;&lt;br /&gt;
- [[Media:Powermeters.png | Power meter]]&amp;lt;br&amp;gt;&lt;br /&gt;
- Extra optics as needed&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
=== Activities ===&lt;br /&gt;
You should have the necessary tools at your disposal to complete the following. Instructions are intentionally a bit sparse to encourage thoughtful exploration of the system. The left-hand-side of the optical breadboard is permanent storage for the optics (leave the bases and post holders where they are), and the right-hand-side contains optomechanics you can use in positioning elements in the &#039;sandbox&#039; area.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
Make sure that all the optical components (waveplates, beamcubes, etc.) are designed to work at your laser&#039;s wavelength. &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE&#039;&#039;&#039; &amp;lt;BR&amp;gt;&amp;lt;BR&amp;gt; &lt;br /&gt;
Keep a journal of your activities, results and answers to any questions asked in the activities below. You will use this for your brief write-up. If any step in the activities below is unclear or you do not completely understand something ask the instructor or TAs for help &#039;&#039;&#039;before moving on&#039;&#039;&#039;.  &amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
# Read laser safety, optics common sense, optics hardware info (pages 1-19 of the ebook &amp;quot;&#039;&#039;Laboratory Optics - A Practical Guide To working in an Optics Lab&#039;&#039;&amp;quot;).&amp;lt;br&amp;gt; Throughout this exercise, please make an effort to never allow the laser or any reflection/retroreflection leave the boundary of the optical table&lt;br /&gt;
# &#039;&#039;&#039;Very Important: Get a demonstration/lecture from the instructor or TAs on the proper handling and cleaning of optics. Do not proceed until this is done.&#039;&#039;&#039;&lt;br /&gt;
# Read pages 20-31 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Read about polarization in the Hecht &#039;&#039;Optics&#039;&#039; book. [[Media:Optics_polarizer.jar | Download and run this applet to explore polarizers]]. Use two mirrors to set the beam height to a level 4” above optical table.  Is the light polarized? If not, polarize it, aligning the axis of polarization vertically. &lt;br /&gt;
# Read about Brewster&#039;s angle in Hecht. [[Media:Waves_brewster.jar | Download and run this applet to explore Brewster&#039;s angle.]]&lt;br /&gt;
# Use a glass microscope cover slip on a rotation stage and the laser horizontally polarized to measure Brewster&#039;s angle (based on power and/or polarization measurements). From the measured Brewster&#039;s angle calculate the cover slip&#039;s index of refraction. Calculate the Brewster&#039;s angle assuming a glass index of refraction of 1.5. Does your measured Brewster&#039;s angle agree?&lt;br /&gt;
# Read sections 3.1-3.5 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Use mirrors to pass beam through two irises (or two beam alignment cards), aligned along a row of holes on the table. &amp;lt;br&amp;gt;You now have a level beam with set polarization that is pointing in a known direction. This is an appropriately initialized optical setup. &lt;br /&gt;
# Read sections 4.1-4.3 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Measure the power of the beam using two techniques: a power meter; and the Thorlabs photodetector and an oscilloscope (for this second method, you&#039;ll need to look up the responsivity curve on the detector datasheet). These two measurements should be in reasonable agreement. If they&#039;re not consult with the instructor or TAs for help. Make sure you&#039;re operating the power meter correctly. That is, use the correct power-meter detector head for your wavelength and set the power meter to your specific wavelength. Also make sure you&#039;re using an appropriate (electrical) power supply (rated at the correct voltage/current) for the power meter.&lt;br /&gt;
## If the photodetector appears to be saturating (detector&#039;s output voltage at spec&#039;d maximum), you will need to use neutral density filters to reduce the power.&lt;br /&gt;
## For insight to what the numbers on the filters mean, measure the Optical Density (OD) of the blue laser goggles at the HeNe wavelength &amp;lt;br&amp;gt;&amp;lt;math&amp;gt;P_{out}=P_{in}\,10^{-OD}&amp;lt;/math&amp;gt;&lt;br /&gt;
Read about half and quarter waveplates (also called retarders in Hecht&#039;s &#039;&#039;Optics&#039;&#039;) before doing the following:&lt;br /&gt;
[[Media:Em wave polarization simulation.jar | Download and run this optical polarization applet.]] Try to create circular and elliptical polarization. If you have trouble ask the instructor to help.&amp;lt;br&amp;gt;&lt;br /&gt;
## How does vertically polarized light interact with the polarizing beamsplitter cube? Use the half waveplate to rotate the axis of polarization to be horizontal. Now what happens with the cube? Finally, rotate the axis of polarization to be 45 degrees from vertical&lt;br /&gt;
##Align the axis of the quarter waveplate so that the beam is circularly polarized. How do you know it’s circular and not elliptical?&lt;br /&gt;
#Build a 1:2 telescope to expand the beam&lt;br /&gt;
# Use a 200 micron pinhole, the photodiode and a translation stage (scan the beam in the transverse direction) to measure the 1/e width of the collimated laser beam.&lt;br /&gt;
## Draw a simple ray diagram to estimate the magnification you expect for the two supplied lenses&lt;br /&gt;
## Be sure to position the lenses so the beam is centered (hint: you should do this by observing the output beam location, not merely by eyeballing where the beam hits the lens)&lt;br /&gt;
## Ensure collimation after second lens. Does the magnification match your prediction?&lt;br /&gt;
# Place a (suitably chosen - ask instructor) pinhole at the focus of the telescope. Read about Gaussian Laserbeams in &#039;&#039;Hecht&#039;&#039; pages 617 to 619. Pay especial attention to the concepts of spot size and Rayleigh range. What is the spot size (take measurements)? What is the Rayleigh range (take measurements)?&lt;br /&gt;
# Focus light onto a small (silicon) photodiode (e.g., Thorlabs DET 10A). Use a chopper in between a two-lens telescope and an oscilloscope to measure the [https://en.wikipedia.org/wiki/Rise_time rise time] of the small diode. Do the rise time measurement again with a larger (silicon) photodiode (e.g., Thorlabs DET 110). Compare the two measured rise times. Are they different? Can you explain? Note: When using the chopper, use a short focal length converging lens to focus the beam (to a small spot) in the plane of the chopper and another lens to re-collimate the beam after the chopper. If this doesn&#039;t make sense ask the TA or instructor to explain.&lt;br /&gt;
# Use a polarizer and a quarter waveplate to create a &amp;quot;[https://www.rp-photonics.com/spotlight_2010_06_09.html poor man&#039;s]&amp;quot; optical isolator. Why would this be useful?&lt;br /&gt;
# Use a polarizing beamsplitter and a quarter waveplate to make a (slightly) better optical isolator.&lt;br /&gt;
# Discuss the drawbacks of the previous two types of isolators. Read about an even better type of [https://www.rp-photonics.com/faraday_isolators.html isolator] that employs a Faraday rotator.&lt;br /&gt;
# Use a mini fiber-coupled spectrometer to obtain the center wavelength and an upper bound on the linewidth of the laser. Have a discussion with the TA or instructor about the concept of linewidth.&lt;br /&gt;
# Read sections 5.1-5.4 of &#039;&#039;Laboratory Optics&#039;&#039; ebook.&lt;br /&gt;
# Read about a Michelson interferometer in Hecht &#039;&#039;Optics&#039;&#039;. [[Interferometers | See this page for more infomation]]. Build a Michelson interferometer (with a non-polarizing beamsplitter) and measure the laser wavelength. Now use the Michelson to measure the index of refraction of 1) a glass microscope slide and 2) an unknown optical material (ask instructor). (Leave the Michelson set up for next activity)&lt;br /&gt;
# Read about coherence theory in Hecht&#039;s &#039;&#039;Optics&#039;&#039; Chpts 12.1, 12.2 and 12.3. Measure the laser&#039;s coherence length (ask instructor or TA for help).&lt;br /&gt;
# Fabry-Perot (FP) cavities: Read about FP cavities in &#039;&#039;Hecht&#039;&#039; sections 9.6 and 9.6.1. Pay attention to the concepts of Finesse, Free Spectral Range (FSR) and Resolution.&lt;br /&gt;
## Use the [http://www.gwoptics.org/finesse/ &#039;&#039;Finesse/Luxor&#039;&#039;] software package (already downloaded and located in the user&#039;s home directory on lab computer &#039;&#039;hank&#039;&#039; - run Luxor.jar in the FinesseLuxor directory) to simulate a FP cavity. Explore how the cavity Finesse, FSR and Resolution depend upon the mirror reflectivity and mirror spacing.&lt;br /&gt;
## Assume the cavity mirrors are planar with a power (not amplitude) reflectivity of 90% (R = 0.9). Calculate the cavity finesse assuming an on-axis light beam.&lt;br /&gt;
## Construct a plane-mirror Fabry-Perot with a Free Spectral Range (FSR) of 500MHz and a Finesse &amp;gt;= 20. What is the cavity resolution?&lt;br /&gt;
## Construct a plane-mirror Fabry-Perot with a Free Spectral Range (FSR) of 1 GHz and a Finesse &amp;gt;= 20. What is the cavity resolution?&lt;br /&gt;
## Is the finesse of your cavity equal to the calculated finesse? If not, why?&lt;br /&gt;
## What are the practical limits on the achievable finesse? In other words, what is the limit of achievable cavity resolution?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
#Aberrations: Read &#039;&#039;Hecht&#039;&#039; Chpt 5.1, 5.2, 5.2.1, 5.2.2, 6.3.1, 6.3.2, (stopping at page 272). Pay especial attention to the concepts of &amp;quot;diffraction-limited&amp;quot;, &amp;quot;aspherical surfaces&amp;quot;, &amp;quot;spherical surfaces&amp;quot;, &amp;quot;optical axis&amp;quot;, &amp;quot;aberrations&amp;quot;, &amp;quot;paraxial rays&amp;quot;, &amp;quot;Gaussian optics&amp;quot;, &amp;quot;Seidel aberrations&amp;quot;, &amp;quot;spherical aberration&amp;quot;, &amp;quot;circle of least confusion&amp;quot;, &amp;quot;coma&amp;quot;, &amp;quot;astigmatism&amp;quot;, &amp;quot;field curvature&amp;quot;, &amp;quot;distortion&amp;quot;, &amp;quot;chromatic aberrations&amp;quot;.&lt;br /&gt;
## What type of lens surface will take all rays falling on its surface and focus them to the same point?&lt;br /&gt;
## How can a spherical lens be used so that the Seidal aberrations are minimal?&lt;br /&gt;
## [[Media:spherab.cdf | Download and run this Optica-based CDF file to demonstrate the effects of spherical aberration.]]&lt;br /&gt;
## [[Media:Seidel_Aberrations.nb | Download and run this &#039;&#039;Optica&#039;&#039; notebook (detailing Seidel aberrations in &#039;&#039;Mathematica&#039;&#039; on lab computer hank)]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
- Debrief with the instructor concerning your efforts, observations and measurements of the obstacle course.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
After you finish, please return items to the storage location and clear the &#039;sandbox&#039; area.&amp;lt;br&amp;gt;&lt;br /&gt;
* &#039;&#039;&#039;CLEAN UP THE OBSTACLE COURSE SETUP AFTER USE&#039;&#039;&#039;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Multimeters&amp;diff=3637</id>
		<title>Multimeters</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Multimeters&amp;diff=3637"/>
		<updated>2022-04-01T21:16:36Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* AC Signals, frequency response */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This module will teach you about how to use the Fluke 179 True RMS multimeter. Details on this multimeter can be found in its [http://media.fluke.com/documents/2155a.pdf data sheet] (or [http://media.fluke.com/documents/175_____umeng0100.pdf manual]). While the module is designed around a specific multimeter, knowledge gained below should transfer to other multimeters. This module should also function as a brief refresher on circuit design.&lt;br /&gt;
[[File:Fluke.jpg|400px|thumb|right|Mulimeter and accessories ]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
You&#039;ll learn more about the [[Power Supplies | Power Supply]] and [[Function Generators and Oscilloscopes | Function Generator]] in another module, but we&#039;ll need a minimum of functionality from them to make measurements with the multimeter, so their operation is described in unnecessarily detailed form.&lt;br /&gt;
&lt;br /&gt;
This module is part of the [[General Lab Equipment Obstacle Course]]&lt;br /&gt;
&lt;br /&gt;
== Equipment ==&lt;br /&gt;
&lt;br /&gt;
For this module, you will need:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DP1308A DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DG1022 Function Generator (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; An assortment of short wires&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Resistors: 10ohm, 500ohm, 1kohm, 2kohm (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Capacitors: 1nF, 1uF, three 270uF (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A diode: one 1N4148  (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A breadboard (or protoboard) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC-Banana Plug Adaptor (with male BNC plug)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC Cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Temperature Sensor (Thermocouple)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Measuring voltages ==&lt;br /&gt;
Connect two probes to the right most inputs to the multimeter. I would recommend using probes with pointed tips or alligator clips at the end. The bottom input is the common/ground input and the upper right input is the voltage/resistance/diode. input. For simplicity, I&#039;ll refer to the probe connected to the voltage/resistance/diode input as the &amp;quot;red&amp;quot; probe and the probe connected to the ground input as the &amp;quot;black&amp;quot; probe. Turn the dial on the multimeter so that it points to V (with a line/dashed line over it) . This mode measures constant (DC) voltages, or will measure the RMS voltage of an alternating current. It measures the voltage difference between the top input and the common input (Vmeas = Vtop - Vbottom). &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;To verify this, touch your two probes together. What does the meter read? Does this make sense? What is the voltage difference between two points without any resistance between them?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now, turn on the power supply. Hopefully, the yellow box on the screen will be highlighted. If not, press the +25V button on the power supply (above the yellow line) to change to that output. Press the left most button under the screen, so that VOLT is highlighted. This will give you control over the voltage output of the power supply. You can verify this by seeing that one of the numbers in the voltage box has turned white.&lt;br /&gt;
&lt;br /&gt;
Connect the positive output of the power supply (yellow) to one row of inputs on the breadboard and the common output of the power supply (labelled as &amp;quot;COM&amp;quot;) to another row. Between these two rows, plug in the 1kohm resistor.&lt;br /&gt;
&lt;br /&gt;
Turn on the yellow output by pressing the center ON/OFF button (under the yellow box). The black OFF box at the top of the yellow window should change to a green ON box. Use the right/left arrows on the directional control buttons to highlight the tenths digit of the voltage line. Use the up/down buttons to change the voltage output to 00.50V. The box should be out putting half a voltage now.&lt;br /&gt;
&lt;br /&gt;
[[File:Voltmeter.png|frame|right|Voltage Measurement|300px]]&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; To verify this, touch the red probe to one end of the 1kohm resistor and the black probe to the other end. What does the multimeter read (as shown to the right)? If it reads 0.00, make sure the connections to the power supply are secure.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; If you flip the locations of the probe, what do you think will happen? Take a guess, then try it.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Replace the 2kohm resistor with the 500ohm resistor and 2kohm resistor in series (that is, end-to-end so current flows through one and then the other). &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Using your knowledge of resistors in series, what do you think the voltage dropped across the 500ohm resistor will be? What about the 2kohm resistor?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage across each resistor separately (place the probes on either side of one resistor, then on either side of the other). Were your guesses correct?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the dial on the multimeter to the mV symbol with the line and dashed line over it. This is the millivolt measuring mode. It measures voltages the same as the voltage mode, but it reports results in millivolts and gives more accurate measurements for small voltages. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;6&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltages across the resistor pairs again. Do you get what you&#039;d expect in mV?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Measuring current ==&lt;br /&gt;
To measure current, you need to use either of the left inputs and the common input to the multimeter. Both of the left inputs measure currents that flow INto these inputs and then OUT of the common input (black probe). This means the multimeter must be in-line with the current to measure it. The top-left input measures currents up to 400mA and the bottom one can measure currents up to 10A. The dial on the multimeter must be turned to the A (with line and dashed line) setting or the mA (with line and dashed line) setting. Like voltage, one will measure in A and the other in milliamps. &lt;br /&gt;
&lt;br /&gt;
Change the multimeter to the milliamp setting. You&#039;ll note that on the right side of the screen, it will say &amp;quot;AC&amp;quot; under the unit listing (&amp;quot;mA&amp;quot;). Then, the meter will tell you the RMS current of an AC signal. This isn&#039;t what we want. Press the yellow 2nd button. The multimeter will beep and change to &amp;quot;DC&amp;quot; mode. This will report the DC current that flows through the multimeter. Use the same 0.50V output of the Rigol Dp1308A power supply as discussed above.&lt;br /&gt;
&lt;br /&gt;
[[File:Ammeter.png|frame|right|Current Measurement|300px]]&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Based on what you know about electronics, how much current should traveling through the resistors? &lt;br /&gt;
&amp;lt;li&amp;gt; As mentioned above, current measurements are done in-line. To do this, break the connection between the two resistors. Touch one multimeter probe to the free end of one resistor and the other probe to the free end of the other resistor (as shown to the right). Does the reading agree with your prediction?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Switch the probes. How does the current measurement change? Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now, put the 1kohm and 2okhm resistors in parallel between the power supply lines. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the total current drawn from the power supply. To do this, attach one multimeter probe to the the output of the power supply and the other probe to the ends of both resistors. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now measure the current through just one of the resistors in parallel. To do this, unattach one resistor from the probe and attach the free end directly to the power supply line.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Using what you know about current, predict the current in the other resistor. Then measure it. does your measurement match your prediction?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Because current is actually running through the multimeter (and the meter costs upwards of $350), it must be protected against too much current. This is done with a fuse located in the back of the multimeter. &lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Each current input has a different fuse. According to the multimeter&#039;s datasheet, what is the maximum current for each input before the fuse is blown?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Measuring resistance and testing for continuity ==&lt;br /&gt;
The multimeter can be used for measuring resistance and for testing line continuity, that is checking that two points in a circuit are connected electrically.&lt;br /&gt;
&lt;br /&gt;
Resistance measurements are straight forward. Attach the black probe to the common input (lower right) and the red probe to the voltage/resistance/diode input (upper right). Turn the dial to the resistance setting (capital greek letter Omega, Ω). Touch the probe ends to two points and the meter will read the resistance between the two probes.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Without the probes touching, what does the meter read? 0L stands for No Load - there is no electrical contact between the two probes. Technically, the multimeter can measure resistances up to 50Mohm, so 0L really indicates the resistance is greater than this value.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think the multimeter will read if you touch the two probes together? Try it. Does your answer agree with the probe? A non-zero resistance is okay, as long as it is very close to one. The probe can report resistances down to 0.1 ohm, so hopefully your result is close to that.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes to both sides of each resistor. Do the resistances that multimeter gives you agree with what the resistors say their resistances are? If not, does the multimeter measurement agree to within the tolerances listed by the resistors?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Combine some resistors in parallel and series. Calculate what you believe the total resistance should be with a given combination. Does the multimeter agree with your calculation?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The continuity test is similar to the resistance test. The multimeter will beep if there is electrical contact between the probes and the meter will report the resistance between the probes. Turn the dial to the symbol that looks like 4 right parentheses to use that mode.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes together. What did the meter do?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes to either side of the 1kohm resistors. What did the meter do?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes to either side of the 10ohm resistor. What did the meter do?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The continuity mode is nice as you do not need to read anything, you can just listen for the beep. This is a good way to tell if components are connected correctly while soldering. However, as you hopefully observed, even if there is some resistance between the points the meter can beep - the  multimeter&#039;s manual says that you will get a beep for resistances below 25ohm. This is sometimes problematic and you should instead measure the resistance. For example, if you think you have broken a resistor by running too much current through it, the resistor may still have some resistance and not trigger the multimeter&#039;s continuity test, but it&#039;s resistance has still fallen below what you need it to be for your application. Just relying on the continuity test to tell you if the resistor is good or bad is not sufficient.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Diode check ==&lt;br /&gt;
The multimeter can be used to check diodes. Turning the dial to the continuity test mode (4 right parenthesis) then press the yellow 2nd button until a diode symbol appears on the screen. The red probe should be in the Voltage/Resistance/Diode input (top right). Touching the red probe to the annode side of the diode and the black probe to the cathode side of the diode should result in a beep from the multimeter, if the diode is functioning correctly.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Test that your diode functions correctly. Flip the probes, and check that the fluke does not beep.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; If the multimeter has an extended beep, the diode is bad and there is a short in it. You can simulate this by touching the two probes together.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;When testing the diode and it beeps, the multimeter will show a voltage on the screen. What do you think this voltage is? &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Unsure? Look through the diode&#039;s datasheet (available [http://www.vishay.com/docs/81857/1n4148.pdf here]). &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Still not sure? Warm the diode by squeezing it between your fingers. How does the voltage measurement change as the diode heats up? Are there any properties of the diode that the data sheet indicates should change in the same way with temperature that you are observing?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== AC Signals, frequency response ==&lt;br /&gt;
For this portion, you will need to use the Rigol DG1022 function generator. Turn it on and press the two output bottons (on the right side) so that only the bottom one is lit, this turns on only channel 1. This should be reflected on the display with &amp;quot;ON&amp;quot; written in the top right of box for channel 1 and &amp;quot;OFF&amp;quot; in the box for channel 2. If channel 2 has a black background on the display, press the CH1|CH2 button (just to the left of the 0 in the number pad) to change which channel you are adjusting. Press the left most blue button under the display to select frequency setting mode. Use the dial (and the right/left arrow buttons next to it) to change the frequency to be 4kHz.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the 2nd (from the left) blue button under the screen to change the amplitude of the signal. The amplitudes are given in peak-to-peak voltage, this is the voltage between the bottom of the wave and the top of the wave. How does this compare to the amplitude of the wave? Set the function generator to produce a wave with an amplitude of 0.5V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Press the &amp;quot;Sine&amp;quot; button in the bottom left corner of the function generate to create a sine wave output from the function generator. &lt;br /&gt;
&lt;br /&gt;
Unplug probes from the multimeter. Plug the BNC-banana plug adaptor into the two right side multimeter inputs. The banana plug with an extra &amp;quot;tab&amp;quot; on its side should go into the COM input.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Turn the dial to the V with a &amp;quot;~&amp;quot; above it. This puts the multimeter in RMS voltage measuring mode. BEFORE you measure the output of the function generator, calculate what RMS voltage you expect from a sine wave with an amplitude of 0.5V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Voltages are output from the BNC connectors on the right side of the function generator. Connect the output for channel 1 (lower one) to the multimeter. Does the RMS voltage that the multimeter agree with your answer above?&lt;br /&gt;
&amp;lt;li&amp;gt; Try reading the RMS voltage at a number of different frequencies. Make a plot of these voltages in a spreadsheet program (the lab computers have LibreOffice Calc on them). Look at frequencies in steps of 300Hz between 300Hz and 3kHz, then in steps of 500Hz up to 15000Hz. &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Try plotting the data as a gain vs frequency plot: plot the y-axis in decibels (i.e. plot 10*log[Vrms/Vrms(300Hz)]) and put the x-axis in in logarithmic scaling.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is there some range in which the measured RMS frequencies are close to your estimate for the RMS voltage? Is the multimeter &#039;good&#039; at reading voltages at high or low frequencies? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Does the range you find agree with the &amp;quot;Accuracy Rating&amp;quot; range for measuring AC voltages as claimed in the multimeter&#039;s datasheet.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Based on your graph, would you believe the multimeter&#039;s AC readings act as a high-pass or low-pass filter? What is the time-constant for the meter based on your data? &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Does your gain vs frequency graph look similar to the same graphs on the wikipedia pages for low- and high-pass filters?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The multimeter can also read frequency.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;8&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Set the amplitude of the sine wave to be 2.5V. Press the yellow 2nd button while in RMS voltage mode. Does this frequency agree with what you set the function generator to? Change frequencies and verify these are performing correctly.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How large can you make the frequency before the multimeter stops performing correctly? Is this about the correct range that the multimeter&#039;s data sheet gives?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Put the multimeter back into RMS voltage mode (press the yellow 2nd button again) and decrease the frequency so the voltage reading is valid. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;10&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Unplug the BNC-banana plug adaptor and flip it around, so the plug with the GND tag is in the voltage/Resistance/Diode input of the multimeter. Does that change your RMS voltage reading? Does how it changed make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The function generator can output other waves than just sine waves - and the multimeter should be able to measure them. What kind of RMS voltage would you expect for a square wave with an amplitude of 0.5V? What about for a triangle wave?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;11&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the Square Wave button next to the sine wave button. This should create a square wave output. Does the RMS voltage agree with what you&#039;d expect for a square wave? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The ramp output of the function generator (next to the square wave button) makes a triangle wave. Does the RMS voltage you measure agree with your prediction?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Put the multimeter into frequency measuring mode and see if it can measure the frequency of square waves and ramps.&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The multimeter can also measure RMS current. To do this, you must have the probes set up correctly to measure current  and the dial should be set to one of the current modes (see above). The current mode defaults to AC mode, so it with report the RMS current through the multimeter automatically (recall we had to press the yellow 2nd button to read DC currents earlier). If you press the yellow 2nd button twice (so that &amp;quot;Hz&amp;quot; appears on the display), you will be able to measure the frequency of the current.&lt;br /&gt;
&lt;br /&gt;
== Capacitance ==&lt;br /&gt;
The multimeter can read capacitor capacitance. Turn the dial to the Omega, Ω, symbol, then press the yellow 2nd button to get to capacitance mode. The probes should be in the two right-most inputs.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the measured capacitance with the bare probes (hold them apart from each other in front of you)? Does this make sense? (Try assuming that the probes are two parallel plates with air in between them).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes together? What is the reading? Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Connect one of the 470uF capacitors to the probe leads. What does the multimeter measure? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Try a number of 470uF capacitors. Do they read what they should? Look at the datasheet for the multimeter. Does the measured capacitance agree to within the multimeter&#039;s accuracy? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Here is the [http://www.alliedelec.com/images/products/datasheets/bm/ILLINOIS_CAPACITOR/70111676.pdf datasheet] for the capacitors. What is the accuracy of their capacitance? Does that agree with the multimeter&#039;s readings&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the capacitance of the 1uF capacitor. Press the black &amp;quot;range&amp;quot; button to cycle through the different range settings of the multimeter. If the display reads &amp;quot;OL&amp;quot;, the measurement is beyond the upper limit of the range. Which range gives you the more precise measurement? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Flip the probes on the leads of the capacitor. Does the measurement change? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now measure the 1nF capacitor. Measurements of O indicate the reading is below the lower limit of the range. Press the range button until you get to the nF setting.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Clamp meter ==&lt;br /&gt;
Clamp meters measure current without needing to interrupt the circuit. The clamp meter is pictured on the far left of the Multimeter and Accessories picture at the top of the page.&lt;br /&gt;
&lt;br /&gt;
To use a clamp meter, place a wire through the loop on the top of the meter and move the slider to the A setting. The current that runs through the loop at the top of the meter will be displayed. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The lab&#039;s clamp meter, a Greenlee CM-450, can only read currents down to 0.4A. If we are to measure 0.4A of current through the 500ohm resistor, what voltage do we need?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Most resistors can deal with about 0.25W of power dropped in them before breaking (&amp;quot;letting out the magic blue smoke&amp;quot; in electronics terms). What would the power loss be if we ran 0.4A of current through the 500ohm resistor? What about with a 10ohm resistor? Should we try that?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;The clamp meter will measure the total current that runs through the loop. What do you expect the meter will read if it is placed around a run-on-the-mill power cable, say for the computer you&#039;re reading this on? Why?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Because of the limitations on low-end current measurements, the clamp meter is mostly useful only for high-voltage power source. It is also useful as it does not require interacting with the high voltage (and often high current) electricity directly.&lt;br /&gt;
&lt;br /&gt;
== Temperature Measurements ==&lt;br /&gt;
This multimeter can also measure temperature with a thermocouple. The thermocouple should have a plug for the right two inputs of the multimeter. Plug those with appropriate colours matching. It is pictured in the bottom-right corner of the Multimeter and Accessories image at the top of the page.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Turn the dial to the DC mV setting and press the yellow 2nd button to go to temperature mode. Is that correct(ish)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the RANGE button on the multimeter to switch between measuring in Fahrenheit and Celsius. Now squeeze the (silver exposed) end of the thermocouple in your hand. How does the temperature change. Try breathing on the thermocouple. How does the temperature change? Does that make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Flip the thermocouple&#039;s plug around. Do you get the same temperature reading? What happens when you breath on it?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
We do not recommend inserting the thermocouple into your body anywhere. You should also not place the thermocouple into any liquids.&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Communications&amp;diff=3636</id>
		<title>RF Communications</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Communications&amp;diff=3636"/>
		<updated>2022-02-18T16:54:45Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* RF communications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== RF communications ==&lt;br /&gt;
&lt;br /&gt;
Types of Modulation: Amplitude Modulation (AM), Single Side Band (SSB), Frequency Modulation (FM), &lt;br /&gt;
		     Phase Modulation (PM)&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Modulation Type: AM&amp;lt;br&amp;gt;&lt;br /&gt;
1.0) Choose frequency/wavelength of interest.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
2.0) Build and test two 1/2 wavelength dipole antennas (send and receive).&amp;lt;br&amp;gt;&lt;br /&gt;
2.1) Input appropriate RF carrier frequency into transmitting antenna (sine wave of ~ 1Vpp).&amp;lt;br&amp;gt;&lt;br /&gt;
2.2) Attach oscilloscope to reveiving antenna and observe transmitted RF carrier wave.&amp;lt;br&amp;gt;&lt;br /&gt;
2.3) Attach RF carrier to LO port of mixer and another sine wave (~ few MHz at 1Vpp) to IF port &lt;br /&gt;
	of mixer. Attach the mixer&#039;s RF port to the transmitting antenna (this is &amp;quot;upconversion&amp;quot;).&amp;lt;br&amp;gt;&lt;br /&gt;
2.4) Observe the modulated RF carrier with an oscilloscope attached to the receiving antenna.&amp;lt;br&amp;gt;&lt;br /&gt;
2.5) Is the carrier frequency clearly present (use o-scope&#039;s FFT function to observe)?&lt;br /&gt;
	Are the side bands clearly present and at the correct frequency offsets? Vary the &lt;br /&gt;
	modulation frequency of the sine wave sent to the mixer&#039;s IF port. Do the RF &lt;br /&gt;
	sidebands follow suite?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Types of receivers: Homodyne (or Direct Conversion), Heterodyne, Superheterodyne&amp;lt;br&amp;gt;&lt;br /&gt;
	If the LO input to the receive-side mixer is of the same frequency as the LO on the send side &lt;br /&gt;
	you have a homodyne or direct-conversion receiver (if not, you have a heterodyne receiver). &lt;br /&gt;
	If the IF on the receive side is above audible frequencies an additional mixer is&lt;br /&gt;
	required to bring the IF down to audible frequencies (this is known as a superheterodyne &lt;br /&gt;
	receiver - the &amp;quot;super&amp;quot; refers to &amp;quot;super audible&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
[[File:HomodyneReceiver.png|600px]]      [[File:SuperHeterodyneReceiver.png|800px]]&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
[[File:HeterodyneReceiver.png|600px|center]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
3.0) Use two mixers and suitable fxn generators and filters to mod/demod audio frequency (AF ~ a few kHz) on an RF carrier.&lt;br /&gt;
	Use one mixer on the receiving side to build a homodyne receiver (this is called &amp;quot;downconversion&amp;quot;). &amp;lt;br&amp;gt;&lt;br /&gt;
3.1) Observe AF on the o-scope.&amp;lt;br&amp;gt;&lt;br /&gt;
3.2) Send and receive various audio tones (use a speaker and amplifier on the receive side to&lt;br /&gt;
	hear the AF tones).&amp;lt;br&amp;gt;&lt;br /&gt;
3.3) Attach microphone and amplifier to IF port of transmitting system.&amp;lt;br&amp;gt;&lt;br /&gt;
3.4) Send and receive voice.&amp;lt;br&amp;gt;&lt;br /&gt;
3.5) Build a heterodyne receiver. Repeat steps 3.1-3.4. &amp;lt;br&amp;gt;&lt;br /&gt;
3.6) Build a superheterodyne receiver. Repeat steps 3.1-3.4. &amp;lt;br&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
4.0) Using the superheterodyne receiver, build an RF pre-selection bandpass (BP) filter between the antenna and the mixer on the receive side &lt;br /&gt;
	(centered on the RF carrier with appropriate bandwidth).&amp;lt;br&amp;gt;&lt;br /&gt;
4.1) Build preamp between the pre-selection filter and the receive mixer (gain ~ 100).&amp;lt;br&amp;gt;&lt;br /&gt;
4.2) Build an IF filter then a low noise amplifier (LNA) between the first mixer&#039;s IF port and the second mixer. &amp;lt;br&amp;gt;&lt;br /&gt;
4.3) Build an AF filter and power amp between the second mixer and the speaker. &lt;br /&gt;
	(choose bandwidth wisely ~ 300-3kHz)&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
* FM mod/demod - Build transmit/receive circuits&lt;br /&gt;
* Direct Conversion I/Q Software Defined Radio (SDR) - DAQ/Labview interface&lt;br /&gt;
&lt;br /&gt;
** Digital modes???* FM mod/demod - Build transmit/receive circuits&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Equipment: wire for antennas, wood for support, BNC connectors, solder, mixers (at least double balanced), fxn gens&lt;br /&gt;
and filters, speaker, amplifier&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Communications&amp;diff=3635</id>
		<title>RF Communications</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Communications&amp;diff=3635"/>
		<updated>2022-02-17T19:17:01Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* RF communications */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== RF communications ==&lt;br /&gt;
&lt;br /&gt;
Types of Modulation: Amplitude Modulation (AM), Single Side Band (SSB), Frequency Modulation (FM), &lt;br /&gt;
		     Phase Modulation (PM)&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Modulation Type: AM&amp;lt;br&amp;gt;&lt;br /&gt;
1.0) Choose frequency/wavelength of interest.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
2.0) Build and test two 1/2 wavelength dipole antennas (send and receive).&amp;lt;br&amp;gt;&lt;br /&gt;
2.1) Input appropriate RF carrier frequency into transmitting antenna (sine wave of ~ 1Vpp).&amp;lt;br&amp;gt;&lt;br /&gt;
2.2) Attach oscilloscope to reveiving antenna and observe transmitted RF carrier wave.&amp;lt;br&amp;gt;&lt;br /&gt;
2.3) Attach RF carrier to LO port of mixer and another sine wave (~ few MHz at 1Vpp) to IF port &lt;br /&gt;
	of mixer. Attach the mixer&#039;s RF port to the transmitting antenna (this is &amp;quot;upconversion&amp;quot;).&amp;lt;br&amp;gt;&lt;br /&gt;
2.4) Observe the modulated RF carrier with an oscilloscope attached to the receiving antenna.&amp;lt;br&amp;gt;&lt;br /&gt;
2.5) Is the carrier frequency clearly present (use o-scope&#039;s FFT function to observe)?&lt;br /&gt;
	Are the side bands clearly present and at the correct frequency offsets? Vary the &lt;br /&gt;
	modulation frequency of the sine wave sent to the mixer&#039;s IF port. Do the RF &lt;br /&gt;
	sidebands follow suite?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Types of receivers: Homodyne (or Direct Conversion), Heterodyne, Superheterodyne&amp;lt;br&amp;gt;&lt;br /&gt;
	If the LO input to the receive-side mixer is of the same frequency as the LO on the send side &lt;br /&gt;
	you have a homodyne or direct-conversion receiver (if not, you have a heterodyne receiver). &lt;br /&gt;
	If the IF on the receive side is above audible frequencies an additional mixer is&lt;br /&gt;
	required to bring the IF down to audible frequencies (this is known as a superheterodyne &lt;br /&gt;
	receiver - the &amp;quot;super&amp;quot; refers to &amp;quot;super audible&amp;quot;).&lt;br /&gt;
&lt;br /&gt;
[[File:HomodyneReceiver.png|600px]]      [[File:SuperHeterodyneReceiver.png|800px]]&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
[[File:HeterodyneReceiver.png|600px|center]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
3.0) Use two mixers and suitable fxn generators and filters to mod/demod audio frequency (AF ~ a few kHz) on an RF carrier.&lt;br /&gt;
	Use one mixer on the receiving side to build a homodyne receiver (this is called &amp;quot;downconversion&amp;quot;). &amp;lt;br&amp;gt;&lt;br /&gt;
3.1) Observe AF on the o-scope.&amp;lt;br&amp;gt;&lt;br /&gt;
3.2) Send and receive various audio tones (use a speaker and amplifier on the receive side to&lt;br /&gt;
	hear the AF tones).&amp;lt;br&amp;gt;&lt;br /&gt;
3.3) Attach microphone and amplifier to IF port of transmitting system.&amp;lt;br&amp;gt;&lt;br /&gt;
3.4) Send and receive voice.&amp;lt;br&amp;gt;&lt;br /&gt;
3.5) Build a heterodyne receiver. &amp;lt;br&amp;gt;&lt;br /&gt;
3.6) Build a superheterodyne receiver. Repeat steps 3.1-3.4 &amp;lt;br&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
4.0) Using the superheterodyne receiver, build an RF pre-selection bandpass (BP) filter between the antenna and the mixer on the receive side &lt;br /&gt;
	(centered on the RF carrier with appropriate bandwidth).&amp;lt;br&amp;gt;&lt;br /&gt;
4.1) Build preamp between the pre-selection filter and the receive mixer (gain ~ 100).&amp;lt;br&amp;gt;&lt;br /&gt;
4.2) Build an IF filter then a low noise amplifier (LNA) between the first mixer&#039;s IF port and the second mixer. &amp;lt;br&amp;gt;&lt;br /&gt;
4.3) Build an AF filter and power amp between the second mixer and the speaker. &lt;br /&gt;
	(choose bandwidth wisely ~ 300-3kHz)&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
* FM mod/demod - Build transmit/receive circuits&lt;br /&gt;
* Direct Conversion I/Q Software Defined Radio (SDR) - DAQ/Labview interface&lt;br /&gt;
&lt;br /&gt;
** Digital modes???* FM mod/demod - Build transmit/receive circuits&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Equipment: wire for antennas, wood for support, BNC connectors, solder, mixers (at least double balanced), fxn gens&lt;br /&gt;
and filters, speaker, amplifier&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:SuperHeterodyneReceiver.png&amp;diff=3634</id>
		<title>File:SuperHeterodyneReceiver.png</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:SuperHeterodyneReceiver.png&amp;diff=3634"/>
		<updated>2022-02-17T18:46:37Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:HeterodyneReceiver.png&amp;diff=3633</id>
		<title>File:HeterodyneReceiver.png</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:HeterodyneReceiver.png&amp;diff=3633"/>
		<updated>2022-02-17T18:06:53Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:HomodyneReceiver.png&amp;diff=3632</id>
		<title>File:HomodyneReceiver.png</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:HomodyneReceiver.png&amp;diff=3632"/>
		<updated>2022-02-17T18:04:00Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Communications&amp;diff=3631</id>
		<title>RF Communications</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Communications&amp;diff=3631"/>
		<updated>2022-02-17T18:01:40Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: Created page with &amp;quot;== RF communications ==  Types of Modulation: Amplitude Modulation (AM), Single Side Band (SSB), Frequency Modulation (FM),  		     Phase Modulation (PM)&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;  Modulation T...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== RF communications ==&lt;br /&gt;
&lt;br /&gt;
Types of Modulation: Amplitude Modulation (AM), Single Side Band (SSB), Frequency Modulation (FM), &lt;br /&gt;
		     Phase Modulation (PM)&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Modulation Type: AM&amp;lt;br&amp;gt;&lt;br /&gt;
1.0) Choose frequency/wavelength of interest.&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
2.0) Build and test two 1/2 wavelength dipole antennas (send and receive).&amp;lt;br&amp;gt;&lt;br /&gt;
2.1) Input appropriate RF carrier frequency into transmitting antenna (sine wave of ~ 1Vpp).&amp;lt;br&amp;gt;&lt;br /&gt;
2.2) Attach oscilloscope to reveiving antenna and observe transmitted RF carrier wave.&amp;lt;br&amp;gt;&lt;br /&gt;
2.3) Attach RF carrier to LO port of mixer and another sine wave (~ few MHz at 1Vpp) to IF port &lt;br /&gt;
	of mixer. Attach the mixer&#039;s RF port to the transmitting antenna (this is &amp;quot;upconversion&amp;quot;).&amp;lt;br&amp;gt;&lt;br /&gt;
2.4) Observe the modulated RF carrier with an oscilloscope attached to the receiving antenna.&amp;lt;br&amp;gt;&lt;br /&gt;
2.5) Is the carrier frequency clearly present (use o-scope&#039;s FFT function to observe)?&lt;br /&gt;
	Are the side bands clearly present and at the correct frequency offsets? Vary the &lt;br /&gt;
	modulation frequency of the sine wave sent to the mixer&#039;s IF port. Do the RF &lt;br /&gt;
	sidebands follow suite?&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Types of receivers: Homodyne (or Direct Conversion), Heterodyne, Superheterodyne&amp;lt;br&amp;gt;&lt;br /&gt;
	If the LO input to the receive-side mixer is of the same frequency as the LO on the send side &lt;br /&gt;
	you have a homodyne or direct-conversion receiver (if not, you have a heterodyne receiver). &lt;br /&gt;
	If the IF on the receive side is above audible frequencies an additional mixer is&lt;br /&gt;
	required to bring the IF down to audible frequencies (this is known as a superheterodyne &lt;br /&gt;
	receiver - the &amp;quot;super&amp;quot; refers to &amp;quot;super audible&amp;quot;).&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
3.0) Use two mixers and suitable fxn generators and filters to mod/demod audio frequency (AF ~ a few kHz) on an RF carrier.&lt;br /&gt;
	Use one mixer on the receiving side to build a homodyne receiver (this is called &amp;quot;downconversion&amp;quot;). &amp;lt;br&amp;gt;&lt;br /&gt;
3.1) Observe AF on the o-scope.&amp;lt;br&amp;gt;&lt;br /&gt;
3.2) Send and receive various audio tones (use a speaker and amplifier on the receive side to&lt;br /&gt;
	hear the AF tones).&amp;lt;br&amp;gt;&lt;br /&gt;
3.3) Attach microphone and amplifier to IF port of transmitting system.&amp;lt;br&amp;gt;&lt;br /&gt;
3.4) Send and receive voice.&amp;lt;br&amp;gt;&lt;br /&gt;
3.5) Build a heterodyne receiver. &amp;lt;br&amp;gt;&lt;br /&gt;
3.6) Build a superheterodyne receiver. Repeat steps 3.1-3.4 &amp;lt;br&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
4.0) Using the superheterodyne receiver, build an RF pre-selection bandpass (BP) filter between the antenna and the mixer on the receive side &lt;br /&gt;
	(centered on the RF carrier with appropriate bandwidth).&amp;lt;br&amp;gt;&lt;br /&gt;
4.1) Build preamp between the pre-selection filter and the receive mixer (gain ~ 100).&amp;lt;br&amp;gt;&lt;br /&gt;
4.2) Build an IF filter then a low noise amplifier (LNA) between the first mixer&#039;s IF port and the second mixer. &amp;lt;br&amp;gt;&lt;br /&gt;
4.3) Build an AF filter and power amp between the second mixer and the speaker. &lt;br /&gt;
	(choose bandwidth wisely ~ 300-3kHz)&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
* FM mod/demod - Build transmit/receive circuits&lt;br /&gt;
* Direct Conversion I/Q Software Defined Radio (SDR) - DAQ/Labview interface&lt;br /&gt;
&lt;br /&gt;
** Digital modes???* FM mod/demod - Build transmit/receive circuits&amp;lt;br&amp;gt;&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Equipment: wire for antennas, wood for support, BNC connectors, solder, mixers (at least double balanced), fxn gens&lt;br /&gt;
and filters, speaker, amplifier&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3630</id>
		<title>Advanced Projects</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3630"/>
		<updated>2022-02-16T22:46:39Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Optics Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Spontaneous Parametric Downconversion]]&lt;br /&gt;
&lt;br /&gt;
* [[Sonoluminescence]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers for Biology]]&lt;br /&gt;
&lt;br /&gt;
* [[External-Cavity Tuneable Diode Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Optics Modeling with Optica]]&lt;br /&gt;
&lt;br /&gt;
* [[Schlieren Flow Visualization]]&lt;br /&gt;
&lt;br /&gt;
* [[Laser-Matter Interaction Studies]]&lt;br /&gt;
&lt;br /&gt;
== Fiber-Optic Projects ==&lt;br /&gt;
* [[Modelocked Fiberlaser]]&lt;br /&gt;
&lt;br /&gt;
* [[Sagnac Fiber-Optic Gyroscope]]&lt;br /&gt;
&lt;br /&gt;
* [[Erbium-Doped Fiber Amplifier &amp;amp; CW Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Mode-locked Erbium-Ytterbium Doped Fiber Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Master Oscillator Power Amplifier Pulsed Laser]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Graphene as Saturable Absorber]]&lt;br /&gt;
&lt;br /&gt;
* [[Fiber Simulations with RP Fiber Power]]&lt;br /&gt;
&lt;br /&gt;
*[[Optical Chaos with External Feedback Mirror]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
== Solid State Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Atomic Force Microscope]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[OAM &amp;amp; Surface Plasmon Resonance]]&lt;br /&gt;
&lt;br /&gt;
* [[Superconductivity]]&lt;br /&gt;
&lt;br /&gt;
* [[MgB2 Superconductor]]&lt;br /&gt;
&lt;br /&gt;
* [[Physics of Semiconductor Devices]]&lt;br /&gt;
&lt;br /&gt;
* [[Physical Adsorption]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Nuclear Magnetic Resonance]]&lt;br /&gt;
&lt;br /&gt;
==Thermodynamics==&lt;br /&gt;
&lt;br /&gt;
* [[Heat Content Asymptotics]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
== Computational Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[MEEP]]&lt;br /&gt;
&lt;br /&gt;
* [[Parallel Programming on the APL Cluster]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Data Mining]]&lt;br /&gt;
&lt;br /&gt;
* [[Robotics]]&lt;br /&gt;
&lt;br /&gt;
* [[APL HPC Cluster]]&lt;br /&gt;
&lt;br /&gt;
== Astronomical Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Observational Astronomy]] (offered Spring Term)&lt;br /&gt;
&lt;br /&gt;
* [[Astronomical Spectroscopy]]&lt;br /&gt;
&lt;br /&gt;
==RF Communications==&lt;br /&gt;
&lt;br /&gt;
* [[RF Communications]]&lt;br /&gt;
&lt;br /&gt;
== Useful Info==&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Make_A_Cable.pdf | How To Make a Multi-Strand Shielded Cable]]&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Connectorize_BNC_Cables.pdf | How To Make a BNC Cable]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:Willamette.jpg&amp;diff=3629</id>
		<title>File:Willamette.jpg</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:Willamette.jpg&amp;diff=3629"/>
		<updated>2022-02-04T00:54:54Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Function_Generators_and_Oscilloscopes&amp;diff=3628</id>
		<title>Function Generators and Oscilloscopes</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Function_Generators_and_Oscilloscopes&amp;diff=3628"/>
		<updated>2022-01-19T20:35:19Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:FunGenAndOScope.png|300px|thumb|right|Rigol Function Generator (top) and Oscilloscope (bottom)]]&lt;br /&gt;
&lt;br /&gt;
Function generators and oscilloscopes will be covered as a pair. Oscilloscopes measures voltages as a function of time and displays the data on a graph. Function generators create a changing voltage under some function of time (often it is a sine wave, although there are a number of other shapes we&#039;ll see below). Thus, these two are natural to pair together. Note that sometimes oscilloscope is shortened to &amp;quot;oscope&amp;quot; or just &amp;quot;scope&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
This module will also review some circuit elements (diode operation), fourier analysis of a signal and data fitting to a function.&lt;br /&gt;
&lt;br /&gt;
Each section has a table describing the function generator output setup for that section. Controls marked with an asterisk will be changed during that section.&lt;br /&gt;
&lt;br /&gt;
This module is part of the [[General Lab Equipment Obstacle Course]].&lt;br /&gt;
&lt;br /&gt;
== Equipment ==&lt;br /&gt;
[[File:Bnc-adapters.png|300px|thumb|right|BNC-to-Banana Adapters: Socket (left) and Plug (right)]]&lt;br /&gt;
For this topic, you&#039;ll need the following equipment:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigol DG1022 Function Generator&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigol DS1102E Digital Oscilloscope&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 1kohm resistor&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 1uF capactitor&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 1N4148 Diode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Protoboard&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A number of short wires &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A few BNC-to-banana socket adapters (left adapter shown to right)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC-to-banana plug adapter (right adapter shown to right)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Three BNC cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Two full sets of alligator clip - banana plug cables (that is a total of four cables with alligator clips on one end and banana plugs on the other)&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Circuit Setup ==&lt;br /&gt;
[[File:OscopeCir1.png|350px|right|thumbnail|&amp;lt;b&amp;gt;Circuit 1&amp;lt;/b&amp;gt;: Simple Circuit for Function Generator/Oscilloscope]]&lt;br /&gt;
&lt;br /&gt;
We will need some circuit to read voltages from. Setup a circuit to run the output voltage of the function generator through your resistor and read the voltage dropped across the resistor with the oscilloscope. How to carefully set this up follows.&lt;br /&gt;
&lt;br /&gt;
To bottom output of the function generator, plug in the BNC and attach the free end to the BNC-to-banana-plug adapter. The plastic cap on the banana-socket should unscrew slightly and reveal a hole underneath. For each socket, push the exposed end of a wire through the hole, then tighten down the cap to secure the wire to the socket. The wires should not go to the same row of holes in the protoboard. Connect the wire to a row on the protoboard, and plug the adapter into the sockets. The rows into which you plugged the wires should now be connected to the output of the function generator. Plug opposite ends of the resistor into the two rows of the protoboard that you have powered. Current that flows from the function generator should now travel through the resistor.&lt;br /&gt;
&lt;br /&gt;
On each side of the resistor, attach an alligator clip. Attach a BNC-to-aligator-socket adapter to channel 1 of the oscilloscope. Plug the ends of the alligator clip into the banana-sockets. This should allow the oscilloscope to display, on channel 1, the voltage across the resistor, as shown to the right.&lt;br /&gt;
&lt;br /&gt;
== Oscilloscope Setup ==&lt;br /&gt;
&lt;br /&gt;
Turn on the oscilloscope with the button on the top of it. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Controlling Displayed Inputs&amp;lt;/b&amp;gt;: Using the CH1, CH2, MATH, and REF buttons on the right side of the display, press each one until only the CH1 button is lit. This will allow the oscilloscope to ONLY display the input from the first channel.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing Vertical Scale&amp;lt;/b&amp;gt;: Using the bottom knob in the &amp;quot;Vertical&amp;quot; column of controls, turn it until the yellow numbers in the bottom left corner of the screen read &amp;quot;200mV&amp;quot;. This sets the oscilloscope such that the vertical scale has 200mV of measured voltage between each of the horizontal lines. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;What is the voltage at the top and bottom of the graph? &amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing Horizontal (time) Scale&amp;lt;/b&amp;gt;: Turn the knob at the bottom of the &amp;quot;horizontal&amp;quot; column of controls. Turn it until the white &amp;quot;Time&amp;quot; setting at the bottom of the screen reads 50.00ms. This sets the bottom (time) axis so there are 50ms of data between vertical lines on the graph.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; What is the full amount of of time displayed on the display?&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing Trigger Source&amp;lt;/b&amp;gt;: It is likely that nothing is happening on the screen. Press the &amp;quot;MENU&amp;quot; button in the &amp;quot;Trigger&amp;quot; column of controls. A display should appear on the screen. Press the button next to the &amp;quot;Source&amp;quot; setting until it highlights &amp;quot;AC LINE&#039;. You can also use the dial at the top of the controls to change which selection is made. Change the &amp;quot;Slope&amp;quot; setting to the arrow pointing upwards.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; The &amp;quot;Trigger&amp;quot; control tells the oscilloscope when to update data. The scope is constantly recording data, but only displays it when it is &amp;lt;i&amp;gt;triggered&amp;lt;/i&amp;gt;. It is triggered when the source&#039;s voltage (currently the voltage in the AC line) crosses 0 volts in the direction set up by the slope (currently going from below 0V to above 0V. When it is triggered, the scope fills the left half of the screen with the data it has been recording, then fills the right half in real time.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; One being triggered, the oscilloscope will record data for the entire length of time the window is set for (with the horizontal time control knob - see step 3, above). &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; You should be seeing the line on the display change. How long does it take for the line to change? How does this compare to the length of the x-axis (full time of the data).&lt;br /&gt;
&amp;lt;li&amp;gt; After it finishes recorded data, it will wait for another trigger. Once it sees the new trigger, it will overwrite the data it has displayed, so you should be seeing the line update roughly every 0.6s.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Try changing the time-axis to 500ms. See how the scope updates? be sure to set things back to 50ms before continuing.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Press the white circular &amp;quot;Menu On/Off&amp;quot; just to the right of the display. This should turn off any menus and show you the full screen of data.&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
A yellow line of 0 volts is boring, so let&#039;s give the oscilloscope a signal to measure.&lt;br /&gt;
&lt;br /&gt;
== Function Generator Setup ==&lt;br /&gt;
&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 20 Hz&lt;br /&gt;
| --&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V&lt;br /&gt;
| --&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine&lt;br /&gt;
| OFF&lt;br /&gt;
|-&lt;br /&gt;
! Notes&lt;br /&gt;
| --&lt;br /&gt;
| --&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Turn on the function generator with the power button in the bottom left corner.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing Output Controls&amp;lt;/b&amp;gt;: Press the &amp;quot;CH1|CH2&amp;quot; button under the display until the left box turns black, this gives you control over the output of channel 1. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing Output waveforms&amp;lt;/b&amp;gt;: Press the &amp;quot;Sine&amp;quot; button under the function generator display to create a sine wave. The display should read &amp;quot;Sine&amp;quot; in the top left corner and the image of a sine wave should appear under it.&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Controlling Frequency&amp;lt;/b&amp;gt;: Press the left most blue button on the until the label above it reads &amp;quot;Freq&amp;quot;. This allows you to set the frequency of the box. Using the two arrow buttons under the function generator dial and the dial itself to set the output frequency to 20Hz.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Controlling Amplitude&amp;lt;/b&amp;gt;: Press the 2nd (from the left) blue button under the display so that the label above it reads &amp;quot;Ampl&amp;quot;. This gives you control of the amplitude of the wave. The function generator has you input the wave&#039;s peak-to-peak voltage, that is the total voltage between the tops of the waves and the bottoms. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;If the sine wave is y=A Sin( 2 pi f t), how does the peak-to-peak voltage compare to the amplitude, A, of the wave?&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
Use the dial and arrows under the dial to set the wave &amp;lt;i&amp;gt;amplitude&amp;lt;/i&amp;gt; to 0.5V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Turning on/off output&amp;lt;/b&amp;gt;: Press the bottom output button on the right side of the function generator to turn on channel 1 of the function generator. The label in the top-right corner of the left box on the display should change to &amp;quot;ON&amp;quot; from &amp;quot;OFF&amp;quot;. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Oscilloscope Measurements ==&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 20 Hz&lt;br /&gt;
| 20 Hz&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V&lt;br /&gt;
| 0.5 V&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine&lt;br /&gt;
| Sine&lt;br /&gt;
|-&lt;br /&gt;
! Notes&lt;br /&gt;
| --&lt;br /&gt;
| --&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
Now you should be seeing something on the function generator&#039;s screen. Hurray!&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; If each horizontal line on the screen is 200mV, about what does the oscilloscope read for the &amp;lt;i&amp;gt;amplitude&amp;lt;/i&amp;gt; of the wave. Is this correct?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Count the number of full waves on the display. This is challenging yes? There are (at least) two ways to deal with this.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Recording Single Scope Traces&amp;lt;/b&amp;gt;: Press the green-glowing RUN/STOP button in the top right corner of the oscilloscope. It should turn red and once the oscope completes its current run of recording data, it will stop recording data and keep the data saved on the screen. Pressing the RUN/STOP button again will return to recording data normally.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The better way to look at the data is by changing the Triggering Source of the scope. Change the trigger source to Channel 1. Now the data only updates when it is triggered by channel 1.&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
Isn&#039;t that easier to read? Now how many full, stationary waves appear on the screen? How many full waves &amp;lt;i&amp;gt;per second&amp;lt;/i&amp;gt; does that correspond to? How does that compare to the frequency you set the function generator to?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Because the scope is triggered when channel 1 crosses from negative to positive voltage, the exact center of the graph should be at 0V.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; Predict how the graph will change if you change the triggering slope to the down-arrow.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now change the slope to the down arrow. Was your prediction correct?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Put the trigger slope back to the up-arrow.&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing Trigger Level&amp;lt;/b&amp;gt;: You can change the trigger so that it happens not when the voltage crosses zero, but when it crosses any arbitrary voltage level. To do this, turn the top knob in the &amp;quot;Trigger&amp;quot; control column. An orange line, with an arrow labeled &amp;quot;T&amp;quot; to the left of the graph, should appear and follow how you turn the knob. This sets the voltage at which the scope is triggered. When the voltage crosses this threshold (in the direction chosen with &amp;quot;slope&amp;quot;) the oscope will begin collecting data.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;As you change the triggering voltage, how does the voltage at the left side of the screen change? Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Predict what will happen if you move the trigger voltage above (or below) the amplitude of the wave. Try it. Return the trigger voltage to 0V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the scale of the vertical axis to 100mV. Did the graph do as you&#039;d expect?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Create another copy of circuit 1 and Use channel 2 of the function generator to put an sine wave through the resistor (20Hz and 1V amplitude). Measure the voltage drop in the resistor using channel 2 of the oscilloscope and turn on the channel 2 display for the scope.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;6&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Controlling Multiple Scope Input Channels&amp;lt;/b&amp;gt;: Pressing the CH1 button on the scope will give you control over channel 1. Set its vertical scale to 500mV. Pressing the CH2 button will then give you control over channel 2&#039;s properties. Set its vertical scale to 500mV. The two graphs should line up on top of each other.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; Change the horizontal scale of Channel 1 to 50ms.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the horizontal scale of Channel 2 to 100ms.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happened to the scale of Channel 1?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set both horizontal scales to 100ms.&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Controlling 0V point of graph&amp;lt;/b&amp;gt;: Turning the top knob on the vertical column of controls will adjust the offset of the scope. Change the offset of channel 1 to +0.5V and the offset of channel 2 to -0.5V. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the scope to trigger on Channel 2 when it crosses 0V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
You should now see two identical traces on the scope, with their traces offset from each other by 1V.&lt;br /&gt;
&lt;br /&gt;
== More Function Generator Controls ==&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 20 Hz || 20 Hz&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V || 0.5 V&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine* || Sine&lt;br /&gt;
|-&lt;br /&gt;
! Notes&lt;br /&gt;
| Will be adjusting &amp;lt;br&amp;gt; offset, phase ||&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Your oscilloscope should be setup as in the end of the previous section: Channels 1 and 2 set to vertical 500mV scaling and 100ms horizontal scaling. Channel 1 should have a vertical offset of 0.5V and channel 2 should have a vertical offset of -0.5V. The scope should be reading the voltage across one resistor. Each resistor should be connected to one output of the function generator, as shown in circuit 1 above.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Setting Output Waveforms&amp;lt;/b&amp;gt;: Make sure you are controlling the output of Channel 1 of the function generator. Press some of the other waveform buttons (Square, ramp, pulse) under the display and observe the changes on the oscilloscope. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Return the wave form to be a sine wave. We want to overlap the two signals on the oscilloscope by adjusting the voltage output from channel 1 of the function generator, that is we want the voltage to be V=V0+A sin(2 pi f t). By how much should you adjust the voltage by to make this happen? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing Wave Offset&amp;lt;/b&amp;gt;: Press the button under the &amp;quot;Offset&amp;quot; label on the display. Use the knob and arrows on the function generator to change the voltage and make the two graphs overlap.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; It is likely that your graphs will not overlap perfectly. They&#039;ll have some &amp;lt;i&amp;gt;phase difference&amp;lt;/i&amp;gt; between them. The phase of each output is set randomly when that channel of the function generator is turned on. See that by turning on and off the output of channel 1 a few times. Note that the wave forms shift relative to eachother.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Aligning output phase&amp;lt;/b&amp;gt;: Press the blue button under the &amp;quot;AligPha&amp;quot; label on the display. This should fix both phases so that they are the same. Did it?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Turn off and then back on channel 1 to get a random phase.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Changing output phase&amp;lt;/b&amp;gt;: Press the blue button under &amp;quot;Phase&amp;quot; on the function generator display. Use the knob and arrow buttons to adjust the phase of channel 1 so that the outputs of channel 1 and 2 look the same.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Move the phase back to 0 degrees and align the phases.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Return the vertical offsets of channels 1 and 2 of the oscilloscope to 0V. You can do this simply by pressing in the vertical position knob.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;&amp;lt;b&amp;gt; Changing Oscilloscope Coupling&amp;lt;/b&amp;gt;: Press the channel 1 button on the oscilloscope to open its menu. Changing the &amp;quot;Coupling&amp;quot; option from DC to AC.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;What happened to the signal for channel 1?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Change the offset for channel 1 with the function generator. What happens to the scope signal for channel 1?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Set the offset of channel 1 to 0V and decrease the frequency, including trying some frequencies below 1Hz. What happens to the amplitude of the wave? Change the coupling of channel 1 back to DC. What happened to the amplitude now?&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think the AC coupling mode is doing? How is reading the output wave?&lt;br /&gt;
&amp;lt;li&amp;gt; The AC coupling mode blocks the DC component of input signals and displays only the AC portion. So it effectively subtracts out the average value of a signal. Hopefully this is what you observe.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the output waveform of channel 1 to be a  square wave. Adjust the horizontal scaling of the signal to get a clear look at the wave. What happened to it?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Square waves are made up of summing together sine waves of various frequencies (see the section below on Channel Comparisons). As you saw above, the AC coupling mode doesn&#039;t just get rid of the DC portion, but it also effects other low frequency components. Because the lower frequencies are modified, the signal for a square wave looks &amp;quot;wrong&amp;quot; in AC coupled mode.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Oscilloscope Channel Comparisons ==&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 35 Hz* || 35 Hz&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V || 0.5 V&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine* || Sine&lt;br /&gt;
|-&lt;br /&gt;
! Notes &lt;br /&gt;
| Will be changing &amp;lt;br&amp;gt; phase || &lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
While performing experiments, just eyeballing the phase of two wave&#039;s isn&#039;t enough, there should be a better way to check it.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Signal Difference&amp;lt;/b&amp;gt;: Press the &amp;quot;MATH&amp;quot; button on the oscilloscope. A purple graph should appear. Use the blue menu buttons and dial to set the &amp;quot;Operate&amp;quot; menu to &amp;quot;A-B&amp;quot;, Source A to CH1 and Source B to CH2. Thus, the purple menu should be the difference between the two channels. Adjust the vertical scale of the function generator to 20mV.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the phase of channel 1 with the function generator to make the difference signal as small as you can make it, changing the scale and offset of the function math channel graph as needed. How close is this to your value from earlier? Set the phase of channel 1 back to zero.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Measuring Phase&amp;lt;/b&amp;gt;: Press the &amp;quot;Measure&amp;quot; button in the top left corner of the oscope. This should bring up the measurement menu. Press the &amp;quot;Time&amp;quot; button and use top knob to select &amp;quot;Phase 1-&amp;gt;2 (down)&amp;quot;. Press in the top knob to selection this. A green value should appear on the screen and show you the phase between the two channels. Does this agree with what you&#039;ve found?&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; You should note that the phase reading moves around some. That phase measurement is so-so and should really be measured using another device.&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the phase for channel 1 to 0 and align the phases of the two channels.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Signal Sum&amp;lt;/b&amp;gt;: Return to the math menu and change the Operate control to &amp;quot;A+B&amp;quot;. The purple graph should now show the sum of the two waves.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the frequency of channel 1 to produce a 2Hz &amp;lt;i&amp;gt;beat note&amp;lt;/i&amp;gt; in the purple sum signal. How would the signal change if you were look at the difference of these two new waves. Try it.&lt;br /&gt;
&amp;lt;li&amp;gt; Change both channels of the function generator to output 35Hz signals. &lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Fourier Transform&amp;lt;/b&amp;gt;: Recall that the fourier transform of a time signal gives information about the frequencies that appear in a signal. In the math menu, change the Operate option to &amp;quot;FFT&amp;quot;, the Source to CH1, the Display to &amp;quot;Full Screen&amp;quot; and scale to &amp;quot;Vrms&amp;quot;. This should display the fourier transform of whatever signal is in channel 1. Note that you can press the CH1 and CH2 buttons twice to turn off the displays for channel 1 and 2 without affecting the math signal.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; FFT Frequency Spacing&amp;lt;/b&amp;gt;: With the FFT information at the bottom of the screen, does a peak appear at the frequency you expect? You can use the horizontal scale knob to change the frequency spacing of the fourier transform without affecting the time scaling of the input channels. Change the scale to 5Hz/div to see if the FFT is showing you the correct frequency.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Horizontal Cursor&amp;lt;/b&amp;gt;: There is another way to read values from the display. Press the &amp;quot;Cursor&amp;quot; button so that it lights up. One or two lines should appear on the screen. Use the blue menu buttons to change the Mode to &amp;quot;Manual&amp;quot;, the Type to &amp;quot;X&amp;quot;, the Source to &amp;quot;FFT&amp;quot; and to highlight only the curl under CurA (i.e. cursor A). Now using the knob at the top of the oscilloscope, move the white line horizontally. You&#039;ll note that the box that has appeared on your screen will change values - showing you the frequency at which the cursor is currently set. Overlap cursor A with the peak in your graph. Does it give you correct frequency?&lt;br /&gt;
&amp;lt;li&amp;gt; Hopefully you know that any periodic function of frequency f can be made by summing sine waves with multiples of that frequency with different amplitudes. That is a periodic function, V(t) can be written as&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
&amp;lt;math&amp;gt;V(t)=\sum_{k=1}^N A_k sin(2 \pi k f t)&amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Change the frequency scale to 25Hz/div. Set Channel 1 on the function generator to create a square wave. How does the frequency spectrum on the oscilloscope change? Use cursor 2 to show you the frequency that another other peaks show up at. You may wish to turn the vertical scale knobs to make the spectrum appear bigger and to move the bottom of the spectrum closer to the bottom of the display.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How does the frequency of the 2nd large peak compare to the frequency of the first? Which harmonic of the main frequency is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Do any other large peaks show up? What are their frequencies? What harmonics are those?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Do you think a square wave contains all harmonics, only even harmonics or only odd harmonics? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Turn on the channel 1 display and change the time basis to 20ms. Note that this changes the frequency spacing of the FFT greatly. Adjust the frequency basis back to 25Hz/div. You&#039;ll also note that the FFT graph looks &amp;quot;smoother&amp;quot;. This is because the finest spacing in frequency that the FFT function can display is related to the full-time of the time signal - a shorter time means less fine spacing in frequency.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now what harmonics show up in the graph?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the output of channel 1 to a &amp;quot;ramp&amp;quot;. What does the channel 1 signal look like - is it a &amp;lt;i&amp;gt;triangle&amp;lt;/i&amp;gt; wave or a &amp;lt;i&amp;gt;saw-tooth&amp;lt;/i&amp;gt; wave? Which frequency components show in in this waveform?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Setting Triangle/Saw-tooth Waves&amp;lt;/b&amp;gt; On the function generator, when using the ramp waveform, press the blue button under the &amp;quot;Symm&amp;quot; label on the display. Symm sets how symmetric the ramp is. If &amp;quot;Symm&amp;quot; is set to 50%, the function should be a triangle wave - 50% of the &amp;quot;front&amp;quot; half of the signal is the ramp. If &amp;quot;Symm&amp;quot; is 0%, 0% of the &amp;quot;front&amp;quot; half of the signal will be the ramp - that is the ramp will jump from its lowest value to its highest value, then slowly ramp back down to the lowest vale. If Symm is at 100%, the instantaneous jump will occur at the end of the wave. Both the 100% and the 0% Sym settings are saw-tooth waves. These three settings are shown below.&lt;br /&gt;
[[File:FuncGenRamp.png|x100px|thumb|center|Function Generator Ramp Output (none of which should be confused with the [https://commons.wikimedia.org/wiki/File:Nine_Inch_Nails_logo.svg Nine Inch Nails logo])]]&lt;br /&gt;
The Symm method for generating Triangle and Saw-tooth waves is not universal, but is described here in detail to familiarize you with the triangle and saw-tooth waveform.&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Look both the triangle waves and the saw-tooth waves. How do their frequency components, the harmonic content of the wave, compare?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;&amp;lt;b&amp;gt;Vertical Cursor&amp;lt;/b&amp;gt;: Press the cursor button and change the &amp;quot;Type&amp;quot; to Y. Now two horizontal lines should appear on the screen. Using the knob at the top of the oscilloscope, you can change the height of each cursor. The values that are listed in the box show you the voltage that the cursor is at.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set channel 1 to be a saw-tooth wave (Symm=0% or Symm=100%)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use the cursors to read out the heights of the first few harmonics of the saw-tooth wave. (try setting the vertical scale for the FFT plot to 50mVrms/div and the horizontal scale to 25Hz/div).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How do these heights compare? How do you think the coefficients, &amp;lt;math&amp;gt;A_k&amp;lt;/math&amp;gt;, scale as a function of the harmonic, k, for the  saw-tooth wave, based on your data? &lt;br /&gt;
&amp;lt;li&amp;gt; Try plotting your data. Measured &amp;lt;math&amp;gt;A_k&amp;lt;/math&amp;gt; vs &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; for a bunch of different points and plot it on a computer. Plot the data on a log-log plot and fit a line to this plot. The slope of that line, m, should be how the &amp;lt;math&amp;gt;A_k&amp;lt;/math&amp;gt; coefficients scale with k, i.e. &amp;lt;math&amp;gt;A_k\propto k^m&amp;lt;/math&amp;gt; .&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the waveform in channel 1 to be a triangle wave (Symm=50%). Measure the peak heights for the triangle wave. You may have to change the vertical or horizontal scaling to get better readings of the heights. How do the coefficients &amp;lt;math&amp;gt;A_k&amp;lt;/math&amp;gt; scale for the triangle wave?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Repeat for the sqaure wave.&amp;lt;/li&amp;gt; &lt;br /&gt;
&amp;lt;li&amp;gt; Loop up the triangle, square, and sawtooth wave online or in a text book. Did you get the correct forms for the coefficients?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Frequency Sweep ==&lt;br /&gt;
[[File:OscopeCir3.png|300px|right|thumbnail|&amp;lt;b&amp;gt; Circuit 2&amp;lt;/b&amp;gt;: Circuit for Frequency Sweeping (Frequency Filter)]]&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 35 Hz* || --&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V || --&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine || Off&lt;br /&gt;
|-&lt;br /&gt;
! Notes &lt;br /&gt;
| Will be used in &amp;lt;br&amp;gt; Sweep Mode || --&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Connect the output of channel 1 across a resistor and the capacitor in series (so the current would flow through the resistor then through the capacitor). Measure the voltage across the resistor-capacitor pair on channel 1 of the oscilloscope. Measure the voltage across just the capacitor on channel 2 of the oscilloscope. This set up is a frequency filter - it allows some frequencies to pass through the pair while preventing other frequencies, or at least reducing their amplitudes significantly. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How do the amplitudes of the waves on the oscilloscope compare? Change the frequency of channel 1 by a lot. How does the amplitude change? Do you think high or low frequencies can get through (you should have studied a similar circuit when following the [[Multimeters]] module.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; This would be much easier to study if we could look at multiple frequencies in quick succession. So let&#039;s do that.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Frequency Sweep&amp;lt;/b&amp;gt;: Press the &amp;quot;Sweep&amp;quot; Button on the function generator (while controlling the output of channel 1). This mode will continually change the output frequency of the generator, allowing us to analyze what happens as the frequency changes.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Press the button under the &amp;quot;Start&amp;quot; label and set the frequency to 100Hz&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Press the button under the &amp;quot;Stop&amp;quot; label and set the frequency to 300Hz.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Press the button under the &amp;quot;Time&amp;quot; label and set the time to 1sec.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The function generator is now set up to constantly (linearly) change the frequency from 100Hz to 300Hz in 1sec. Adjust the horizontal axis on the scope to be 5ms/division. Observe how the waveform changes.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; If you change the direction of the sweep (starting at 300Hz and stopping at 100Hz), how do you think the waveform on the scope will change? Try it.&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the scope&#039;s trigger to be on channel 2. Adjust the level of the trigger to be around +400mV. Change the sweep&#039;s start to 300Hz and end to 65kHz. Yes, that&#039;s kilohertz. Adjust the horizontal scale on the function generator to be 100ms/division.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;&amp;lt;b&amp;gt;Trigger Position&amp;lt;/b&amp;gt;: Turn the horizontal position knob to move the location of the trigger. Normally, the trigger &amp;quot;starts&amp;quot; at the center of the screen (marked with a pentagon with a &amp;quot;T&amp;quot; in it). Move the trigger to the far left side of the screen. You can now see more of the trace that occurs after the trigger occurs.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What are you observing on the screen? Does this information tell you if the filter we&#039;ve built is low-pass or high pass? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Why do you think you changed the trigger level?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think would happen if you flip the start and stop points of the sweep? Try it.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Sweep Scaling&amp;lt;/b&amp;gt;: Press the button under the &amp;quot;Linear&amp;quot; label. Press it again until it changes to &amp;quot;Log.&amp;quot; This changes the sweep so that it does not change linearly but logarithmically. This is convenient if you&#039;d like to observe how the circuit responds over several orders of magnitude in frequency.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the sweep to go between 10Hz and 80Hz. Change the horizontal axis on the scope to be 50ms.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Roll Time Basis&amp;lt;/b&amp;gt;: Open the horizontal menu on the scope and change the Time Base to Roll. Rather than displaying a full wave form then erasing it to display new data, this mode rolls the data over the screen as it goes. Change between the linear and logarithmic mode for the sweep and see how the form changes as it rolls. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; The roll time basis might be useful for times when you are attempting to minimize/maximize a signal. It will give you a &amp;quot;live&amp;quot; update on what the signal is, while still showing you what the signal was in the recent past.&amp;lt;/li&amp;gt;&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== X-Y Plotting and External Trigger ==&lt;br /&gt;
[[File:OscopeCir2.png|300px|right|thumbnail|&amp;lt;b&amp;gt;Circuit 3&amp;lt;/b&amp;gt;: Circuit for X-Y Plotting (Diode + Resistor)]]&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 35 Hz || 35 Hz&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 1.5 V || 1.5 V&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine || Square&lt;br /&gt;
|-&lt;br /&gt;
! Notes &lt;br /&gt;
| Sync Phases || Used as External &amp;lt;br&amp;gt; Trigger to scope&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
Disconnect the two resistors from the function generator. With channel 1, output a sine wave with frequency of 35Hz and amplitude of 1.5V. Connect the output of channel 1 to the diode and one resistor in series. Use the channel 1 of the oscilloscope to measure the voltage across the diode-resistor pair and channel 2 to measure the voltage across just the resistor. These should be set up like the diagram to the right.&lt;br /&gt;
&lt;br /&gt;
Set the frequency and amplitude of channel 2 of the function generator to match that of channel 1. Make channel 2 be a square wave and sync the phases of the two outputs.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; External triggering&amp;lt;/b&amp;gt;: Connect the output of channel 2 of the function generator to the External Trigger input of the oscilloscope. In the oscilloscope&#039;s trigger menu, set the source to External, Edge triggered, and a down arrow for the direction.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; The external triggering allows you to trigger the scope&#039;s data recording without interfering with displaying two different voltage signals. This is useful, for example, when measuring the voltage across a resistor and a capacitor in an RC circuit as there will be a phase different between the voltages. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The edge triggering is best for square pulses as it just relies on the signal going from high-to-low (or low-to-high). Using the slope setting for square waves cause issues as the slope when a square wave changes is infinite. For non-square waves, this will behave identically to the slope triggering, but not vice-versa.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the vertical scale of both oscilloscope channels to 500mV and the horizontal scale to 5ms. How do the two graphs of the voltage out of the function generator (channel 1) and the voltage dropped across the resistor compare (channel 2) compare?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the vertical offset of channel 2 on the oscilloscope to force the graphs to overlap as much as you can. What must be true about the voltage across the diode so that current flows through it? About what voltage is needed?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Cursors: Track Mode&amp;lt;/b&amp;gt;: Open the cursor menu and set the mode to &amp;quot;Track&amp;quot;. When using this mode, the cursor(s) will follow the voltage in a channel and show you time and voltage information at the same time. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;Set the &amp;quot;Cursor A&amp;quot; control to CH2 and move the cursor to the &amp;quot;corner&amp;quot; where the voltage turns on or off. You can eye-ball it, or move watch the &amp;quot;A-&amp;gt;Y&amp;quot; chart value goes above 0V. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the &amp;quot;Cursor B&amp;quot; control to CH1 and move this cursor so that the &amp;quot;|ΔX|&amp;quot; value in the chart is 0s. Here, the time-separation between the two cursors is zero.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage read at cursor B (the &amp;quot;B-&amp;gt; Y&amp;quot; value in the chart)? This is the minimum voltage needed for current to flow through the resistor.&amp;lt;/li&amp;gt; &lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; X-Y Time Basis&amp;lt;/b&amp;gt;: Press the &amp;quot;Menu&amp;quot; button in the middle of the horizontal control column. Use the menu buttons to change the &amp;quot;Time Base&amp;quot; from Y-T to X-Y. This shows the voltage in channel 1 plotted along the x-axis and the voltage in channel 2 plotted along the y-axis. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;You&#039;ll note that the cursor menu changes from track mode - while using the X-Y time basis, you cannot use track mode.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Adjusting Horizontal Axis in X-Y Basis&amp;lt;/b&amp;gt;: Using the horizontal adjustment knobs does not change the horizontal axis in the X-Y basis. To do this, press the channel 1 button to open the channel 1 adjustment menu. Use the vertical adjustment knobs to change the scale/center of the voltage for channel 1 - and hence the horizontal axis in the X-Y basis. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Adjusting Vertical Axis in X-Y Basis&amp;lt;/b&amp;gt;: Open the channel 2 adjustment menu. Use the vertical adjustment knobs to change the scale/center of the voltage for channel 2 - and hence the vertical axis in the X-Y basis.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjust the axes so as much of the graph shows up on the oscilloscope.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Sampling in the X-Y basis&amp;lt;/b&amp;gt;: The graph for the X-Y mode will probably be &amp;quot;moving around&amp;quot;. This is due to a mismatch between the oscillation frequency and the sampling rate of the oscilloscope. You can use the horizontal scale knob to adjust the sampling rate until you can see the entire range of the data you are plotting.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use vertical cursors find the input voltage (channel 1 voltage) that causes current to start to flow through the diode and to the resistor. Estimate the voltage at which the out voltage follows ohm&#039;s law through the resistor. This is the &amp;quot;forward&amp;quot; voltage for the diode. Does your measured value agree with the value from the [[https://www.fairchildsemi.com/datasheets/1N/1N914.pdf diode&#039;s data sheet]].&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Noise and Averaging ==&lt;br /&gt;
&lt;br /&gt;
[[File:OscopeCir4.png|300px|right|thumbnail|&amp;lt;b&amp;gt;Circuit 4&amp;lt;/b&amp;gt;: Circuit for Noise and Averaging (Poor Voltage Summer)]]&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 35 Hz || 35 Hz*&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V || 0.5 V&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine || Noise*&lt;br /&gt;
|-&lt;br /&gt;
! Notes &lt;br /&gt;
| -- || --&lt;br /&gt;
|-&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Build the following circuit: Connect the positive (red) outputs of both channels to one end of different resistors (resistors 1 and 2). The other end of each resistor should be connected to one end of a third resistor (one end of all three resistors should touch). Connect the black outputs of both channels to free end of the third resistor (resistor 3). This circuit is shown to the right, along with a simplified &amp;quot;standard&amp;quot; circuit drawing.&lt;br /&gt;
&lt;br /&gt;
This is a (crude) voltage summer: the voltages from the two output channels will add together in the third resistor. This is not a very good voltage summer, as the output voltage in the third resistor isn&#039;t just the sum, but sum of the two voltages each scaled by some factor (related to the resistances). There are much better ways to sum voltages, but this will work fine for our purposes.&lt;br /&gt;
&lt;br /&gt;
Connect the input of channel 1 of the oscilloscope to the voltage across resistor 1 and the input of channel 2 of the oscilloscope to the voltage across resistor 3. Set the scope to trigger on channel 1 and set the horizontal scale so that a few wave forms show on the display. Adjust the vertical scales of each channel as you feel appropriate.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Have both channels output sine waves and align the phases of the function generator output.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How does the signal in channel 2 (the sum(ish) of the two signals) compare when you adjust the phase of channel 2?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Noise Generation&amp;lt;/B&amp;gt;: Select channel 2 control on the function generator and press the &amp;quot;Noise&amp;quot; button. This will generate a random noise-y signal output. Note which wave properties you can change while in noise mode.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Observe the voltage across resistor 2 on channel 2 oscilloscope, see how noisy it is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Return the output of channel 2 to measure the voltage across resistor 3.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjust the amplitude of the noise signal and note how the summed signal changes on the oscilloscope. Return the amplitude to 0.5V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Averaging Signals&amp;lt;/b&amp;gt;: Press the &amp;quot;Acquire&amp;quot; button on the oscilloscope. Change the &amp;quot;Acquisition&amp;quot; item in the menu to &amp;quot;Average&amp;quot;.&lt;br /&gt;
&amp;lt;ul&amp;gt; &amp;lt;li&amp;gt; This setting displays the average of the previous N scope traces (N is set in the &amp;quot;Averages&amp;quot; menu item that appears). Each time you change any setting on the scope, the average must be recalculated.&lt;br /&gt;
&amp;lt;li&amp;gt; Adjust the number of averages and observe how the signal changes. Set the number of averages to 4.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the amplitude of the sine wave of channel 1 to 1.0V. Note how long it takes for the signal to &amp;quot;adjust&amp;quot; on the oscilloscope. Repeat this with the number of averages set to 32. How does the time for the signal to &amp;quot;adjust&amp;quot; compare to setting the averages to 4?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Return the acquisition mode to normal.&lt;br /&gt;
&amp;lt;li&amp;gt; Try changing the amplitude of the noise signal in channel 1. What happens to the summed (and averaged) signal. Why do you think this would happen?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Display the fourier transform of channel 2 on the oscilloscope. Adjust the amplitudes of both channels of the function generator and observe changes in the 35Hz peak. Repeat this after turning on signal averaging.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Oscilloscope Time Properties==&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 50 Hz* || 50 Hz&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V || 0.5 V&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine || Sine&lt;br /&gt;
|-&lt;br /&gt;
! Notes&lt;br /&gt;
| -- ||--&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Construction 2 copies of circuit 1, one for each output of the function generator. Use scope channel 1 to read the voltage output from channel 1 of the oscilloscope. Use scope channel 2 to read the voltage output from channel 2 of the oscilloscope.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt; Oscilloscope Sample Rate&amp;lt;/b&amp;gt;: Open the horizontal menu on the oscilloscope. Change the horizontal scale to 10ms. Note that as you change the time, the &amp;quot;Sa Rate&amp;quot; menu item changes. This tells you the sample rate of the oscilloscope - how many voltages it saves every second. Note that as you go to shorter times, the scope must record MORE samples do account for the fine time resolution you are asking it to display.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the time scaling to 10ms.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; On a piece of paper, draw five complete sine waves. &lt;br /&gt;
&amp;lt;ul&amp;gt; &amp;lt;li&amp;gt;Let&#039;s say that this wave is recorded by the oscilloscope at a rate equal to its frequency - that is for every each complete wave, the oscilloscope records ONE data point. On your wave, put an x at each recorded data point - make sure these data points are equally spaced horizontally. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Draw a curve connecting these data points - this is the plot that the oscilloscope would show you.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How similar is this plot to the actual wave you drew?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Repeat the steps using a sampling rate that is a half and twice the frequency of your drawn wave (1 data point recorded for every 2 complete waves and 2 data points recorded for every complete wave).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What can you conclude about the above? How should the sample rate of your oscilloscope compare to the frequency of your signal such that you get a reliable trace on the scope? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What you&#039;ve drawn and discovered is called &amp;lt;i&amp;gt;aliasing&amp;lt;/i&amp;gt;, no let&#039;s observe it with the scope.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; With 10ms scaling, what is the sample rate of your scope? Make sure the scope is triggered on channel 2 and change the frequency of channel 1 to the match the sample rate. Does the scope display a similar graph to what you&#039;ve drawn?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the frequency to twice your sample rate (so that the sample rate is half the frequency). What does the graph look like? Does this agree with what you drew?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the frequency to half your sample rate (so the sample rate is twice the frequency). What does the graph look like? Does this agree with what you drew? (The frequency should be really large, so that many, many completed waves should appear on the screen - they should all merge together and just look like a thick band).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Why do the graphs on the oscilloscope change, rather than just stay stationary?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Termination ==&lt;br /&gt;
[[File:OscopeCir5.png|300px|right|thumbnail|&amp;lt;b&amp;gt;Circuit 5&amp;lt;/b&amp;gt;: Circuit for Termination (Voltage Divider)]]&lt;br /&gt;
{|class=&amp;quot;wikitable floatright&amp;quot;&lt;br /&gt;
|+ Base Function Generator Settings&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Channel 1&lt;br /&gt;
! Channel 2&lt;br /&gt;
|-&lt;br /&gt;
! Frequency&lt;br /&gt;
| 20 Hz || --&lt;br /&gt;
|-&lt;br /&gt;
! Amplitude&lt;br /&gt;
| 0.5 V || --&lt;br /&gt;
|-&lt;br /&gt;
! Shape&lt;br /&gt;
| Sine || OFF&lt;br /&gt;
|-&lt;br /&gt;
! Notes&lt;br /&gt;
| -- ||--&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
Build the circuit to the right - a voltage divider. The input voltage (from the function generator) is split between the two resistors (relative to their resistances). When the resistors are the same resistance, the voltage dropped across each resistor is half the input resistance. More specifically, the resistance across the 2nd resistor is&lt;br /&gt;
&amp;lt;br&amp;gt;&amp;lt;math&amp;gt;V_2=\frac{R_2}{R_2+R_1}V_0&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Test the above equation by comparing the input voltage (&amp;lt;math&amp;gt;V_0&amp;lt;/math&amp;gt;, voltage across both resistors) and the voltage across the 2nd resistor. Use horizontal cursors to check the voltages on each channel.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Measurement Menu&amp;lt;/b&amp;gt;: Press the &amp;quot;Measure&amp;quot; button on the screen. This menu gives a large variety of voltage and time measurement options for a channel. It will display the measured results at the bottom of the screen.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Set the source to Channel 1. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the voltage button and navigate the menu to select &amp;quot;Vamp&amp;quot;. To move the cursor, use the selection knob and you can select an option either by pressing the knob in or by pressing the button next to Voltage again. A measurement value should appear on the bottom of the screen and will tell you the amplitude of the measured signal (in this case the amplitude is defined to be the peak-to-peak voltage of the sine wave).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Change the source to channel 2 and display the peak-to-peak voltage for channel 2.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How do these amplitudes compare? Do they agree with the equation above, assuming the resistances of the resistors are (almost) equal.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The &amp;quot;clear&amp;quot; button will remove the measurements from the screen, although you should keep the measurement values on the screen for now.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Terminator&amp;lt;/b&amp;gt;: Add a voltage terminator between the BNC-to-banana-plug adapter and the input of channel 2 of the oscilloscope. Set the termination resistance to 50ohms. &lt;br /&gt;
&amp;lt;li&amp;gt; What happens to the amplitude to the voltage in channel 1? If the measured amplitude changes to a series of asterisks you&#039;ll have to change the vertical scale for channel 1 in order to measure the amplitude.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Change the termination resistance. How does the measured voltage change? Does the measured voltage get closer to what you expect (from the equation above) when the terminator&#039;s resistance gets larger or smaller?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The oscilloscope has an input resistance, that is there is a resistor connecting the positive and negative inputs of each channel of the oscilloscope. What is that resistance (it can be read from the front of the oscilloscope)? With your answer from the previous question, does this lead you to trust the voltage readings of the oscilloscope without a terminator?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The termination resistance (or the input resistance of the oscilloscope) and the 2nd resistor in the voltage divider are acting in parallel, such that the termination resistance is acting as a &amp;lt;i&amp;gt;load&amp;lt;/i&amp;gt; on the voltage divider - that is some extra electrical component that the voltage divider is supplying voltage for. The effective resistance of the two resistors in parallel is &amp;lt;math&amp;gt;R&#039;=\frac{R_2 R_{term}}{R_2+R_{term}}&amp;lt;/math&amp;gt;.&lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;For a very small termination resistance (&amp;lt;math&amp;gt;R_{term} &amp;lt;&amp;lt; R_2&amp;lt;/math&amp;gt;), how does the effective resistance, &amp;lt;math&amp;gt;R&#039;&amp;lt;/math&amp;gt; compare to the two resistances, &amp;lt;math&amp;gt;R_2&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;R_{term}&amp;lt;/math&amp;gt;? How would &amp;lt;math&amp;gt;R_{term}&amp;lt;/math&amp;gt; affect the voltage across resistor 2 above?&amp;lt;/li&amp;gt; &lt;br /&gt;
&amp;lt;li&amp;gt;If the termination resistance is much larger than the resistance of resistor 2 (&amp;lt;math&amp;gt;R_{term} &amp;gt;&amp;gt; R_2&amp;lt;/math&amp;gt;), how does the effective resistance,&amp;lt;math&amp;gt;R&#039;&amp;lt;/math&amp;gt; compare to the two resistances, &amp;lt;math&amp;gt;R_2&amp;lt;/math&amp;gt; and &amp;lt;math&amp;gt;R_{term}&amp;lt;/math&amp;gt;? How would &amp;lt;math&amp;gt;R_{term}&amp;lt;/math&amp;gt; affect the voltage across resistor 2 above?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; For using the oscilloscope to measure voltages in a circuit, do you think having a larger or smaller termination voltage would be preferred? Why?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
There are ways to prevent loads from affecting the behavior of voltage dividers. See the Electronics Obstacle Course section on [http://hank.uoregon.edu/wiki/index.php/Electronics_Obstacle_Course#Instrumentation_and_Loading Instrumentation and Loading] for more information.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; To look at the effects of the terminator more carefully, let&#039;s remove the voltage divider entirely: connect the output of channel 1 of the function generator to the terminator and then directly to the oscilloscope.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The function generator output also has a resistance between the positive and negative outputs of each channel. What is this resistance (it is on the front of the function generator)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the resistance of the terminator to match the resistance of the function generator. How does the amplitude of the wave measured on the oscilloscope compare to the amplitude that you have set on the function generator? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The matched resistances (output of function generator and input of oscilloscope) are acting as a voltage divider. According to the equation above, are you measuring what you expect with the oscilloscope?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Matching the resistances is called &amp;lt;b&amp;gt;impedance matching&amp;lt;/b&amp;gt; (recall that impedance is sort of a generalized resistance for resistors, capacitors, and inductors). Impedance matching is important for carefully measuring signals - especially those that are oscillating. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt; Similar to when light enters a medium with a different index of refraction, when electric waves in a wire reaches an object with a different impedance the wave can partially reflect backwards down the wire. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; If an electrical signal is traveling between two objects with different impedances, the signal can repeatedly reflect from each object, seriously impacting the signal seen by each object. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Impedance matching avoids this problem, but as a result, divides the measured voltage in half. For this reason, terminators are often labeled with having &amp;quot;3dB attenuation&amp;quot; as halving a signal is a 3 decibel decrease (review wikipedia&#039;s article on [https://en.wikipedia.org/wiki/Decibel decibels]).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; For example, individual photons can be measured by many devices, including an Avalanche Photo-Diode (APD). These will convert a photon it sees into a very short (nanosecond long) electric pulse. Counting these pulses with a device that is not properly impedance matched to the APD can result in photon counts that are too high - a portion of the electron pulse is reflected back to the APD, then back towards the counting device and counted a 2nd time. This can repeat a number of times, giving photon counts that are much higher than are actually being detected.&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Often, oscilloscopes have settings that can change the input impedance of the oscilloscope (note that the oscilloscope you are using does not). This allows you to easily set up the scope for making appropriate measurements.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Exporting Data==&lt;br /&gt;
With the function generator, sine wave with an amplitude of 0.8V and frequency 715 Hz. Use the measure menu to display the RMS voltage of the signal from the function generator. Record a single trace of this wave on the oscilloscope, showing at least 12 complete waves.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; &amp;lt;b&amp;gt;Exporting Data&amp;lt;/b&amp;gt; Insert a USB storage device into the USB slot on the front of the oscilloscope. &lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the Storage button and change the storage menu item to CSV.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the Data Depth to Displayed.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Press the blue menu button next to &amp;quot;External&amp;quot;. This will open a menu that should show you to file system of the USB drive. Use the menu buttons to change to whatever location on the drive you would like and then press the Save button. You can name the file whatever you&#039;d like.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Press the back button (arrow at the bottom of the menu) until you return to the storage menu&#039;s top level. Change the data depth to Maximum and save the data again (as a different file name than before, of course).&lt;br /&gt;
&amp;lt;li&amp;gt; After the file is done saving, you can remove the USB device.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Plug the USB device into a computer. Open the two CSV files with a text document reader (not a spreadsheet program). How is the data saved? Is the data saved as tab- or comma-deliminated (tabs or commas separate columns).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Open the files in a spreadsheet program (LibreOffice Calc is available on the computers in the advanced projects lab). When the program asks about importing data, make sure that the correct delimination is selected.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Plot the two sets of data as X-Y scatter plots. What is the difference between the &amp;quot;Displayed&amp;quot; (first file saved) and the &amp;quot;Maximum&amp;quot; data depth options?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Calculate the RMS voltage of the data.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; In LibreOffice Calc, you can use the functions sumsq(), sqrt(), and count() to calculate the RMS voltage. sumsq() calculates the sum of the squares of the data points given, count() gives the number of non-empty cells in the defined region, and sqrt() calculates the square root of its input. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Does this agree with the RMS voltage given by the oscilloscope? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How does it compare to the amplitude of the sine wave? Try dividing by the value you set the amplitude to.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3627</id>
		<title>Power Supplies</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3627"/>
		<updated>2022-01-13T01:57:33Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This module will teach you how to use both analog and digital power supplies.  While there will be different power supplies in the world in which you will interact, this will gain you the basic knowledge of power supplies to be able to handle any power supply you come across.&lt;br /&gt;
&lt;br /&gt;
The analog power supply we will work with is the model HY3003D-3 and information can be found in this [http://www.jameco.com/Jameco/Products/ProdDS/211684.pdf data sheet] or [http://www.rapidonline.com/pdf/554308_v1.pdf user manual].  It is important to note that many different manufacturers will make the HY3003D-3 model of regulated analog power supply.  While the interface might be different, the circuit diagram is the same.&lt;br /&gt;
&lt;br /&gt;
The digital power supply used is the Rigol DP1308A and information can be found [http://www.rigolna.com/products/dc-power-supplies/dp1000a/dp1308a/ here], specifically under the documents tab and looking at either the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-0021/0/-/-/-/-/file.pdf data sheet] or [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;br /&gt;
&lt;br /&gt;
For this module, you will need:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DP1308A digital DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY3003D-3 analog DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 2 Fluke 179 True RMS multimeters (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; An assortment of short wires&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Resistors: 4x100ohm and 1 10kohm (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A breadboard (or protoboard) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC-Banana Plug Adaptor (with male BNC plug)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC Cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This module assumes some familiarity with the [[Multimeters]] and detail will not always be explained when using these devices.&lt;br /&gt;
&lt;br /&gt;
This module is part of the [[General Lab Equipment Obstacle Course]].&lt;br /&gt;
&lt;br /&gt;
== Floating and Grounding ==&lt;br /&gt;
&lt;br /&gt;
[[File:floatvground.png|400px|thumb|right|Diagrams for the difference between floating and grounded power supplies.  Grounded power supply can not be used to boost already supplied volatages]]&lt;br /&gt;
&lt;br /&gt;
It is important to first discuss the difference between a floating power supply and a grounded power supply.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Ground_%28electricity%29 Ground] is a physical connection to the earth (ground).  For American three pronged outlets, the extra little third prong will attach to ground.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Floating_ground Floating] circuits will have a point of lowest potential, but this value could be anything relative to ground.  This is what occurs for American two pronged outlets and batteries.  Floating can be used to change voltages when there is already a high voltage occurring.  For example boosting 1000V to 1020V, where as a grounded supply would attempt to jump 1000V directly to ground.&lt;br /&gt;
&lt;br /&gt;
== Analog Power Supply ==&lt;br /&gt;
This section will cover use of the HY3003D-3 analog DC Power Supply.  First discuss the basic nature of the power supply and then discuss the three operating modes.&lt;br /&gt;
&lt;br /&gt;
=== General Analog Power Supply Information ===&lt;br /&gt;
&lt;br /&gt;
[[File:Analog power supply front.jpg|400px|thumb|right|Front of a HY3003D-3 analog power supply, noting that this particular model does not state it on the front]]&lt;br /&gt;
&lt;br /&gt;
The HY3003D-3 analog power supply has meaning to its name, breaking into parts HY-30-03-D-3&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY- Brand/manufacturer&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 30- Maximum output voltage (30 volts)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 03- Maximum output current (3 Amps)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; D-  Display type (LCD)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 3-  Number of outputs (3)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
There are three outputs on the analog power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Floating Constant 5V Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Master Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Slave Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 5V output gives out a constant 5V (surprisingly).  There are three modes in which the power supply can operate: independent, series and parallel.  In independent mode, the master and slave descriptions mean nothing.  Only while operating in the series or parallel mode will the master control the slave.  In those modes, only the controls for the master will function and it will control both supplies simultaneously.&lt;br /&gt;
&lt;br /&gt;
=== Constant 5V Output ===&lt;br /&gt;
&lt;br /&gt;
We will first discuss the constant 5 volt output.  First to explore, we use the multimeter in resistance mode to find the internal resistance of the constant power 5V power supply.  With the power off, measure the resistance from the positive terminal (red) and the negative terminal (black) of the 5V supply (far right in picture).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read across the constant voltage supply?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This value is important to know, as the internal resistance of the power supply can affect the desired output of the power supply depending on your load circuit.  Now measure the resistance between the positive terminal of the constant power supply and ground (a green terminal)&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply by default is a floating supply, so there should be no connection to ground.  If we wanted a ground 5 Volt supply, we could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise).&lt;br /&gt;
&lt;br /&gt;
=== Operating in Independent Mode ===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the center of the panel, you will find the dial/buttons (depending on model) for the operation mode of the analog power supply.  For this section, make sure that you are operating in independent mode.  In this mode, the two internal power supplies are independent and can be controlled individually.&lt;br /&gt;
&lt;br /&gt;
For each supply, you should be able to identify the current control knob, voltage control knob and three terminals for the voltage (red positive, black negative and green ground).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of one of the supplies?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of the other supply?  Are they the same?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to ground?  The negative terminal to ground?  Does this make sense?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Be default, both supplies are floating.  We could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise) if a grounded power source was required.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of the other supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Even though we are in independent mode, there is still a connection between the two internal supplies.  The resistance is very high, so unless the resistance of the circuit load is very high, this should be okay.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of constant 5V supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply is not connected in any way to the other two supplies.&lt;br /&gt;
&lt;br /&gt;
We will now move to discuss the different modes the analog power supply can operate in.&lt;br /&gt;
&lt;br /&gt;
==== Voltage Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps.png|400px|thumb|right|Basic circuit using the analog power supply across a resistor.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, you will set up a very basic circuit to test the power supply.  Simply put a voltage across a 100ohm resister as shown.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the current control knob all the way clockwise.  This will allow for the maximal current to by supplied by the power supply.  The voltage control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the voltage knob will change the voltage output.  The display will show the voltage in Volts.  Set the voltage to 7.5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the voltage too high, you will burn out the resistor!  We can protect delicate circuits with the current control knob.  We will be discuss current limiting below.&lt;br /&gt;
&lt;br /&gt;
Replace the 100ohm resistor with the 10kohm resistor and turn the voltage knob to the max.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the load can sustain all the current and we max out at the voltage of the power supply.  We will now move to discuss the using the power supply as a current source.&lt;br /&gt;
&lt;br /&gt;
... turn off the power supply.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps2.png|400px|thumb|right|Basic circuit using the analog power supply across four resistors in parallel.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, we use a slightly different circuit.  Put 4 100ohm resisters in parallel then power across the parallel circuit.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the voltage control knob all the way clockwise.  This will allow for the maximal voltage to by supplied by the power supply.  The current control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the current knob will change the current output.  The display will show the current in Amps.  Set the current to 0.3A.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the current too high, you will burn out the resistors!  When operating in this mode is in important to know the current limit of the load you are using.&lt;br /&gt;
&lt;br /&gt;
Now start adjusting the voltage knob counter clockwise, observing the voltage reading as it goes.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This idea is the basics behind the current limiting function of the power supply.  The current knob can be set to the desired maximal current and then the voltage can be varied.&lt;br /&gt;
&lt;br /&gt;
Return the current to zero and the voltage to the max.  Replace the parallel circuit with a 10kohm resistor.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens if you try to increase the current now?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each individual supply can only give 30V.  We will discuss how to get more voltage by operating in the series mode.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Limited Protection Mode ====&lt;br /&gt;
&lt;br /&gt;
These power supplies can be operated in a current limited mode in order to protect the load from high currents.  This section will describe how to set a current limit before the power supply has been connected to the load.&lt;br /&gt;
&lt;br /&gt;
With the supply off and nothing connected to the power supply, turn the current control all the way to the max and the voltage control to the minimum.  Turn on the power.  We want to adjust the adjust the voltage control to the voltage we will be using (or the maximum voltage).  At this point set it to 10V.  &#039;&#039;&#039;Important:&#039;&#039;&#039; Turn the current control back to all the way to minimum. Now connect the positive and negative terminal with a thick banana wire.  We can now adjust the current to our desired limit with the current control knob.  Set it to 0.3A.  Unplug the banana wire and turn the voltage all the way down.  Now attach the parallel circuit from the current source section.  Start upping the voltage now that the circuit is connected.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This is the safest and most effective way to protect a circuit before it is ever connected to the power supply.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
=== Operating in Series Mode ===&lt;br /&gt;
&lt;br /&gt;
[[File:analogpsseries.png|400px|thumb|right|Note that for series mode, we use the negative (black) terminal for the slave and the positive (red) terminal of the master.]]&lt;br /&gt;
&lt;br /&gt;
Switch the center switch to series mode.  This will vary depending on the model you are using.  In this mode the two supplies will become linked in series allowing for a greater voltage output.&lt;br /&gt;
&lt;br /&gt;
With the power off, connect the negative terminal of the slave to one end of a 10kohm resistor and the positive terminal of the master to the other end of the resistor.  This will connect across both supplies.  Adjust both slave knobs and the master&#039;s current control to the maximum value (clockwise) and the master&#039;s voltage knob to zero.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which supply mode are we operating in (voltage or current)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Turn on the power supply.  Start adjusting the master voltage and observe the voltage displays.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you notice about the voltage displays?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the maximal voltage you can get?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think the voltage across the resistor is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Set the voltage on the master display to 5 volts.  Get your multimeter handy and get ready to measure some voltages.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage across the resistor, what it is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the master, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the positive terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the slave to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each supply still creates its individual voltage, and the total of those can be utilized by treating them as one supply with the master&#039;s positive terminal and the slave&#039;s negative terminal.  The thing to remember is that the total voltage will be the sum of the displays.&lt;br /&gt;
&lt;br /&gt;
Turn down the voltage to zero.  Now remove the 10kohm resistor from the circuit and replace it with the 4 100 kohm resistors in parallel.  Now make the voltage across the resistors 4 volts (2 volts on each display).  Adjust the slave voltage knob all the way down and back up.  Then do the same with the slave current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;10&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave voltage is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave current is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Why do you think it works this way?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The master completely controls the voltage in this mode, so the slave voltage control has been disabled.  The slave current control can still be used to limit the current, but the master still continues to operate.  Make sure the slaves controls are both set to maximum.  Now adjust the master current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;13&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the current control kicks in?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the master current control will also control the slave&#039;s current as well as the voltage.  With this in mind, the series power supply can and should be operated using only the master controls.  If a current source was wanted, everything can be done with the master controls.&lt;br /&gt;
&lt;br /&gt;
=== Operating in Parallel Mode ===&lt;br /&gt;
&lt;br /&gt;
Operating in parallel mode allows for a high current output.  The power supplies will be linked in parallel with each other.  Again in this case, the slave controls should be opened to the max, and all adjustments to the current or voltage should be down with the master controls. The load can go across either the slave or master terminals, but it is suggested to use the master terminals.&lt;br /&gt;
&lt;br /&gt;
In this mode, the maximum voltage remains 30V, but the maximum current will be 6A.  As this is a high current that would require many resistors in parallel to get the current without burning out the resistors, we do not test this limit here.&lt;br /&gt;
&lt;br /&gt;
In this mode, the parallel supply can be used in either current or voltage limiting mode using the techniques given above.&lt;br /&gt;
&lt;br /&gt;
== Digital Power Supply ==&lt;br /&gt;
This section will cover use of the Rigol DP1308A digital DC Power Supply.  First discuss the basic nature of the power supply and then discuss the display modes and several operation modes of the power supply.&lt;br /&gt;
&lt;br /&gt;
=== General Digital Power Supply Information ===&lt;br /&gt;
[[File:Digital Power Supply Front.jpg|400px|thumb|right|Front of a Rigol DP1308A digital power supply]]&lt;br /&gt;
&lt;br /&gt;
Rigol DP1308A digital DC Power Supply doesn&#039;t seem to have as clear of a meaning to its specification number.  There are three outputs on the digital power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Independent 6V/5A Output (red)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common 25V/1A Output (yellow)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common -25V/1A Output (green)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 6V supply is isolated from the from the other two outputs for pure independent sources if needed.  The two common port supplies have the same reference point for zero voltage.   One supply will give positive voltages from that zero, while the other goes more negative.  This can be considered the two supplies being connected in series as above for the analog circuits.&lt;br /&gt;
&lt;br /&gt;
Again all the outputs are floating by default.  There is a ground terminal on the front that can be used to ground the terminals if desired.  Remember that if this is to be used to connect to the negative terminals as marked on the power supply.&lt;br /&gt;
&lt;br /&gt;
=== Front panel controls ===&lt;br /&gt;
[[File:Digital controls1.jpg|250px|thumb|right|Section of the panel for selecting power supplies and turning them on/off]]&lt;br /&gt;
&lt;br /&gt;
At first changing the voltage and current for the supplies can seem odd and cumbersome, so we will first familiarize ourselves with the controls.  Directly to the right of the display, you&#039;ll notice the buttons shown to the right.  With these controls, you are able to select which supply you will be controlling with the +6V, +25V and -25V buttons.  With the power on, try selecting the different outputs.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Looking at the display, how can you tell which one is active?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Above the output selection are the buttons for turning on/off all the supplies at the same time.  Press the All on button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why do you think they would prompt this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Select cancel using the button directly under cancel on the display. Typically turning all the supplies on is not the best idea unless you are sure everything is setup correctly.  Lets go ahead and select the 6V supply.  Now press the on/off button directly below it to turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can we tell the supply is turned on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is there more than one way to tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Go ahead and turn off the 6V supply.  We will move to discuss how to set the voltages and currents for the outputs.  You should notice at the bottom of the display the words Volt, Curr, O.V.P. and O.C.P.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which one is light up?  What do you think this means?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The buttons below each of those will allow to to set the voltage, current, over voltage protection and over current protection, respectively.&lt;br /&gt;
[[File:Digital controls3.jpg|400px|thumb|right|Panel section for setting values]]&lt;br /&gt;
If we want to set the voltage, there are two ways to do it:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjusting the value with the cursor.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Setting the value directly.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
First, we will use the cursor to set it.  Select Volt below the display to set the voltage.  You will notice a little white box in the lower smaller voltage.  The location of the box can be moved using the left and right arrows on the grey dial to the right of the display.  The value of the box can be shifted up and down using the up and down arrows.  Try setting the voltage to 0.5V and 1A.  Remember that to switch to current, you&#039;ll need to select it using the display.&lt;br /&gt;
&lt;br /&gt;
Now we use the number pad to set the voltage and current.  This is done by typing the value into the keypad, then selecting the units you wish to use.  To select the units, you can either use the grey buttons that were used to adjust previously.  Or using the buttons below the display.  Try setting the voltage back to 6V and current in 5A.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;6&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Do you have to have the current selected to change the current with this method?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which method do you prefer to use?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
We will discuss the over protection functions later, but for now know that they can be set in the same manner as for the voltage and current.&lt;br /&gt;
&lt;br /&gt;
=== Display Modes ===&lt;br /&gt;
&lt;br /&gt;
There are four display modes available for the Rigol digital power supply.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General display mode (default when turned on)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The two categories that change are the general/focus and waveform display.  The button to switch to focus mode is at the lower right of the display (looks like a magnifying glass), press it to see what happens.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Describe what is different.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Can you change which channel is focused on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This power supply has a timing mode that can be used to switch the voltage/current after a set amount of time.  The focus mode displays the next current and voltage settings when using timing.  We will discuss timing later.&lt;br /&gt;
&lt;br /&gt;
On the right side of the control panel you will see the &amp;quot;Wave Disp&amp;quot; under the number pad.  Press it now.  Turn on the current channel, then set the voltage to 10V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you notice?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to another value and wait a few seconds.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How often does this display update?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now switch to a different channel.  This channel will now be the focus of the display.  In this mode it is easy to see which channel is currently being set.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is this channel in waveform display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you think the general waveform display looks like right now?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Return to general mode by pressing the focus button again.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is it what you expected?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Depending on your application, some of the channels will remain fixed, while others can be set on a timer and which one you want to watch is important.&lt;br /&gt;
&lt;br /&gt;
Now that you have stepped through the different display settings, you should be able to use the one that is most applicable to your application!&lt;br /&gt;
&lt;br /&gt;
=== Voltage Supply ===&lt;br /&gt;
[[File:Digitalps.png|250px|thumb|right|4 100ohm resistor is parallel as load attached to the 6V channel of the digital power supply]]&lt;br /&gt;
&lt;br /&gt;
We will now explore using this power supply as a voltage source.  For our load we will use the 4 100ohm resistors in parallel. We will use the 6V channel and attach the load as shown in the figure.  You can have the display set to which ever mode you want.  Turn on the 6V channel.  Set the Voltage to 5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current currently set to? (if not 5A set to 5A)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to a few other values and witness the changes.&lt;br /&gt;
&lt;br /&gt;
These resistors cannot take too much current before they start to burn.  As was done for the analog supply, we will now examine current protection for our load.  For now set the voltage equal to zero before moving on.&lt;br /&gt;
&lt;br /&gt;
==== Current Limited and Over Current Protection ====&lt;br /&gt;
&lt;br /&gt;
There are two ways to protect the circuit from too much current.  The two ways are current limiting and over current protection (OCP).  Current limiting will hold the voltage below a certain value, while the OCP will shut off the channel completely.&lt;br /&gt;
&lt;br /&gt;
Set the current value to 0.1A.  Now set the voltage to 1V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the voltage to 5V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
As with the analog supplies, the highest the current will go is what we have set the current.  This is current limiting.&lt;br /&gt;
&lt;br /&gt;
Now set the voltage to zero and the current to 5A.  Press the OCP button below the display.  By default this is set to off and 5.5A.  Set the OCP. to 0.1A.  Then press the OCP button to turn on OCP.  Now set the voltage to 5V.  If you are using keypad entry for changing voltages, you will need to press the voltage button below the display first before setting the value.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happened?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the output on the display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will notice that not only did it turn off the channel, but it also turned off OCP.  Try turning OCP back on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;9&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What needs to happen before you can turn OCP back on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You typically want to reset your voltage and current before you turn the channel on again.&lt;br /&gt;
&lt;br /&gt;
Before moving on, you want to make sure that OCP is off.&lt;br /&gt;
&lt;br /&gt;
=== Current Supply, Voltage limiting and Over Voltage Protection ===&lt;br /&gt;
&lt;br /&gt;
To have a current supply, it follows the same as for the analog supply for a current supply.  You will set the voltage to maximum and then set the current to the desired amount.  &lt;br /&gt;
&lt;br /&gt;
Make sure you start with the channel off. We will use the setup from the voltage supply section. Set the voltage to 6V and current to 0A.  Now turn on the channel.  Set the current to 50mA.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the current to 0.3A&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will not get the 0.3A you want as the supply has now been voltage limited.  The same idea holds that the highest voltage you will get for a given current is set by the voltage input.&lt;br /&gt;
&lt;br /&gt;
Now set the Over Voltage Protection to 3V and then turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is this any different than when OCP was used?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Remember that if the channel is shut off for this reason to reset your current to zero before turning the channel back on and then enabling the OVP.&lt;br /&gt;
&lt;br /&gt;
Note! You can set both OCP and OVP at the same to protect from high voltages and currents at the same time!&lt;br /&gt;
&lt;br /&gt;
=== Series mode (multiplexed) ===&lt;br /&gt;
&lt;br /&gt;
This digital power supply has two of the channels automatically in series mode.  The yellow +25V channel and green -25V supply have a common port. To explore this we will use the multimeter to test the voltages at different points of the output channel.  Set the yellow channel to 5V and the green channel to 12V and turn on both channels.  Use the multimeter to answer the following questions:&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the 25V channel (red to the left)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the -25V channel (red to the right)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the output of the -25V channel to the output of the 25V channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case we can separately change the voltage for each channel.  There is no master power supply.  &lt;br /&gt;
&lt;br /&gt;
==== Tracking ====&lt;br /&gt;
We can setup either supply to control the output of the other.  This is done with the track button. With the yellow channel (+25V) set to 5V and the green channel (-25V) set to 12V, select the green channel.  Turn on both channels and press the track button on the right side of the panel.  The display will prompt that this will change the output, hit OK.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output of the green channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Try changing the voltage of the -25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now change the voltage of the +25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This has made the yellow channel the master and the green channel the slave.  Alternatively, the green channel is tracking the yellow channel.  Now select the yellow channel and hit the track button.  It&#039;ll prompt you about the voltage changing, hit OK.  The yellow channel is tracking the green channel now.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can you tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you press track again, the channel with stop tracking.&lt;br /&gt;
&lt;br /&gt;
Using the tracking is the best way to control the power supply between 0 and 50V using the two channels in series.&lt;br /&gt;
&lt;br /&gt;
=== Timing mode ===&lt;br /&gt;
&lt;br /&gt;
Timing mode allows for you to set up the power supply to change the voltage and current at set points in time.  To see how this is done, we will go through a sample timing scheme.  We will use the 4 100ohm resisters in parallel as our load and the +25V supply.  Press the utility button on the right side of the panel. Then press TimerSet under the display.  You should see the display shown to the right.&lt;br /&gt;
&lt;br /&gt;
[[File:timing.jpg|400px|thumb|right|Display for timing when first entered.]]&lt;br /&gt;
&lt;br /&gt;
With the buttons below the display, you can select which channel you will be modifying.  Select +25V.  The left side of the display that is currently empty will later show the graphs of the voltage and current as a function of time.  The right side is where the values will be set.  There are 5 steps that the timing can do.  For each step you can set the voltage, current and duration of the step.  The &amp;quot;Left&amp;quot; column is used for specialized timing and will not be discussed in this module.  If it needs to be used check the user manual for the power supply.  The arrows can be used to select which value you are setting.  To set a value, the keypad must be used.  Once the value is set, it will automatically step to the next box. Input the follow settings:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 1- 10V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 2- 5V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 3- 50mV, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 4- 25V, 0.5A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 5- 25V, 50mA, 40s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
It should look now look like the 2nd image in this section.  The left side now should visually show the settings and durations of each of the steps.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  How is the duration represented compared to the total time?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now press exit to return to the normal display.  Now change the display to focused waveform on the 6V channel.  Finally turn on the channel, press the timer button, hit OK, sit back and record the data values.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time as you see it on the display.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
[[File:timing2.jpg|400px|thumb|right|Display for timing after values have been entered.]]&lt;br /&gt;
You will notice that it turns off the channel at the end.  Press timer while the channel is off, then turn on the channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Often timing can be used to run a circuit start to finish.  At this point feel free to play with the timing, but be careful to not burn out your resistors!  To do this set the OCP to 0.5V, the voltage to zero and the current to zero.  Now turn on the channel, activate OCP and then hit the timer button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time for your new parameter set.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now you can set basic changes in voltage as a function of time.  Function generators will typically be used when a repeating change needs to be used.  Usage of them can be found The module is available [[Function Generators and Oscilloscopes|here]].&lt;br /&gt;
&lt;br /&gt;
=== Other Functions ===&lt;br /&gt;
&lt;br /&gt;
There are a few more settings and modes that can be used with the digital power supply such as&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Storing and recalling system parameters &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; USB, LAN and GPIB interfaces&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; U disk store&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Remote control via Web or commands&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Help function&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Utility settings&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
For more information on these settings and modes, please refer to the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Signals&amp;diff=3626</id>
		<title>RF Signals</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=RF_Signals&amp;diff=3626"/>
		<updated>2022-01-11T18:46:45Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;RF (short for Radio Frequency) signals are sinusoidal waves with frequencies in the MHz and GHz range. &lt;br /&gt;
&lt;br /&gt;
While there are RF sources designed specifically for these frequencies, our good friend the Rigol Function Generator can produce frequencies in the lower end of the RF spectrum and should be sufficient for investigating RF signals. These were discussed in detail [[Function Generators and Oscilloscopes|here]]. You should review their operation if needed, especially the section on performing Fourier Transforms, as they will be used extensively below.&lt;br /&gt;
&lt;br /&gt;
For this module, you will need&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigol DG1022 Function Generator (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigol DS1102E Oscilloscope (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Micro-circuits ZAD-1 RF mixer&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A selection of BNC cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A few coaxial-to-BNC adaptors&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Thorlabs Variable Resistance Terminator&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Measuring RF Power ==&lt;br /&gt;
&lt;br /&gt;
Connect the output of channel 1 of the function generator through the terminator (set to 50ohm) to channel 1 of the oscilloscope. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set channel 1 of the function generator to create a 1V amplitude sine wave with a frequency of 4MHz.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the horizontal and vertical scales of the scope to view the wave. Make sure the trigger for the scope is set to be on channel 1.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use the scope&#039;s measure function (or the scope&#039;s cursor) to get the amplitude of the wave. Is it what you expect? What is the amplitude if you remove the terminator? Does that make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use the math menu to create a fourier transform of the signal. With the cursor, does the frequency the scope reads match what the setting from the scope? If it doesn&#039;t, why do you think that might be?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Termination and Impedance Matching ==&lt;br /&gt;
&lt;br /&gt;
We discussed in the function generator and oscilloscope module the importance of impedance matching. To do this, we&#039;ll use a circulator (or, rather, a bi-directional coupler as a circulator). A circulator has three ports:, A, B and C. Signals that flow &amp;lt;i&amp;gt;into&amp;lt;/i&amp;gt; port A is sent out of port B. Signals that flow into port B is sent out of port C. Signals that flow into port C are sent out of port A. &lt;br /&gt;
&lt;br /&gt;
This is particularly useful for looking at impedance matching. As discussed in the function generator/oscilloscope module, if the impedances, measured in ohm, of two electrical elements signals that change in time can be reflected off one end and back towards the other end. If in between these two elements there is a circulator, the reflected signal will be sent to third port rather than going to the original source of the signal. Measuring the voltage on this third port lets us measure the signal that is reflected from one of the circuit elements.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Attach the coupler as follows&lt;br /&gt;
&amp;lt;ul&amp;gt; &amp;lt;li&amp;gt;The output of Channel 1 of the signal generator should be attached to the OUTPUT port of the coupler. This is port A of the circulator.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The INPUT port of the coupler should be attached directly to channel 1 of the oscilloscope. This is port B of the circulator.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The COUPLED port of the coupler should be attached, through a 50-ohm terminator, to channel 2 of the oscilloscope. This is port C of the circulator.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; In this configuration, the signal from the function generator will flow through port A (output) to port B (input) and then to the oscilloscope&#039;s channel 1. Any of that signal that is reflected from channel 1 will flow into port B (input) to port C (coupled) and then to the oscilloscope channel 2.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Yes, it&#039;s weird that port A of the circulator is the input port of the coupler, but functioning as a circulator is not really the purpose of the coupler, which is nominally used to combine two signals (from the input and the coupled ports) into an output port. But, it can function as a circulator (or sometimes called a &amp;quot;reflectometer&amp;quot;) so we&#039;ll use it as one.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Good job! Now disconnect what you just connected. We&#039;re going to use a different setup first. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;Connect the output of channel 1 of the function generator directly to channel 1 of the oscilloscope. Set the frequency of the function generator to create a 0.5V amplitude, 5Hz sine wave. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Set the oscilloscope to trigger off channel 1 in edge mode and set the trigger level to something value a little larger than 0V (but less than 0.5V, of course). Make sure the vertical axis of the scope will show the entirety of your wave and the horizontal axis should be at least 100ms/division. &lt;br /&gt;
&amp;lt;li&amp;gt; In the trigger menu of the oscilloscope, change the sweep type to single - this will record a single (duh) trace of the oscilloscope when it is triggered and display just that one trace. The screen should erase any plot and the tun/stop button should turn green. If it red, press it and the screen should clear. The scope is now waiting for a trigger.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; On the function generator, press the &amp;quot;burst&amp;quot; button. Use the blue buttons under the scope the set the mode to &amp;quot;Ncycle&amp;quot; (the first menu option, don&#039;t set it to gated), the number of cycles should be 1, the phase should be 0 and the delay should be 0s. Now press the button under &amp;quot;Trigger&amp;quot; and then the button under &amp;quot;Source&amp;quot;. Change the source to &amp;quot;Manual&amp;quot; and stay in this menu. Pressing the button under &amp;quot;manual&amp;quot; again will create a pulse as you defined it above. Try it.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Did that work? Good. Trigger the function generator again. What happened with the oscilloscope? Pressing the red &amp;quot;RUN/STOP&amp;quot; button will clear the screen and allow you to trigger it again. Do this. Cool, huh?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now change the output of channel 1 to a 4MHz square wave. Change the horizontal scale of the oscilloscope so that it can show your wave (in burst mode, the frequency is really only setting the period of the wave as there isn&#039;t really a frequency as the wave won&#039;t repeat).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; NOW, attach the coupler as discussed above. Trigger the scope. Any signal on channel 2 is the signal that is reflected from the oscilloscope&#039;s channel 1 input. Weird, huh?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Put the variable terminator in line with the input to channel 1 of the oscillosope. Repeat the triggering for various termination resistances. &lt;br /&gt;
&amp;lt;ul&amp;gt;&amp;lt;li&amp;gt;Note how the height of the reflected signal and the height of the measured signal change with the termination resistance, specifically how does the measured signal voltage compare to the output voltage when you terminate with 50-ohm? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Why is a 50-ohm terminator often referred to as a 3dB?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How does the phase of the reflected wave compare to that of the original wave? For this, you may want to have the terimator&#039;s resistance high and use a sine wave.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How does this compare to reflections for light off a medium with a higher refractive index? How does it compare to reflections of light off a medium with a lower refractive index?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Add another variable terminator to the input to channel 1 (it should have two connected together now). Set both terminators to 50ohm. &lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What is the total input impedance of the oscilloscope now?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How does this compare to the 50ohms impedance of the function generator?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happened to the phase of the reflected wave? How does it compare to the original wave?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Does this agree with the your comparison to reflected light waves above? Complete the table below.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&amp;lt;center&amp;gt;&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! &lt;br /&gt;
! Light &amp;lt;br&amp;gt; (Refractive Index)&lt;br /&gt;
! Electrical Signal &amp;lt;br&amp;gt; (Impedance)&lt;br /&gt;
|-&lt;br /&gt;
! Reflection off lower &amp;lt;br&amp;gt; index/impedance medium&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|-&lt;br /&gt;
! Reflection off higher &amp;lt;br&amp;gt; index/impedance medium&lt;br /&gt;
| &lt;br /&gt;
| &lt;br /&gt;
|}&lt;br /&gt;
&amp;lt;b&amp;gt;Change in Phase after Reflection&amp;lt;/b&amp;gt;&lt;br /&gt;
&amp;lt;/center&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Splitters ==&lt;br /&gt;
&lt;br /&gt;
Splitters are fairly straight forward as they just split an RF signal into two outputs.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Plug the output of channel 1 of the function generator into the S port of the splitter. Connect the two channels of the oscilloscope to outputs 1 and 2 of the splitter (make sure you match impedance appropriately).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the output of channel 1 to 10Mhz and a 1V amplitude.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the frequency of each wave on the oscilloscope? Does it agree with your 10MHz input? If it doesn&#039;t, why not?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Estimate the amplitudes of the two waves on the oscilloscope. How doe they compare to the input amplitude from the function generator? Why do you think they are related this way?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Estimate any phase difference between the two signals on the oscilloscope. How does that phase difference compare to the phase difference listed in the data sheet for the splitter?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
You can also use splitters as &amp;lt;i&amp;gt;combiner&amp;lt;/i&amp;gt;.&lt;br /&gt;
&amp;lt;ol start=6&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Put a 3MHz, 1V amplitude sine wave into port 1 of the splitter.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Put a 7MHz, 1V amplitude sine wave into port 2 of the splitter.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Connect the S port of the splitter to the oscilloscope and and take a fourier transform of the signal. What frequencies are present?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Mixers ==&lt;br /&gt;
Mixers combine RF frequencies, either taking their sum or their difference. Each mixer has 3 inputs&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Local Oscillator(LO)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Radio Frequency (RF) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Intermediate Frequency (IF)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The LO port is &amp;lt;i&amp;gt;always&amp;lt;/i&amp;gt; an input. The other two ports change whether they are an input or output depending on your application. For simplicity, we&#039;ll assume that the LO signal is always the largest of the two inputs.&lt;br /&gt;
&lt;br /&gt;
If you would like an output that is SMALLER than 2nd (non-LO) input, the RF port is the input and the IF port is the output. Specifically, the output, IF, is the difference between the inputs:&lt;br /&gt;
&amp;lt;center&amp;gt;&amp;lt;math&amp;gt;f_{IF}=|f_{LO}-f_{RF}|&amp;lt;/math&amp;gt;&amp;lt;/center&amp;gt;&lt;br /&gt;
This is called down-conversion, as it takes two signals and creates a third that is &amp;lt;i&amp;gt;lower&amp;lt;/i&amp;gt; in frequency than both of them.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
If, on the other hand, you want to create a signal that is larger than the inputs, the RF is the output and the IF is in the input:&lt;br /&gt;
&amp;lt;center&amp;gt;&amp;lt;math&amp;gt;f_{RF2}=f_{LO}+f_{IF}&amp;lt;/math&amp;gt;&amp;lt;/center&amp;gt;&lt;br /&gt;
additionally, you will actually get a 2nd frequency that is (again) the difference between the inputs:&lt;br /&gt;
&amp;lt;center&amp;gt;&amp;lt;math&amp;gt;f_{RF1}=f_{LO}-f_{IF}&amp;lt;/math&amp;gt;&amp;lt;/center&amp;gt;&lt;br /&gt;
This is called upconversion because it creates two signals that are &amp;lt;i&amp;gt;larger&amp;lt;/i&amp;gt; than the input signal (unless, of course, the IF input is larger than half the LO signal).&lt;br /&gt;
&lt;br /&gt;
The two conversion types are illustrated below.&lt;br /&gt;
[[File:mixer-combos.png|x200px|thumb|center|RF Mixer frequency conversion. Image from [http://www.markimicrowave.com/assets/appnotes/mixer_basics_primer.pdf Marki microwave&#039;s Mixer Basics Primer].]]&lt;br /&gt;
&lt;br /&gt;
This is how mixers work ideally, but in practice the output signals contain many combinations of the input signals, which can be confusing. We&#039;ll see that below. Additionally, because the frequencies are being combined, the waveforms that are produced is very complex and difficult to analyze just from looking at it, so we&#039;ll use the FFT function of the oscilloscope to look at the spectrum of the created wave.&lt;br /&gt;
&lt;br /&gt;
We&#039;ll look at &amp;lt;b&amp;gt;down-conversion&amp;lt;/b&amp;gt; first.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use channel 2 of the function generator as the LO input and set it t0 4MHz and an &amp;lt;i&amp;gt;amplitude&amp;lt;/i&amp;gt; of 0.25V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use channel 1 of the function generator as the RF input and set the amplitude to 0.25V. Set the frequency to 3MHz.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Connect the IF output of the mixer to channel 1 of the oscilloscope. Set the horizontal scaling to 500ns/division.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How does the signal look?  Use the Y-cursor on the oscilloscope to estimate some frequencies you see in the signal (recall that the cursor menu automatically shows you frequency information as &amp;lt;math&amp;gt;|1/\Delta x|&amp;lt;/math&amp;gt; where &amp;lt;math&amp;gt;\Delta x&amp;lt;/math&amp;gt; is the difference between the locations of cursors A and B).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now have the function generator perform a fourier transform on the data. Adjust the scales of the math window appropriately. Use the cursors to estimate the frequencies of the peaks shown. Does this agree with what you measured above?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjust the frequency of channel 1 and observe how the shape of the wave changes and how the locations of the peaks in the FFT change.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Obviously, this mixer is not perfect. Rather than just getting the difference between the two signals, you get a bunch of other combinations of them of the form &amp;lt;math&amp;gt;f_{out}=\left|n f_{LO}+m f_{RF}\right|&amp;lt;/math&amp;gt; where n and m can be any integer (including negative values).&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; For an ideal mixer, what are the values for n and m?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; For each peak in the spectrum, what values are the appropriate values for m and n? (hint, you might be helped by looking at how the peaks move if you change the RF frequency a little).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;!-- The students should only get ODD values for m and n and they should probably be combinations of {-3, -1, 1, 3} --&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you note about the values of m and n?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now, let&#039;s look at &amp;lt;b&amp;gt;up-conversion&amp;lt;/b&amp;gt;.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;8&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use channel 2 of the function generator as the LO input and set it t0 4MHz and an &amp;lt;i&amp;gt;amplitude&amp;lt;/i&amp;gt; of 0.25V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use channel 1 of the function generator as the IF input and set the amplitude to 0.25V. Set the frequency to 3MHz.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Connect the RF output of the mixer to channel 1 of the oscilloscope. Set the horizontal scaling to 500ns/division.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How does the spectrum of the signal compare to the down-conversion spectrum?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What frequencies of the largest few peaks in the spectrum?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Using the mixer as you have above is effectively doing a &amp;lt;b&amp;gt;heterodyne&amp;lt;/b&amp;gt; measurement on the signal. A heterodyne measurement takes two signals with different frequencies and measures the frequency difference and sum between them. This is a common technique in optics experiments (although often the sum of two frequencies for optical signals is well beyond the limits of a photo-detector). &lt;br /&gt;
&lt;br /&gt;
There is a another technique called a &amp;lt;b&amp;gt;homodyne&amp;lt;/b&amp;gt; measurement, which uses the same (hence, &amp;lt;i&amp;gt;homo&amp;lt;/i&amp;gt;dyne) signal for both the LO signal and the RF/IF signal after something has been done to the RF signal so we actually get a frequency difference. Let&#039;s see why this is useful. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=13&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use the mixer as a down converter and look at a 6MHz LO and 3MHz RF signal on channel 1 of the oscilloscope (including looking at the fourier transform&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use a splitter to make a copy of a 3MHz, 1V amplitude signal from channel 1 of the function generator.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Attach one &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Attenuation and Filtering ==&lt;br /&gt;
&lt;br /&gt;
Attach channel 1 of function generator through one of the 5MHz low-pass filters to the oscilloscope (note that the low-pass filter is 50-ohm terminated, so we don&#039;t need to use a terminator). The function generator should produce a 0.25V amplitude sine wave. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Set the scope to trigger on channel 1, but set the trigger mode to &amp;quot;slope&amp;quot; - that is the scope will trigger based on what the slope of the signal is. Set the &#039;When&amp;quot; menu to the top option - a rising slope with a greater than symbol (&amp;gt;). This will trigger the scope whenever it encounters a slope that is larger than a set value. &lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; To set this value, use the &amp;quot;time&amp;quot; menu item to look at how the signal changes over some window. Set it to 1 μs, so that the voltage on channel 1 is compared over a range of 1us. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use the trigger level knob to change the &amp;quot;upper level&amp;quot; of the change you are looking for. The &amp;quot;low level&amp;quot; is set to -4mV. The difference between the two level is the voltage change you are looking for to trigger from. Set the Up Lvl to 0 mV.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; So, the trigger slope is the difference between the levels (4mV) divided by the time window (1μs). Thus the slope is 4mV/μs.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Setting the &amp;quot;When&amp;quot; option to raising  and &amp;gt;, will trigger the scope only when it sees a signal that has a positive (raising) slope that is greater than the set level (4mV/μs). You could also set When option to trigger off slopes that are less than than the set level or equal to the set level. These can be of use when you are looking at signals with a variety of frequencies and you wish to trigger only off some of them.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Make sure you are in the raising and &amp;gt; option. Since we are using large frequencies, we should always have a slope that is quite large (hundreds or thousands of mV/μs).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use the scope&#039;s math menu to create a fourier transform of the signal. Set the horizontal axis of channel 1 to 200ns/division and the horizontal axis of the fourier transform for 1.25MHz/division. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Have the function generator sweep the frequency between 500kHz and 10Mhz over 10s (make sure the sweep&#039;s trigger is set to internal so that it loops the sweep constantly). What do you note about the spectrum? How does it change as it approaches higher frequencies?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjust the vertical scale of the spectrum. &amp;lt;i&amp;gt;Carefully&amp;lt;/i&amp;gt; estimate the frequency at which the height drops to around 1/2 its lower-frequency voltage (a change of -3dB). Liberal use of pausing the oscilloscope from recording data via the &amp;quot;Run/Stop&amp;quot; button might help this. It might also help you to change the range of the frequency sweep to &amp;quot;zoom in&amp;quot; on frequencies.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Look up the data sheet for the BLP-5+. Does your estimate for the 3dB drop above agree with the data sheet?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
 &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
To look at filtering, we will use a mixer for frequency up-conversion. So, attach channel 2 (5MHz, 0.25V amplitude) to the LO port of the mixer, Channel 1 (4MHz, 0.25V amplitude)&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=General_Lab_Equipment_Obstacle_Course&amp;diff=3625</id>
		<title>General Lab Equipment Obstacle Course</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=General_Lab_Equipment_Obstacle_Course&amp;diff=3625"/>
		<updated>2022-01-11T18:45:40Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Function Generators and Oscilloscopes */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This obstacle course will give you a general introduction to a variety of important equipment in a scientific laboratory.&lt;br /&gt;
&lt;br /&gt;
While the course focuses on specific instruments available in the Advanced Projects Lab, the techniques and uses of each instrument are generally applicable to other versions of that instrument.&lt;br /&gt;
&lt;br /&gt;
== Multimeters ==&lt;br /&gt;
[[File:Fluke.jpg|300px|thumb|right|Fluke 179 Multimeter and accessories ]]&lt;br /&gt;
The multimeter module will introduce you to use of a Fluke 179 Multimeter (pictured to the right). It will cover the following topics:&lt;br /&gt;
&amp;lt;ul&amp;gt; &lt;br /&gt;
&amp;lt;li&amp;gt; Measuring voltage&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measuring current&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measuring resistance and testing for continuity &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Diode check&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; AC signals, frequency response &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Capacitance &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Clamp meter &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Temperature Measurements&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This module is [[Multimeters|here]].&lt;br /&gt;
&lt;br /&gt;
== Power Supplies ==&lt;br /&gt;
&lt;br /&gt;
[[File:Digital Power Supply Front.jpg|400px|thumb|right|digital power supply]]&lt;br /&gt;
&lt;br /&gt;
This module will introduce you to two types of power supplies. It will cover&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul&amp;gt; &lt;br /&gt;
&amp;lt;li&amp;gt; Floating and Grounding modes&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Analog Power Supplies&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Digital Power Supplies&amp;lt;/li&amp;gt; &lt;br /&gt;
&amp;lt;li&amp;gt; Current and Voltage Limiting &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Independent, Parallel and Series (multiplexed) modes.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The module is [[Power Supplies|here]].&lt;br /&gt;
&lt;br /&gt;
== Function Generators and Oscilloscopes ==&lt;br /&gt;
[[File:FunGenAndOScope.png|300px|thumb|right|Rigol Function Generator (top) and Oscilloscope (bottom)]]&lt;br /&gt;
This module will introduce you to use of the Rigol DG1022 (or similar) Function Generator and the DS1102E Oscilloscope (or similar) - both pictured to the right. The following topics will be introduced:&lt;br /&gt;
&lt;br /&gt;
Function Generator Topics:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Frequency, amplitude, offset, phase &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Frequency sweep/ramp &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Sine, square (incl. TTL), triangle, sawtooth, arbitrary waveforms (possibly a demonstration of Fourier components) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
O-scope Topics:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Voltage/time scale &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Coupling &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Triggering &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Scope probes &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Termination &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Bandwidth, sampling &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Aliasing &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Analyzing data: cursors, averaging, math menu &lt;br /&gt;
&amp;lt;li&amp;gt; Exporting data &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The module is available [[Function Generators and Oscilloscopes|here]].&lt;br /&gt;
&lt;br /&gt;
== RF Signals ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measuring RF power &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Termination and impedance matching &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Attenuation and filtering &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Splitters, mixers, and switches &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The module is available [[RF Signals|here]].&lt;br /&gt;
&lt;br /&gt;
== Lock-in Amplifier ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Basic idea of operation; reason for using  &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Use switch to turn on and off a highly attenuated signal and detect it with the lock-in &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The module is available [[Lock-in Amplifier|here]].&lt;br /&gt;
&lt;br /&gt;
== Frequency Counters ==&lt;br /&gt;
&lt;br /&gt;
Measure the frequency of an RF source; map frequency vs. voltage curve of a voltage controlled oscillator (VCO)&lt;br /&gt;
&lt;br /&gt;
The module is available [[Frequency Counters|here]].&lt;br /&gt;
&lt;br /&gt;
== RF Spectrum Analyzer ==&lt;br /&gt;
&#039;&#039;&#039;Always be careful to ensure signal input to spectrum analyzer is not too large&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What does a spectrum analyzer do? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Attach wire-loop antenna and find radio stations &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Mix two RF signals and observe the expected spectrum &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measuring amplitude of signal above background &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Save and export data &lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The module is available [[RF Spectrum Analyzer|here]].&lt;br /&gt;
&lt;br /&gt;
== Soldering ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Soldering technique&lt;br /&gt;
&amp;lt;ul&amp;gt; &lt;br /&gt;
&amp;lt;li&amp;gt; Cleaning iron tip &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Heat pieces to be soldered (hot iron, short time) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Avoid cold solder joints &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Look for shiny and smooth result &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Tools of the trade: heatshrink tubing, desoldering pump, solder wick, wire strippers, soldering gun, heat gun, rosin flux &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Solder end of DB9 cable (using only 4 or 5 conductors) to practice stripping wire, using heatshrink tubing, and creating usable product &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Construct voltage divider on perfboard with BNC input/output connectors &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The module is available here [[Soldering|here]].&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3624</id>
		<title>Power Supplies</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Power_Supplies&amp;diff=3624"/>
		<updated>2022-01-11T18:44:23Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This module will teach you how to use both analog and digital power supplies.  While there will be different power supplies in the world in which you will interact, this will gain you the basic knowledge of power supplies to be able to handle any power supply you come across.&lt;br /&gt;
&lt;br /&gt;
The analog power supply we will work with is the model HY3003D-3 and information can be found in this [http://www.jameco.com/Jameco/Products/ProdDS/211684.pdf data sheet] or [http://www.rapidonline.com/pdf/554308_v1.pdf user manual].  It is important to note that many different manufacturers will make the HY3003D-3 model of regulated analog power supply.  While the interface might be different, the circuit diagram is the same.&lt;br /&gt;
&lt;br /&gt;
The digital power supply used is the Rigol DP1308A and information can be found [http://www.rigolna.com/products/dc-power-supplies/dp1000a/dp1308a/ here], specifically under the documents tab and looking at either the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-0021/0/-/-/-/-/file.pdf data sheet] or [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;br /&gt;
&lt;br /&gt;
For this module, you will need:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DP1308A digital DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY3003D-3 analog DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 2 Fluke 179 True RMS multimeters (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; An assortment of short wires&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Resistors: 4x100ohm and 1 10kohm (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A breadboard (or protoboard) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC-Banana Plug Adaptor (with male BNC plug)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC Cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This module assumes some familiarity with the [[Multimeters]] and detail will not always be explained when using these devices.&lt;br /&gt;
&lt;br /&gt;
This module is part of the [[General Lab Equipment Obstacle Course]].&lt;br /&gt;
&lt;br /&gt;
== Floating and Grounding ==&lt;br /&gt;
&lt;br /&gt;
[[File:floatvground.png|400px|thumb|right|Diagrams for the difference between floating and grounded power supplies.  Grounded power supply can not be used to boost already supplied volatages]]&lt;br /&gt;
&lt;br /&gt;
It is important to first discuss the difference between a floating power supply and a grounded power supply.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Ground_%28electricity%29 Ground] is a physical connection to the earth (ground).  For American three pronged outlets, the extra little third prong will attach to ground.&lt;br /&gt;
&lt;br /&gt;
[https://en.wikipedia.org/wiki/Floating_ground Floating] circuits will have a point of lowest potential, but this value could be anything relative to ground.  This is what occurs for American two pronged outlets and batteries.  Floating can be used to change voltages when there is already a high voltage occurring.  For example boosting 1000V to 1020V, where as a grounded supply would attempt to jump 1000V directly to ground.&lt;br /&gt;
&lt;br /&gt;
== Analog Power Supply ==&lt;br /&gt;
This section will cover use of the HY3003D-3 analog DC Power Supply.  First discuss the basic nature of the power supply and then discuss the three operating modes.&lt;br /&gt;
&lt;br /&gt;
=== General Analog Power Supply Information ===&lt;br /&gt;
&lt;br /&gt;
[[File:Analog power supply front.jpg|400px|thumb|right|Front of a HY3003D-3 analog power supply, noting that this particular model does not state it on the front]]&lt;br /&gt;
&lt;br /&gt;
The HY3003D-3 analog power supply has meaning to its name, breaking into parts HY-30-03-D-3&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; HY- Brand/manufacturer&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 30- Maximum output voltage (30 volts)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 03- Maximum output current (3 Amps)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; D-  Display type (LCD)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; 3-  Number of outputs (3)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
There are three outputs on the analog power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Floating Constant 5V Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Master Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Slave Output&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 5V output gives out a constant 5V (surprisingly).  There are three modes in which the power supply can operate: independent, series and parallel.  In independent mode, the master and slave descriptions mean nothing.  Only while operating in the series or parallel mode will the master control the slave.  In those modes, only the controls for the master will function and it will control both supplies simultaneously.&lt;br /&gt;
&lt;br /&gt;
=== Constant 5V Output ===&lt;br /&gt;
&lt;br /&gt;
We will first discuss the constant 5 volt output.  First to explore, we use the multimeter in resistance mode to find the internal resistance of the constant power 5V power supply.  With the power off, measure the resistance from the positive terminal (red) and the negative terminal (black) of the 5V supply (far right in picture).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read across the constant voltage supply?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This value is important to know, as the internal resistance of the power supply can affect the desired output of the power supply depending on your load circuit.  Now measure the resistance between the positive terminal of the constant power supply and ground (a green terminal)&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply by default is a floating supply, so there should be no connection to ground.  If we wanted a ground 5 Volt supply, we could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise).&lt;br /&gt;
&lt;br /&gt;
=== Operating in Independent Mode ===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
In the center of the panel, you will find the dial/buttons (depending on model) for the operation mode of the analog power supply.  For this section, make sure that you are operating in independent mode.  In this mode, the two internal power supplies are independent and can be controlled individually.&lt;br /&gt;
&lt;br /&gt;
For each supply, you should be able to identify the current control knob, voltage control knob and three terminals for the voltage (red positive, black negative and green ground).&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of one of the supplies?  Does this seem reasonable?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to the negative terminal of the other supply?  Are they the same?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal to ground?  The negative terminal to ground?  Does this make sense?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Be default, both supplies are floating.  We could connect the negative (black) terminal to the ground (green) with a wire (banana or otherwise) if a grounded power source was required.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of the other supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Even though we are in independent mode, there is still a connection between the two internal supplies.  The resistance is very high, so unless the resistance of the circuit load is very high, this should be okay.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What resistance do you read from the positive terminal of one supply, to the positive terminal of constant 5V supply?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The 5V supply is not connected in any way to the other two supplies.&lt;br /&gt;
&lt;br /&gt;
We will now move to discuss the different modes the analog power supply can operate in.&lt;br /&gt;
&lt;br /&gt;
==== Voltage Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps.png|400px|thumb|right|Basic circuit using the analog power supply across a resistor.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, you will set up a very basic circuit to test the power supply.  Simply put a voltage across a 100ohm resister as shown.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the current control knob all the way clockwise.  This will allow for the maximal current to by supplied by the power supply.  The voltage control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the voltage knob will change the voltage output.  The display will show the voltage in Volts.  Set the voltage to 7.5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the voltage too high, you will burn out the resistor!  We can protect delicate circuits with the current control knob.  We will be discuss current limiting below.&lt;br /&gt;
&lt;br /&gt;
Replace the 100ohm resistor with the 10kohm resistor and turn the voltage knob to the max.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the load can sustain all the current and we max out at the voltage of the power supply.  We will now move to discuss the using the power supply as a current source.&lt;br /&gt;
&lt;br /&gt;
... turn off the power supply.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Supply ====&lt;br /&gt;
&lt;br /&gt;
[[File:analogps2.png|400px|thumb|right|Basic circuit using the analog power supply across four resistors in parallel.  The multimeters should be used for ammeter and voltmeter.]]&lt;br /&gt;
&lt;br /&gt;
To explore this, we use a slightly different circuit.  Put 4 100ohm resisters in parallel then power across the parallel circuit.  To verify the operation of the power supply, we also want to include a ammeter in the circuit and a voltmeter across the resistor.  Either power supply can be used for this section; the controls work the same for both.&lt;br /&gt;
&lt;br /&gt;
With the power off, turn the voltage control knob all the way clockwise.  This will allow for the maximal voltage to by supplied by the power supply.  The current control knob should be turned all the way down by turning it all the way counter-clockwise.  Turn on the power supply!  Adjusting the current knob will change the current output.  The display will show the current in Amps.  Set the current to 0.3A.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What current do you read in the voltmeter?  Is it the same as the reading on the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the display read?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What voltage does the ammeter read?  Is it the same as the power supply?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you turn up the current too high, you will burn out the resistors!  When operating in this mode is in important to know the current limit of the load you are using.&lt;br /&gt;
&lt;br /&gt;
Now start adjusting the voltage knob counter clockwise, observing the voltage reading as it goes.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This idea is the basics behind the current limiting function of the power supply.  The current knob can be set to the desired maximal current and then the voltage can be varied.&lt;br /&gt;
&lt;br /&gt;
Return the current to zero and the voltage to the max.  Replace the parallel circuit with a 10kohm resistor.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens if you try to increase the current now?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each individual supply can only give 30V.  We will discuss how to get more voltage by operating in the series mode.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==== Current Limited Protection Mode ====&lt;br /&gt;
&lt;br /&gt;
These power supplies can be operated in a current limited mode in order to protect the load from high currents.  This section will describe how to set a current limit before the power supply has been connected to the load.&lt;br /&gt;
&lt;br /&gt;
With the supply off and nothing connected to the power supply, turn the current control all the way to the max and the voltage control to the minimum.  Turn on the power.  We want to adjust the adjust the voltage control to the voltage we will be using (or the maximum voltage).  At this point set it to 10V.  Now connect the positive and negative terminal with a thick banana wire.  We can now adjust the current to our desired limit with the current control knob.  Set it to 0.3A.  Unplug the banana wire and turn the voltage all the way down.  Now attach the parallel circuit from the current source section.  Start upping the voltage now that the circuit is connected.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why is this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This is the safest and most effective way to protect a circuit before it is ever connected to the power supply.&lt;br /&gt;
&lt;br /&gt;
...Turn off the power supply&lt;br /&gt;
&lt;br /&gt;
=== Operating in Series Mode ===&lt;br /&gt;
&lt;br /&gt;
[[File:analogpsseries.png|400px|thumb|right|Note that for series mode, we use the negative (black) terminal for the slave and the positive (red) terminal of the master.]]&lt;br /&gt;
&lt;br /&gt;
Switch the center switch to series mode.  This will vary depending on the model you are using.  In this mode the two supplies will become linked in series allowing for a greater voltage output.&lt;br /&gt;
&lt;br /&gt;
With the power off, connect the negative terminal of the slave to one end of a 10kohm resistor and the positive terminal of the master to the other end of the resistor.  This will connect across both supplies.  Adjust both slave knobs and the master&#039;s current control to the maximum value (clockwise) and the master&#039;s voltage knob to zero.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which supply mode are we operating in (voltage or current)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Turn on the power supply.  Start adjusting the master voltage and observe the voltage displays.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you notice about the voltage displays?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the maximal voltage you can get?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think the voltage across the resistor is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Set the voltage on the master display to 5 volts.  Get your multimeter handy and get ready to measure some voltages.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage across the resistor, what it is?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the master, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the positive terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the master to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage from the positive terminal of the slave to the negative terminal of the slave, what it is?  Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Each supply still creates its individual voltage, and the total of those can be utilized by treating them as one supply with the master&#039;s positive terminal and the slave&#039;s negative terminal.  The thing to remember is that the total voltage will be the sum of the displays.&lt;br /&gt;
&lt;br /&gt;
Turn down the voltage to zero.  Now remove the 10kohm resistor from the circuit and replace it with the 4 100 kohm resistors in parallel.  Now make the voltage across the resistors 4 volts (2 volts on each display).  Adjust the slave voltage knob all the way down and back up.  Then do the same with the slave current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;10&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave voltage is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the slave current is adjusted?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Why do you think it works this way?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The master completely controls the voltage in this mode, so the slave voltage control has been disabled.  The slave current control can still be used to limit the current, but the master still continues to operate.  Make sure the slaves controls are both set to maximum.  Now adjust the master current control.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;13&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens when the current control kicks in?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case, the master current control will also control the slave&#039;s current as well as the voltage.  With this in mind, the series power supply can and should be operated using only the master controls.  If a current source was wanted, everything can be done with the master controls.&lt;br /&gt;
&lt;br /&gt;
=== Operating in Parallel Mode ===&lt;br /&gt;
&lt;br /&gt;
Operating in parallel mode allows for a high current output.  The power supplies will be linked in parallel with each other.  Again in this case, the slave controls should be opened to the max, and all adjustments to the current or voltage should be down with the master controls. The load can go across either the slave or master terminals, but it is suggested to use the master terminals.&lt;br /&gt;
&lt;br /&gt;
In this mode, the maximum voltage remains 30V, but the maximum current will be 6A.  As this is a high current that would require many resistors in parallel to get the current without burning out the resistors, we do not test this limit here.&lt;br /&gt;
&lt;br /&gt;
In this mode, the parallel supply can be used in either current or voltage limiting mode using the techniques given above.&lt;br /&gt;
&lt;br /&gt;
== Digital Power Supply ==&lt;br /&gt;
This section will cover use of the Rigol DP1308A digital DC Power Supply.  First discuss the basic nature of the power supply and then discuss the display modes and several operation modes of the power supply.&lt;br /&gt;
&lt;br /&gt;
=== General Digital Power Supply Information ===&lt;br /&gt;
[[File:Digital Power Supply Front.jpg|400px|thumb|right|Front of a Rigol DP1308A digital power supply]]&lt;br /&gt;
&lt;br /&gt;
Rigol DP1308A digital DC Power Supply doesn&#039;t seem to have as clear of a meaning to its specification number.  There are three outputs on the digital power supply-&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Independent 6V/5A Output (red)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common 25V/1A Output (yellow)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Common -25V/1A Output (green)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The 6V supply is isolated from the from the other two outputs for pure independent sources if needed.  The two common port supplies have the same reference point for zero voltage.   One supply will give positive voltages from that zero, while the other goes more negative.  This can be considered the two supplies being connected in series as above for the analog circuits.&lt;br /&gt;
&lt;br /&gt;
Again all the outputs are floating by default.  There is a ground terminal on the front that can be used to ground the terminals if desired.  Remember that if this is to be used to connect to the negative terminals as marked on the power supply.&lt;br /&gt;
&lt;br /&gt;
=== Front panel controls ===&lt;br /&gt;
[[File:Digital controls1.jpg|250px|thumb|right|Section of the panel for selecting power supplies and turning them on/off]]&lt;br /&gt;
&lt;br /&gt;
At first changing the voltage and current for the supplies can seem odd and cumbersome, so we will first familiarize ourselves with the controls.  Directly to the right of the display, you&#039;ll notice the buttons shown to the right.  With these controls, you are able to select which supply you will be controlling with the +6V, +25V and -25V buttons.  With the power on, try selecting the different outputs.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Looking at the display, how can you tell which one is active?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Above the output selection are the buttons for turning on/off all the supplies at the same time.  Press the All on button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?  Why do you think they would prompt this?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Select cancel using the button directly under cancel on the display. Typically turning all the supplies on is not the best idea unless you are sure everything is setup correctly.  Lets go ahead and select the 6V supply.  Now press the on/off button directly below it to turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can we tell the supply is turned on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is there more than one way to tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Go ahead and turn off the 6V supply.  We will move to discuss how to set the voltages and currents for the outputs.  You should notice at the bottom of the display the words Volt, Curr, O.V.P. and O.C.P.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which one is light up?  What do you think this means?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
The buttons below each of those will allow to to set the voltage, current, over voltage protection and over current protection, respectively.&lt;br /&gt;
[[File:Digital controls3.jpg|400px|thumb|right|Panel section for setting values]]&lt;br /&gt;
If we want to set the voltage, there are two ways to do it:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Adjusting the value with the cursor.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Setting the value directly.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
First, we will use the cursor to set it.  Select Volt below the display to set the voltage.  You will notice a little white box in the lower smaller voltage.  The location of the box can be moved using the left and right arrows on the grey dial to the right of the display.  The value of the box can be shifted up and down using the up and down arrows.  Try setting the voltage to 0.5V and 1A.  Remember that to switch to current, you&#039;ll need to select it using the display.&lt;br /&gt;
&lt;br /&gt;
Now we use the number pad to set the voltage and current.  This is done by typing the value into the keypad, then selecting the units you wish to use.  To select the units, you can either use the grey buttons that were used to adjust previously.  Or using the buttons below the display.  Try setting the voltage back to 6V and current in 5A.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;6&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Do you have to have the current selected to change the current with this method?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Which method do you prefer to use?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
We will discuss the over protection functions later, but for now know that they can be set in the same manner as for the voltage and current.&lt;br /&gt;
&lt;br /&gt;
=== Display Modes ===&lt;br /&gt;
&lt;br /&gt;
There are four display modes available for the Rigol digital power supply.&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General display mode (default when turned on)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;General waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Focus waveform display mode&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The two categories that change are the general/focus and waveform display.  The button to switch to focus mode is at the lower right of the display (looks like a magnifying glass), press it to see what happens.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Describe what is different.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Can you change which channel is focused on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This power supply has a timing mode that can be used to switch the voltage/current after a set amount of time.  The focus mode displays the next current and voltage settings when using timing.  We will discuss timing later.&lt;br /&gt;
&lt;br /&gt;
On the right side of the control panel you will see the &amp;quot;Wave Disp&amp;quot; under the number pad.  Press it now.  Turn on the current channel, then set the voltage to 10V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you notice?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to another value and wait a few seconds.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How often does this display update?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now switch to a different channel.  This channel will now be the focus of the display.  In this mode it is easy to see which channel is currently being set.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is this channel in waveform display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;What do you think the general waveform display looks like right now?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Return to general mode by pressing the focus button again.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Is it what you expected?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Depending on your application, some of the channels will remain fixed, while others can be set on a timer and which one you want to watch is important.&lt;br /&gt;
&lt;br /&gt;
Now that you have stepped through the different display settings, you should be able to use the one that is most applicable to your application!&lt;br /&gt;
&lt;br /&gt;
=== Voltage Supply ===&lt;br /&gt;
[[File:Digitalps.png|250px|thumb|right|4 100ohm resistor is parallel as load attached to the 6V channel of the digital power supply]]&lt;br /&gt;
&lt;br /&gt;
We will now explore using this power supply as a voltage source.  For our load we will use the 4 100ohm resistors in parallel. We will use the 6V channel and attach the load as shown in the figure.  You can have the display set to which ever mode you want.  Turn on the 6V channel.  Set the Voltage to 5V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current currently set to? (if not 5A set to 5A)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the voltage to a few other values and witness the changes.&lt;br /&gt;
&lt;br /&gt;
These resistors cannot take too much current before they start to burn.  As was done for the analog supply, we will now examine current protection for our load.  For now set the voltage equal to zero before moving on.&lt;br /&gt;
&lt;br /&gt;
==== Current Limited and Over Current Protection ====&lt;br /&gt;
&lt;br /&gt;
There are two ways to protect the circuit from too much current.  The two ways are current limiting and over current protection (OCP).  Current limiting will hold the voltage below a certain value, while the OCP will shut off the channel completely.&lt;br /&gt;
&lt;br /&gt;
Set the current value to 0.1A.  Now set the voltage to 1V.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the voltage to 5V.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
As with the analog supplies, the highest the current will go is what we have set the current.  This is current limiting.&lt;br /&gt;
&lt;br /&gt;
Now set the voltage to zero and the current to 5A.  Press the OCP button below the display.  By default this is set to off and 5.5A.  Set the OCP. to 0.1A.  Then press the OCP button to turn on OCP.  Now set the voltage to 5V.  If you are using keypad entry for changing voltages, you will need to press the voltage button below the display first before setting the value.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happened?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the output on the display?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will notice that not only did it turn off the channel, but it also turned off OCP.  Try turning OCP back on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;9&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What needs to happen before you can turn OCP back on?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You typically want to reset your voltage and current before you turn the channel on again.&lt;br /&gt;
&lt;br /&gt;
Before moving on, you want to make sure that OCP is off.&lt;br /&gt;
&lt;br /&gt;
=== Current Supply, Voltage limiting and Over Voltage Protection ===&lt;br /&gt;
&lt;br /&gt;
To have a current supply, it follows the same as for the analog supply for a current supply.  You will set the voltage to maximum and then set the current to the desired amount.  &lt;br /&gt;
&lt;br /&gt;
Make sure you start with the channel off. We will use the setup from the voltage supply section. Set the voltage to 6V and current to 0A.  Now turn on the channel.  Set the current to 50mA.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now set the current to 0.3A&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the current output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the power output?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
You will not get the 0.3A you want as the supply has now been voltage limited.  The same idea holds that the highest voltage you will get for a given current is set by the voltage input.&lt;br /&gt;
&lt;br /&gt;
Now set the Over Voltage Protection to 3V and then turn it on.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is this any different than when OCP was used?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Remember that if the channel is shut off for this reason to reset your current to zero before turning the channel back on and then enabling the OVP.&lt;br /&gt;
&lt;br /&gt;
Note! You can set both OCP and OVP at the same to protect from high voltages and currents at the same time!&lt;br /&gt;
&lt;br /&gt;
=== Series mode (multiplexed) ===&lt;br /&gt;
&lt;br /&gt;
This digital power supply has two of the channels automatically in series mode.  The yellow +25V channel and green -25V supply have a common port. To explore this we will use the multimeter to test the voltages at different points of the output channel.  Set the yellow channel to 5V and the green channel to 12V and turn on both channels.  Use the multimeter to answer the following questions:&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the 25V channel (red to the left)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the common port (black) to the output of the -25V channel (red to the right)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage from the output of the -25V channel to the output of the 25V channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
In this case we can separately change the voltage for each channel.  There is no master power supply.  &lt;br /&gt;
&lt;br /&gt;
==== Tracking ====&lt;br /&gt;
We can setup either supply to control the output of the other.  This is done with the track button. With the yellow channel (+25V) set to 5V and the green channel (-25V) set to 12V, select the green channel.  Turn on both channels and press the track button on the right side of the panel.  The display will prompt that this will change the output, hit OK.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the voltage output of the green channel?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Try changing the voltage of the -25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Now change the voltage of the +25V channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
This has made the yellow channel the master and the green channel the slave.  Alternatively, the green channel is tracking the yellow channel.  Now select the yellow channel and hit the track button.  It&#039;ll prompt you about the voltage changing, hit OK.  The yellow channel is tracking the green channel now.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; How can you tell?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
If you press track again, the channel with stop tracking.&lt;br /&gt;
&lt;br /&gt;
Using the tracking is the best way to control the power supply between 0 and 50V using the two channels in series.&lt;br /&gt;
&lt;br /&gt;
=== Timing mode ===&lt;br /&gt;
&lt;br /&gt;
Timing mode allows for you to set up the power supply to change the voltage and current at set points in time.  To see how this is done, we will go through a sample timing scheme.  We will use the 4 100ohm resisters in parallel as our load and the +25V supply.  Press the utility button on the right side of the panel. Then press TimerSet under the display.  You should see the display shown to the right.&lt;br /&gt;
&lt;br /&gt;
[[File:timing.jpg|400px|thumb|right|Display for timing when first entered.]]&lt;br /&gt;
&lt;br /&gt;
With the buttons below the display, you can select which channel you will be modifying.  Select +25V.  The left side of the display that is currently empty will later show the graphs of the voltage and current as a function of time.  The right side is where the values will be set.  There are 5 steps that the timing can do.  For each step you can set the voltage, current and duration of the step.  The &amp;quot;Left&amp;quot; column is used for specialized timing and will not be discussed in this module.  If it needs to be used check the user manual for the power supply.  The arrows can be used to select which value you are setting.  To set a value, the keypad must be used.  Once the value is set, it will automatically step to the next box. Input the follow settings:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 1- 10V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 2- 5V, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 3- 50mV, 6A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 4- 25V, 0.5A, 20s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Step 5- 25V, 50mA, 40s&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
It should look now look like the 2nd image in this section.  The left side now should visually show the settings and durations of each of the steps.&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  How is the duration represented compared to the total time?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now press exit to return to the normal display.  Now change the display to focused waveform on the 6V channel.  Finally turn on the channel, press the timer button, hit OK, sit back and record the data values.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time as you see it on the display.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
[[File:timing2.jpg|400px|thumb|right|Display for timing after values have been entered.]]&lt;br /&gt;
You will notice that it turns off the channel at the end.  Press timer while the channel is off, then turn on the channel.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;3&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  What happens?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Often timing can be used to run a circuit start to finish.  At this point feel free to play with the timing, but be careful to not burn out your resistors!  To do this set the OCP to 0.5V, the voltage to zero and the current to zero.  Now turn on the channel, activate OCP and then hit the timer button.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;  Draw the voltage, current and power as a function of time for your new parameter set.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now you can set basic changes in voltage as a function of time.  Function generators will typically be used when a repeating change needs to be used.  Usage of them can be found The module is available [[Function Generators and Oscilloscopes|here]].&lt;br /&gt;
&lt;br /&gt;
=== Other Functions ===&lt;br /&gt;
&lt;br /&gt;
There are a few more settings and modes that can be used with the digital power supply such as&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Storing and recalling system parameters &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; USB, LAN and GPIB interfaces&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; U disk store&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Remote control via Web or commands&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Help function&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Utility settings&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
For more information on these settings and modes, please refer to the [http://beyondmeasure.rigoltech.com/acton/attachment/1579/f-002c/1/-/-/-/-/DP1308A%20User&#039;s%20Guide.pdf user manual].&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Multimeters&amp;diff=3623</id>
		<title>Multimeters</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Multimeters&amp;diff=3623"/>
		<updated>2022-01-11T18:42:20Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Equipment */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;This module will teach you about how to use the Fluke 179 True RMS multimeter. Details on this multimeter can be found in its [http://media.fluke.com/documents/2155a.pdf data sheet] (or [http://media.fluke.com/documents/175_____umeng0100.pdf manual]). While the module is designed around a specific multimeter, knowledge gained below should transfer to other multimeters. This module should also function as a brief refresher on circuit design.&lt;br /&gt;
[[File:Fluke.jpg|400px|thumb|right|Mulimeter and accessories ]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
You&#039;ll learn more about the [[Power Supplies | Power Supply]] and [[Function Generators and Oscilloscopes | Function Generator]] in another module, but we&#039;ll need a minimum of functionality from them to make measurements with the multimeter, so their operation is described in unnecessarily detailed form.&lt;br /&gt;
&lt;br /&gt;
This module is part of the [[General Lab Equipment Obstacle Course]]&lt;br /&gt;
&lt;br /&gt;
== Equipment ==&lt;br /&gt;
&lt;br /&gt;
For this module, you will need:&lt;br /&gt;
&amp;lt;ul&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DP1308A DC Power Supply (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Rigola DG1022 Function Generator (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; An assortment of short wires&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Resistors: 10ohm, 500ohm, 1kohm, 2kohm (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Capacitors: 1nF, 1uF, three 270uF (or close values)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A diode: one 1N4148  (or similar)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; A breadboard (or protoboard) &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC-Banana Plug Adaptor (with male BNC plug)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; BNC Cables&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Temperature Sensor (Thermocouple)&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ul&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Measuring voltages ==&lt;br /&gt;
Connect two probes to the right most inputs to the multimeter. I would recommend using probes with pointed tips or alligator clips at the end. The bottom input is the common/ground input and the upper right input is the voltage/resistance/diode. input. For simplicity, I&#039;ll refer to the probe connected to the voltage/resistance/diode input as the &amp;quot;red&amp;quot; probe and the probe connected to the ground input as the &amp;quot;black&amp;quot; probe. Turn the dial on the multimeter so that it points to V (with a line/dashed line over it) . This mode measures constant (DC) voltages, or will measure the RMS voltage of an alternating current. It measures the voltage difference between the top input and the common input (Vmeas = Vtop - Vbottom). &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;To verify this, touch your two probes together. What does the meter read? Does this make sense? What is the voltage difference between two points without any resistance between them?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now, turn on the power supply. Hopefully, the yellow box on the screen will be highlighted. If not, press the +25V button on the power supply (above the yellow line) to change to that output. Press the left most button under the screen, so that VOLT is highlighted. This will give you control over the voltage output of the power supply. You can verify this by seeing that one of the numbers in the voltage box has turned white.&lt;br /&gt;
&lt;br /&gt;
Connect the positive output of the power supply (yellow) to one row of inputs on the breadboard and the common output of the power supply (labelled as &amp;quot;COM&amp;quot;) to another row. Between these two rows, plug in the 1kohm resistor.&lt;br /&gt;
&lt;br /&gt;
Turn on the yellow output by pressing the center ON/OFF button (under the yellow box). The black OFF box at the top of the yellow window should change to a green ON box. Use the right/left arrows on the directional control buttons to highlight the tenths digit of the voltage line. Use the up/down buttons to change the voltage output to 00.50V. The box should be out putting half a voltage now.&lt;br /&gt;
&lt;br /&gt;
[[File:Voltmeter.png|frame|right|Voltage Measurement|300px]]&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; To verify this, touch the red probe to one end of the 1kohm resistor and the black probe to the other end. What does the multimeter read (as shown to the right)? If it reads 0.00, make sure the connections to the power supply are secure.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; If you flip the locations of the probe, what do you think will happen? Take a guess, then try it.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Replace the 2kohm resistor with the 500ohm resistor and 2kohm resistor in series (that is, end-to-end so current flows through one and then the other). &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Using your knowledge of resistors in series, what do you think the voltage dropped across the 500ohm resistor will be? What about the 2kohm resistor?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltage across each resistor separately (place the probes on either side of one resistor, then on either side of the other). Were your guesses correct?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
Change the dial on the multimeter to the mV symbol with the line and dashed line over it. This is the millivolt measuring mode. It measures voltages the same as the voltage mode, but it reports results in millivolts and gives more accurate measurements for small voltages. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;6&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the voltages across the resistor pairs again. Do you get what you&#039;d expect in mV?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Measuring current ==&lt;br /&gt;
To measure current, you need to use either of the left inputs and the common input to the multimeter. Both of the left inputs measure currents that flow INto these inputs and then OUT of the common input (black probe). This means the multimeter must be in-line with the current to measure it. The top-left input measures currents up to 400mA and the bottom one can measure currents up to 10A. The dial on the multimeter must be turned to the A (with line and dashed line) setting or the mA (with line and dashed line) setting. Like voltage, one will measure in A and the other in milliamps. &lt;br /&gt;
&lt;br /&gt;
Change the multimeter to the milliamp setting. You&#039;ll note that on the right side of the screen, it will say &amp;quot;AC&amp;quot; under the unit listing (&amp;quot;mA&amp;quot;). Then, the meter will tell you the RMS current of an AC signal. This isn&#039;t what we want. Press the yellow 2nd button. The multimeter will beep and change to &amp;quot;DC&amp;quot; mode. This will report the DC current that flows through the multimeter. Use the same 0.50V output of the Rigol Dp1308A power supply as discussed above.&lt;br /&gt;
&lt;br /&gt;
[[File:Ammeter.png|frame|right|Current Measurement|300px]]&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Based on what you know about electronics, how much current should traveling through the resistors? &lt;br /&gt;
&amp;lt;li&amp;gt; As mentioned above, current measurements are done in-line. To do this, break the connection between the two resistors. Touch one multimeter probe to the free end of one resistor and the other probe to the free end of the other resistor (as shown to the right). Does the reading agree with your prediction?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Switch the probes. How does the current measurement change? Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Now, put the 1kohm and 2okhm resistors in parallel between the power supply lines. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;4&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the total current drawn from the power supply. To do this, attach one multimeter probe to the the output of the power supply and the other probe to the ends of both resistors. &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now measure the current through just one of the resistors in parallel. To do this, unattach one resistor from the probe and attach the free end directly to the power supply line.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Using what you know about current, predict the current in the other resistor. Then measure it. does your measurement match your prediction?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Because current is actually running through the multimeter (and the meter costs upwards of $350), it must be protected against too much current. This is done with a fuse located in the back of the multimeter. &lt;br /&gt;
&amp;lt;ol start=&amp;quot;7&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Each current input has a different fuse. According to the multimeter&#039;s datasheet, what is the maximum current for each input before the fuse is blown?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Measuring resistance and testing for continuity ==&lt;br /&gt;
The multimeter can be used for measuring resistance and for testing line continuity, that is checking that two points in a circuit are connected electrically.&lt;br /&gt;
&lt;br /&gt;
Resistance measurements are straight forward. Attach the black probe to the common input (lower right) and the red probe to the voltage/resistance/diode input (upper right). Turn the dial to the resistance setting (capital greek letter Omega, Ω). Touch the probe ends to two points and the meter will read the resistance between the two probes.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Without the probes touching, what does the meter read? 0L stands for No Load - there is no electrical contact between the two probes. Technically, the multimeter can measure resistances up to 50Mohm, so 0L really indicates the resistance is greater than this value.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What do you think the multimeter will read if you touch the two probes together? Try it. Does your answer agree with the probe? A non-zero resistance is okay, as long as it is very close to one. The probe can report resistances down to 0.1 ohm, so hopefully your result is close to that.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes to both sides of each resistor. Do the resistances that multimeter gives you agree with what the resistors say their resistances are? If not, does the multimeter measurement agree to within the tolerances listed by the resistors?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Combine some resistors in parallel and series. Calculate what you believe the total resistance should be with a given combination. Does the multimeter agree with your calculation?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The continuity test is similar to the resistance test. The multimeter will beep if there is electrical contact between the probes and the meter will report the resistance between the probes. Turn the dial to the symbol that looks like 4 right parentheses to use that mode.&lt;br /&gt;
&amp;lt;ol start=&amp;quot;5&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes together. What did the meter do?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes to either side of the 1kohm resistors. What did the meter do?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes to either side of the 10ohm resistor. What did the meter do?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The continuity mode is nice as you do not need to read anything, you can just listen for the beep. This is a good way to tell if components are connected correctly while soldering. However, as you hopefully observed, even if there is some resistance between the points the meter can beep - the  multimeter&#039;s manual says that you will get a beep for resistances below 25ohm. This is sometimes problematic and you should instead measure the resistance. For example, if you think you have broken a resistor by running too much current through it, the resistor may still have some resistance and not trigger the multimeter&#039;s continuity test, but it&#039;s resistance has still fallen below what you need it to be for your application. Just relying on the continuity test to tell you if the resistor is good or bad is not sufficient.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Diode check ==&lt;br /&gt;
The multimeter can be used to check diodes. Turning the dial to the continuity test mode (4 right parenthesis) then press the yellow 2nd button until a diode symbol appears on the screen. The red probe should be in the Voltage/Resistance/Diode input (top right). Touching the red probe to the annode side of the diode and the black probe to the cathode side of the diode should result in a beep from the multimeter, if the diode is functioning correctly.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Test that your diode functions correctly. Flip the probes, and check that the fluke does not beep.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; If the multimeter has an extended beep, the diode is bad and there is a short in it. You can simulate this by touching the two probes together.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;When testing the diode and it beeps, the multimeter will show a voltage on the screen. What do you think this voltage is? &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Unsure? Look through the diode&#039;s datasheet (available [http://www.vishay.com/docs/81857/1n4148.pdf here]). &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Still not sure? Warm the diode by squeezing it between your fingers. How does the voltage measurement change as the diode heats up? Are there any properties of the diode that the data sheet indicates should change in the same way with temperature that you are observing?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== AC Signals, frequency response ==&lt;br /&gt;
For this portion, you will need to use the Rigol DG1022 function generator. Turn it on and press the two output bottons (on the right side) so that only the bottom one is lit, this turns on only channel 1. This should be reflected on the display with &amp;quot;ON&amp;quot; written in the top right of box for channel 1 and &amp;quot;OFF&amp;quot; in the box for channel 2. If channel 2 has a black background on the display, press the CH1|CH2 button (just to the left of the 0 in the number pad) to change which channel you are adjusting. Press the left most blue button under the display to select frequency setting mode. Use the dial (and the right/left arrow buttons next to it) to change the frequency to be 4kHz.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the 2nd (from the left) blue button under the screen to change the amplitude of the signal. The amplitudes are given in peak-to-peak voltage, this is the voltage between the bottom of the wave and the top of the wave. How does this compare to the amplitude of the wave? Set the function generator to produce a wave with an amplitude of 0.5V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Press the &amp;quot;Sine&amp;quot; button in the bottom left corner of the function generate to create a sine wave output from the function generator. &lt;br /&gt;
&lt;br /&gt;
Unplug probes from the multimeter. Plug the BNC-banana plug adaptor into the two right side multimeter inputs. The banana plug with an extra &amp;quot;tab&amp;quot; on its side should go into the COM input.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;2&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Turn the dial to the V with a &amp;quot;~&amp;quot; above it. This puts the multimeter in RMS voltage measuring mode. BEFORE you measure the output of the function generator, calculate what RMS voltage you expect from a sine wave with an amplitude of 0.5V.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Voltages are output from the BNC connectors on the right side of the function generator. Connect the output for channel 1 (lower one) to the multimeter. Does the RMS voltage that the multimeter agree with your answer above?&lt;br /&gt;
&amp;lt;li&amp;gt; Try reading the RMS voltage at a number of different frequencies. Make a plot of these voltages in a spreadsheet program (the lab computers have LibreOffice Calc on them). Look at frequencies in steps of 300Hz between 300Hz and 3kHz, then in steps of 500Hz up to 15000Hz. &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Try plotting the data as a gain vs frequency plot: plot the y-axis in decibels (i.e. plot 10*log[Vrms/Vrms(300Hz)]) and put the x-axis in in logarithmic scaling.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Is there some range in which the measured RMS frequencies are close to your estimate for the RMS voltage? Is the multimeter &#039;good&#039; at reading voltages at high or low frequencies? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Does the range you find agree with the &amp;quot;Accuracy Rating&amp;quot; range for measuring AC voltages as claimed in the multimeter&#039;s datasheet.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Based on your graph, would you believe the multimeter&#039;s AC readings act as a high-pass or low-pass filter? What is the time-constant for the meter based on your data? &lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
Does your gain vs frequency graph look similar to the same graphs on the wikipedia pages for low- and high-pass filters?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The multimeter can also read frequency.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;8&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the yellow 2nd button while in RMS voltage mode. Does this frequency agree with what you set the function generator to? Change frequencies and verify these are performing correctly.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;How large can you make the frequency before the multimeter stops performing correctly? Is this about the correct range that the multimeter&#039;s data sheet gives?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Put the multimeter back into RMS voltage mode (press the yellow 2nd button again) and decrease the frequency so the voltage reading is valid. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;10&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Unplug the BNC-banana plug adaptor and flip it around, so the plug with the GND tag is in the voltage/Resistance/Diode input of the multimeter. Does that change your RMS voltage reading? Does how it changed make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
The function generator can output other waves than just sine waves - and the multimeter should be able to measure them. What kind of RMS voltage would you expect for a square wave with an amplitude of 0.5V? What about for a triangle wave?&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;11&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the Square Wave button next to the sine wave button. This should create a square wave output. Does the RMS voltage agree with what you&#039;d expect for a square wave? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The ramp output of the function generator (next to the square wave button) makes a triangle wave. Does the RMS voltage you measure agree with your prediction?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Put the multimeter into frequency measuring mode and see if it can measure the frequency of square waves and ramps.&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
The multimeter can also measure RMS current. To do this, you must have the probes set up correctly to measure current  and the dial should be set to one of the current modes (see above). The current mode defaults to AC mode, so it with report the RMS current through the multimeter automatically (recall we had to press the yellow 2nd button to read DC currents earlier). If you press the yellow 2nd button twice (so that &amp;quot;Hz&amp;quot; appears on the display), you will be able to measure the frequency of the current.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Capacitance ==&lt;br /&gt;
The multimeter can read capacitor capacitance. Turn the dial to the Omega, Ω, symbol, then press the yellow 2nd button to get to capacitance mode. The probes should be in the two right-most inputs.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; What is the measured capacitance with the bare probes (hold them apart from each other in front of you)? Does this make sense? (Try assuming that the probes are two parallel plates with air in between them).&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Touch the probes together? What is the reading? Does this make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Connect one of the 470uF capacitors to the probe leads. What does the multimeter measure? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Try a number of 470uF capacitors. Do they read what they should? Look at the datasheet for the multimeter. Does the measured capacitance agree to within the multimeter&#039;s accuracy? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Here is the [http://www.alliedelec.com/images/products/datasheets/bm/ILLINOIS_CAPACITOR/70111676.pdf datasheet] for the capacitors. What is the accuracy of their capacitance? Does that agree with the multimeter&#039;s readings&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Measure the capacitance of the 1uF capacitor. Press the black &amp;quot;range&amp;quot; button to cycle through the different range settings of the multimeter. If the display reads &amp;quot;OL&amp;quot;, the measurement is beyond the upper limit of the range. Which range gives you the more precise measurement? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Flip the probes on the leads of the capacitor. Does the measurement change? &amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Now measure the 1nF capacitor. Measurements of O indicate the reading is below the lower limit of the range. Press the range button until you get to the nF setting.&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Clamp meter ==&lt;br /&gt;
Clamp meters measure current without needing to interrupt the circuit. The clamp meter is pictured on the far left of the Multimeter and Accessories picture at the top of the page.&lt;br /&gt;
&lt;br /&gt;
To use a clamp meter, place a wire through the loop on the top of the meter and move the slider to the A setting. The current that runs through the loop at the top of the meter will be displayed. &lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; The lab&#039;s clamp meter, a Greenlee CM-450, can only read currents down to 0.4A. If we are to measure 0.4A of current through the 500ohm resistor, what voltage do we need?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Most resistors can deal with about 0.25W of power dropped in them before breaking (&amp;quot;letting out the magic blue smoke&amp;quot; in electronics terms). What would the power loss be if we ran 0.4A of current through the 500ohm resistor? What about with a 10ohm resistor? Should we try that?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;The clamp meter will measure the total current that runs through the loop. What do you expect the meter will read if it is placed around a run-on-the-mill power cable, say for the computer you&#039;re reading this on? Why?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Because of the limitations on low-end current measurements, the clamp meter is mostly useful only for high-voltage power source. It is also useful as it does not require interacting with the high voltage (and often high current) electricity directly.&lt;br /&gt;
&lt;br /&gt;
== Temperature Measurements ==&lt;br /&gt;
This multimeter can also measure temperature with a thermocouple. The thermocouple should have a plug for the right two inputs of the multimeter. Plug those with appropriate colours matching. It is pictured in the bottom-right corner of the Multimeter and Accessories image at the top of the page.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;ol start=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Turn the dial to the DC mV setting and press the yellow 2nd button to go to temperature mode. Is that correct(ish)?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt;Press the RANGE button on the multimeter to switch between measuring in Fahrenheit and Celsius. Now squeeze the (silver exposed) end of the thermocouple in your hand. How does the temperature change. Try breathing on the thermocouple. How does the temperature change? Does that make sense?&amp;lt;/li&amp;gt;&lt;br /&gt;
&amp;lt;li&amp;gt; Flip the thermocouple&#039;s plug around. Do you get the same temperature reading? What happens when you breath on it?&lt;br /&gt;
&amp;lt;/ol&amp;gt;&lt;br /&gt;
&lt;br /&gt;
We do not recommend inserting the thermocouple into your body anywhere. You should also not place the thermocouple into any liquids.&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3620</id>
		<title>APL wiki:Community portal</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=APL_wiki:Community_portal&amp;diff=3620"/>
		<updated>2021-10-28T00:52:23Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Welcome to the University of Oregon, Department of Physics, Advanced Projects Lab&#039;s Wiki.&lt;br /&gt;
&lt;br /&gt;
To see our main website visit [http://june.uoregon.edu Advanced Projects Lab].&lt;br /&gt;
&lt;br /&gt;
== Projects and Modules ==&lt;br /&gt;
[[File:APL.jpg|450px|right]]&lt;br /&gt;
[[Advanced Projects]]&lt;br /&gt;
&lt;br /&gt;
[[Teaching Modules]]&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[General Lab Equipment Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Basic Machining Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Fiber-Optics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Digital-Electronics Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Make and Test a Semiconductor Device]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Permittivity and Permeability of Materials Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Vacuum Technology Obstacle Course]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Scientific Python Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[LabVIEW Primer]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Media:Taking,_Storing,_Transferring_and_Presenting_Data.pdf| Taking, Storing and Presenting Data]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Make a Printed Circuit Board (PCB)]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[How to Test Transistors and FETs]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
- &#039;&#039;[[Operating Fusion Splicers and Preparing the Fiber]]&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Useful Links: ===&lt;br /&gt;
&lt;br /&gt;
[http://www.rp-photonics.com/encyclopedia.html RP Photonics Encyclopedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.newport.com/Tutorials/979935/1033/content.aspx Newport Tutorials]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== LaTeX Help: ===&lt;br /&gt;
&lt;br /&gt;
[[Working with TeX Equations]]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/LaTeX LaTeX - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[[Media:Lshort.pdf |The Not So Short Introduction to LATEX]]&lt;br /&gt;
&lt;br /&gt;
=== Wiki Markup Help: ===&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Cheatsheet Help:Cheatsheet] &lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Help:Wiki_markup Help:Wiki markup]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Wikipedia:Extended_image_syntax Wikipedia:Extended image syntax]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Help:Tables Help: Tables]&lt;br /&gt;
&lt;br /&gt;
=== CDF (Computable Document Format) Help: ===&lt;br /&gt;
&#039;&#039;(Note - The Wolfram CDF player for Linux currently doesn&#039;t support the browser plugin)&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
[http://www.wolfram.com/cdf-player/  Get the Wolfram CDF Player]&lt;br /&gt;
&lt;br /&gt;
[http://en.wikipedia.org/wiki/Computable_Document_Format CDF - Wikipedia]&lt;br /&gt;
&lt;br /&gt;
[http://www.mediawiki.org/wiki/Extension:WolframCDF#Usage How to include CDF files on wiki pages]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3610</id>
		<title>Advanced Projects</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3610"/>
		<updated>2021-10-08T20:02:29Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Fiber-Optic Projects */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Optics Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Spontaneous Parametric Downconversion]]&lt;br /&gt;
&lt;br /&gt;
* [[Sonoluminescence]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers for Biology]]&lt;br /&gt;
&lt;br /&gt;
* [[External-Cavity Tuneable Diode Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Optics Modeling with Optica]]&lt;br /&gt;
&lt;br /&gt;
* [[Schlieren Flow Visualization]]&lt;br /&gt;
&lt;br /&gt;
* [[Laser-Matter Interaction Studies]]&lt;br /&gt;
&lt;br /&gt;
== Fiber-Optic Projects ==&lt;br /&gt;
* [[Modelocked Fiberlaser]]&lt;br /&gt;
&lt;br /&gt;
* [[Sagnac Fiber-Optic Gyroscope]]&lt;br /&gt;
&lt;br /&gt;
* [[Erbium-Doped Fiber Amplifier &amp;amp; CW Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Mode-locked Erbium-Ytterbium Doped Fiber Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Master Oscillator Power Amplifier Pulsed Laser]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Graphene as Saturable Absorber]]&lt;br /&gt;
&lt;br /&gt;
* [[Fiber Simulations with RP Fiber Power]]&lt;br /&gt;
&lt;br /&gt;
*[[Optical Chaos with External Feedback Mirror]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
== Solid State Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Atomic Force Microscope]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[OAM &amp;amp; Surface Plasmon Resonance]]&lt;br /&gt;
&lt;br /&gt;
* [[Superconductivity]]&lt;br /&gt;
&lt;br /&gt;
* [[MgB2 Superconductor]]&lt;br /&gt;
&lt;br /&gt;
* [[Physics of Semiconductor Devices]]&lt;br /&gt;
&lt;br /&gt;
* [[Physical Adsorption]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Nuclear Magnetic Resonance]]&lt;br /&gt;
&lt;br /&gt;
==Thermodynamics==&lt;br /&gt;
&lt;br /&gt;
* [[Heat Content Asymptotics]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
== Computational Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[MEEP]]&lt;br /&gt;
&lt;br /&gt;
* [[Parallel Programming on the APL Cluster]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Data Mining]]&lt;br /&gt;
&lt;br /&gt;
* [[Robotics]]&lt;br /&gt;
&lt;br /&gt;
* [[APL HPC Cluster]]&lt;br /&gt;
&lt;br /&gt;
== Astronomical Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Observational Astronomy]] (offered Spring Term)&lt;br /&gt;
&lt;br /&gt;
* [[Astronomical Spectroscopy]]&lt;br /&gt;
&lt;br /&gt;
== Useful Info==&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Make_A_Cable.pdf | How To Make a Multi-Strand Shielded Cable]]&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Connectorize_BNC_Cables.pdf | How To Make a BNC Cable]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3609</id>
		<title>Advanced Projects</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3609"/>
		<updated>2021-10-08T20:00:47Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Astronomical Projects */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Optics Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Spontaneous Parametric Downconversion]]&lt;br /&gt;
&lt;br /&gt;
* [[Sonoluminescence]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers for Biology]]&lt;br /&gt;
&lt;br /&gt;
* [[External-Cavity Tuneable Diode Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Optics Modeling with Optica]]&lt;br /&gt;
&lt;br /&gt;
* [[Schlieren Flow Visualization]]&lt;br /&gt;
&lt;br /&gt;
* [[Laser-Matter Interaction Studies]]&lt;br /&gt;
&lt;br /&gt;
== Fiber-Optic Projects ==&lt;br /&gt;
* [[Modelocked Fiberlaser]]&lt;br /&gt;
&lt;br /&gt;
* [[Sagnac Fiber-Optic Gyroscope]]&lt;br /&gt;
&lt;br /&gt;
* [[Erbium-Doped Fiber Amplifier &amp;amp; CW Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Mode-locked Erbium-Ytterbium Doped Fiber Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Master Oscillator Power Amplifier Pulsed Laser]]&lt;br /&gt;
&lt;br /&gt;
*[[Graphene as Saturable Absorber]]&lt;br /&gt;
&lt;br /&gt;
* [[Fiber Simulations with RP Fiber Power]]&lt;br /&gt;
&lt;br /&gt;
*[[Optical Chaos with External Feedback Mirror]]&lt;br /&gt;
&lt;br /&gt;
== Solid State Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Atomic Force Microscope]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[OAM &amp;amp; Surface Plasmon Resonance]]&lt;br /&gt;
&lt;br /&gt;
* [[Superconductivity]]&lt;br /&gt;
&lt;br /&gt;
* [[MgB2 Superconductor]]&lt;br /&gt;
&lt;br /&gt;
* [[Physics of Semiconductor Devices]]&lt;br /&gt;
&lt;br /&gt;
* [[Physical Adsorption]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Nuclear Magnetic Resonance]]&lt;br /&gt;
&lt;br /&gt;
==Thermodynamics==&lt;br /&gt;
&lt;br /&gt;
* [[Heat Content Asymptotics]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
== Computational Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[MEEP]]&lt;br /&gt;
&lt;br /&gt;
* [[Parallel Programming on the APL Cluster]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Data Mining]]&lt;br /&gt;
&lt;br /&gt;
* [[Robotics]]&lt;br /&gt;
&lt;br /&gt;
* [[APL HPC Cluster]]&lt;br /&gt;
&lt;br /&gt;
== Astronomical Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Observational Astronomy]] (offered Spring Term)&lt;br /&gt;
&lt;br /&gt;
* [[Astronomical Spectroscopy]]&lt;br /&gt;
&lt;br /&gt;
== Useful Info==&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Make_A_Cable.pdf | How To Make a Multi-Strand Shielded Cable]]&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Connectorize_BNC_Cables.pdf | How To Make a BNC Cable]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3608</id>
		<title>Advanced Projects</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3608"/>
		<updated>2021-10-08T20:00:28Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Computational Projects */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Optics Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Spontaneous Parametric Downconversion]]&lt;br /&gt;
&lt;br /&gt;
* [[Sonoluminescence]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers for Biology]]&lt;br /&gt;
&lt;br /&gt;
* [[External-Cavity Tuneable Diode Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Optics Modeling with Optica]]&lt;br /&gt;
&lt;br /&gt;
* [[Schlieren Flow Visualization]]&lt;br /&gt;
&lt;br /&gt;
* [[Laser-Matter Interaction Studies]]&lt;br /&gt;
&lt;br /&gt;
== Fiber-Optic Projects ==&lt;br /&gt;
* [[Modelocked Fiberlaser]]&lt;br /&gt;
&lt;br /&gt;
* [[Sagnac Fiber-Optic Gyroscope]]&lt;br /&gt;
&lt;br /&gt;
* [[Erbium-Doped Fiber Amplifier &amp;amp; CW Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Mode-locked Erbium-Ytterbium Doped Fiber Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Master Oscillator Power Amplifier Pulsed Laser]]&lt;br /&gt;
&lt;br /&gt;
*[[Graphene as Saturable Absorber]]&lt;br /&gt;
&lt;br /&gt;
* [[Fiber Simulations with RP Fiber Power]]&lt;br /&gt;
&lt;br /&gt;
*[[Optical Chaos with External Feedback Mirror]]&lt;br /&gt;
&lt;br /&gt;
== Solid State Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Atomic Force Microscope]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[OAM &amp;amp; Surface Plasmon Resonance]]&lt;br /&gt;
&lt;br /&gt;
* [[Superconductivity]]&lt;br /&gt;
&lt;br /&gt;
* [[MgB2 Superconductor]]&lt;br /&gt;
&lt;br /&gt;
* [[Physics of Semiconductor Devices]]&lt;br /&gt;
&lt;br /&gt;
* [[Physical Adsorption]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Nuclear Magnetic Resonance]]&lt;br /&gt;
&lt;br /&gt;
==Thermodynamics==&lt;br /&gt;
&lt;br /&gt;
* [[Heat Content Asymptotics]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
== Computational Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[MEEP]]&lt;br /&gt;
&lt;br /&gt;
* [[Parallel Programming on the APL Cluster]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Data Mining]]&lt;br /&gt;
&lt;br /&gt;
* [[Robotics]]&lt;br /&gt;
&lt;br /&gt;
* [[APL HPC Cluster]]&lt;br /&gt;
&lt;br /&gt;
== Astronomical Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Observational Astronomy]]&lt;br /&gt;
&lt;br /&gt;
* [[Astronomical Spectroscopy]]&lt;br /&gt;
&lt;br /&gt;
== Useful Info==&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Make_A_Cable.pdf | How To Make a Multi-Strand Shielded Cable]]&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Connectorize_BNC_Cables.pdf | How To Make a BNC Cable]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3607</id>
		<title>Advanced Projects</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3607"/>
		<updated>2021-10-08T19:59:59Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Thermodynamics */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Optics Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Spontaneous Parametric Downconversion]]&lt;br /&gt;
&lt;br /&gt;
* [[Sonoluminescence]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers for Biology]]&lt;br /&gt;
&lt;br /&gt;
* [[External-Cavity Tuneable Diode Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Optics Modeling with Optica]]&lt;br /&gt;
&lt;br /&gt;
* [[Schlieren Flow Visualization]]&lt;br /&gt;
&lt;br /&gt;
* [[Laser-Matter Interaction Studies]]&lt;br /&gt;
&lt;br /&gt;
== Fiber-Optic Projects ==&lt;br /&gt;
* [[Modelocked Fiberlaser]]&lt;br /&gt;
&lt;br /&gt;
* [[Sagnac Fiber-Optic Gyroscope]]&lt;br /&gt;
&lt;br /&gt;
* [[Erbium-Doped Fiber Amplifier &amp;amp; CW Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Mode-locked Erbium-Ytterbium Doped Fiber Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Master Oscillator Power Amplifier Pulsed Laser]]&lt;br /&gt;
&lt;br /&gt;
*[[Graphene as Saturable Absorber]]&lt;br /&gt;
&lt;br /&gt;
* [[Fiber Simulations with RP Fiber Power]]&lt;br /&gt;
&lt;br /&gt;
*[[Optical Chaos with External Feedback Mirror]]&lt;br /&gt;
&lt;br /&gt;
== Solid State Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Atomic Force Microscope]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[OAM &amp;amp; Surface Plasmon Resonance]]&lt;br /&gt;
&lt;br /&gt;
* [[Superconductivity]]&lt;br /&gt;
&lt;br /&gt;
* [[MgB2 Superconductor]]&lt;br /&gt;
&lt;br /&gt;
* [[Physics of Semiconductor Devices]]&lt;br /&gt;
&lt;br /&gt;
* [[Physical Adsorption]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Nuclear Magnetic Resonance]]&lt;br /&gt;
&lt;br /&gt;
==Thermodynamics==&lt;br /&gt;
&lt;br /&gt;
* [[Heat Content Asymptotics]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
== Computational Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[MEEP]]&lt;br /&gt;
&lt;br /&gt;
* [[Parallel Programming on the APL Cluster]]&lt;br /&gt;
&lt;br /&gt;
* [[Data Mining]]&lt;br /&gt;
&lt;br /&gt;
* [[Robotics]]&lt;br /&gt;
&lt;br /&gt;
* [[APL HPC Cluster]]&lt;br /&gt;
&lt;br /&gt;
== Astronomical Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Observational Astronomy]]&lt;br /&gt;
&lt;br /&gt;
* [[Astronomical Spectroscopy]]&lt;br /&gt;
&lt;br /&gt;
== Useful Info==&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Make_A_Cable.pdf | How To Make a Multi-Strand Shielded Cable]]&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Connectorize_BNC_Cables.pdf | How To Make a BNC Cable]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3606</id>
		<title>Advanced Projects</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Advanced_Projects&amp;diff=3606"/>
		<updated>2021-10-08T19:58:13Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Solid State Projects */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Optics Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Spontaneous Parametric Downconversion]]&lt;br /&gt;
&lt;br /&gt;
* [[Sonoluminescence]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers]]&lt;br /&gt;
&lt;br /&gt;
* [[Optical Tweezers for Biology]]&lt;br /&gt;
&lt;br /&gt;
* [[External-Cavity Tuneable Diode Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Optics Modeling with Optica]]&lt;br /&gt;
&lt;br /&gt;
* [[Schlieren Flow Visualization]]&lt;br /&gt;
&lt;br /&gt;
* [[Laser-Matter Interaction Studies]]&lt;br /&gt;
&lt;br /&gt;
== Fiber-Optic Projects ==&lt;br /&gt;
* [[Modelocked Fiberlaser]]&lt;br /&gt;
&lt;br /&gt;
* [[Sagnac Fiber-Optic Gyroscope]]&lt;br /&gt;
&lt;br /&gt;
* [[Erbium-Doped Fiber Amplifier &amp;amp; CW Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Mode-locked Erbium-Ytterbium Doped Fiber Laser]]&lt;br /&gt;
&lt;br /&gt;
* [[Master Oscillator Power Amplifier Pulsed Laser]]&lt;br /&gt;
&lt;br /&gt;
*[[Graphene as Saturable Absorber]]&lt;br /&gt;
&lt;br /&gt;
* [[Fiber Simulations with RP Fiber Power]]&lt;br /&gt;
&lt;br /&gt;
*[[Optical Chaos with External Feedback Mirror]]&lt;br /&gt;
&lt;br /&gt;
== Solid State Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Atomic Force Microscope]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[OAM &amp;amp; Surface Plasmon Resonance]]&lt;br /&gt;
&lt;br /&gt;
* [[Superconductivity]]&lt;br /&gt;
&lt;br /&gt;
* [[MgB2 Superconductor]]&lt;br /&gt;
&lt;br /&gt;
* [[Physics of Semiconductor Devices]]&lt;br /&gt;
&lt;br /&gt;
* [[Physical Adsorption]] (not currently offered)&lt;br /&gt;
&lt;br /&gt;
* [[Nuclear Magnetic Resonance]]&lt;br /&gt;
&lt;br /&gt;
==Thermodynamics==&lt;br /&gt;
&lt;br /&gt;
* [[Heat Content Asymptotics]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Computational Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[MEEP]]&lt;br /&gt;
&lt;br /&gt;
* [[Parallel Programming on the APL Cluster]]&lt;br /&gt;
&lt;br /&gt;
* [[Data Mining]]&lt;br /&gt;
&lt;br /&gt;
* [[Robotics]]&lt;br /&gt;
&lt;br /&gt;
* [[APL HPC Cluster]]&lt;br /&gt;
&lt;br /&gt;
== Astronomical Projects ==&lt;br /&gt;
&lt;br /&gt;
* [[Observational Astronomy]]&lt;br /&gt;
&lt;br /&gt;
* [[Astronomical Spectroscopy]]&lt;br /&gt;
&lt;br /&gt;
== Useful Info==&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Make_A_Cable.pdf | How To Make a Multi-Strand Shielded Cable]]&lt;br /&gt;
&lt;br /&gt;
[[Media:How_To_Connectorize_BNC_Cables.pdf | How To Make a BNC Cable]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Laser-Matter_Interaction_Studies&amp;diff=3605</id>
		<title>Laser-Matter Interaction Studies</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Laser-Matter_Interaction_Studies&amp;diff=3605"/>
		<updated>2021-10-08T19:55:53Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;br /&gt;
== Laser-Matter Interaction Studies ==&lt;br /&gt;
&lt;br /&gt;
Under Development&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Our Laser Systems]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=RotationStage_-_HowTo&amp;diff=3604</id>
		<title>RotationStage - HowTo</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=RotationStage_-_HowTo&amp;diff=3604"/>
		<updated>2021-08-23T22:32:34Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: Created page with &amp;quot;== Electronically-Controlled Rotation Table for iFOG Project ==  How to use software:&amp;lt;br&amp;gt; 1) On computer desktop double-click the LinuxCNC desktop icon.&amp;lt;br&amp;gt; 2) Use default scr...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Electronically-Controlled Rotation Table for iFOG Project ==&lt;br /&gt;
&lt;br /&gt;
How to use software:&amp;lt;br&amp;gt;&lt;br /&gt;
1) On computer desktop double-click the LinuxCNC desktop icon.&amp;lt;br&amp;gt;&lt;br /&gt;
2) Use default script file or load and edit your own.&amp;lt;br&amp;gt;&lt;br /&gt;
3) Toggle off &amp;quot;estop&amp;quot; (or press F1).&amp;lt;br&amp;gt;&lt;br /&gt;
4) Toggle on drive controllers (or press F2).&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Notes: &amp;lt;br&amp;gt;&lt;br /&gt;
- In the script files, A2.5 corresponds to an angle of 2.5 degrees (with respect to currently designated &amp;quot;zero&amp;quot;) and F2.5 corresponds to a rotation rate of 2.5 degrees per minute.&amp;lt;br&amp;gt;&lt;br /&gt;
- A rotation rate of 1 degree per minute seems to have a mechanical resonance and produces excessive motor vibration.&amp;lt;br&amp;gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Sagnac_Fiber-Optic_Gyroscope&amp;diff=3603</id>
		<title>Sagnac Fiber-Optic Gyroscope</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Sagnac_Fiber-Optic_Gyroscope&amp;diff=3603"/>
		<updated>2021-08-23T22:11:49Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Fiber-Optic Gyroscope (FOG) Project ==&lt;br /&gt;
&lt;br /&gt;
[http://hank.uoregon.edu/experiments/sagnac-fiber-interferometer/sagnac-fiber-interferometer-home.html FOG Web Page]&lt;br /&gt;
&lt;br /&gt;
[[RotationStage - HowTo]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Operating_a_Metal_Lathe&amp;diff=3574</id>
		<title>Operating a Metal Lathe</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Operating_a_Metal_Lathe&amp;diff=3574"/>
		<updated>2019-05-29T18:25:02Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Activities */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[File:G0602z.jpg| 600px|thumb | Grizzly G0602Z|right]]&lt;br /&gt;
&lt;br /&gt;
== Permanent Materials ==&lt;br /&gt;
&lt;br /&gt;
- G0602Z Lathe and Tool Bits&amp;lt;br&amp;gt;&lt;br /&gt;
- Tailstock Chuck, Countersink and Drill Bits&amp;lt;br&amp;gt;&lt;br /&gt;
- Live Tailstock Center&amp;lt;br&amp;gt;&lt;br /&gt;
- Cutoff Tool&amp;lt;br&amp;gt;&lt;br /&gt;
- Digital Calipers&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Consumable Raw Materials ==&lt;br /&gt;
&lt;br /&gt;
- Al 6061 3/8&amp;quot; Diameter Rod Stock (for 1/4-20 screw)&amp;lt;br&amp;gt;&lt;br /&gt;
- Al 6061 5/16&amp;quot; Diameter Rod Stock (for 8-32 screw)&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Activities ==&lt;br /&gt;
&lt;br /&gt;
Basic Idea: Make a 1&amp;quot; 8-32 or 1/4-20 Fully-Threaded Flathead Screw with Chamfered Tip from rough stock.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;CLEAN UP AREA AFTER EACH LAB SESSION&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
&#039;&#039;&#039;NOTE:&#039;&#039;&#039; Apply oil to ball oilers at start of machining session&lt;br /&gt;
&lt;br /&gt;
# Get a safety demonstration from the instructor or TA.&lt;br /&gt;
# Read the [[Media:Grizzlyg0602z_Lathe.pdf| G0602Z manual]] Introduction and Safety sections (pages 3-13) and the Operations section (pages 25-48). You can also view a few of the many good [https://www.youtube.com/results?search_query=how+to+metal+lathe how-to-lathe videos on YouTube].&lt;br /&gt;
# Read the Wikipedia page on [https://en.wikipedia.org/wiki/Screw_thread Screw Threading]. Take a look at the [https://www.engineersedge.com/screw_threads_chart.htm ANSI External Screw Thread Size and Tolerances Chart].&lt;br /&gt;
# Use [https://en.wikipedia.org/wiki/AutoCAD AutoCAD] (on virtual machine on mother in APL) to make a technical drawing of a 1&amp;quot; 8-32 or 1/4-20 fully-threaded flathead screw with chamfered tip. If you&#039;re new to AutoCAD you can view a few of the many good AutoCAD-for-beginners [https://www.youtube.com/results?search_query=autocad tutorials on YouTube]. Show drawing to Instructor or TA before moving on.&lt;br /&gt;
# Read the Wikipedia page on [https://en.wikipedia.org/wiki/Speeds_and_feeds machining speeds and feeds]. Calculate Spindle Speed with this [https://littlemachineshop.com/mobile/speeds_feeds.php online calculator]. Verify that the lathe&#039;s current spindle speed is less than or equal to the calculated spindle speed. If not, discuss with the instructor or TA (DO NOT ATTEMPT TO CHANGE THE SPINDLE SPEED OR GEARING YOURSELF).&lt;br /&gt;
# Set up a &#039;&#039;rough cut&#039;&#039; of an appropriate length of round Al stock with which to make a screw with the bandsaw - Get instructor or TA approval before making the cut. Clean up metal shavings and put bandsaw and stock back in storage areas.&lt;br /&gt;
# To get an idea of the screw-making process take a look at this [https://www.youtube.com/watch?v=Lb_BURLuI70 Youtube video].&lt;br /&gt;
# Mount the rough stock in the lathe chuck (rough side facing out). Get instructor or TA approval before facing off the rod.&lt;br /&gt;
# Face off the rod. With the tailstock chuck, drill a small hole in the open (faced off) end of the rod (so that the live center will fit in and secure the tail end of the rod). &lt;br /&gt;
# Use the live center in the tailstock to secure the tail end of the rod. Get instructor or TA approval before proceeding. &lt;br /&gt;
# Turn down the rod&#039;s diameter (where the threads will be made) to the nominal major diameter for your screw size (see thread size chart above).&lt;br /&gt;
# Put an ~ 45% chamfer on the tail end of the rod.&lt;br /&gt;
# After a demonstration (very important - do not attempt threading without a demonstration) by the instructor or TA proceed with cutting the threads for your screw. &lt;br /&gt;
# Continue threading until your threads are well matched by the [[Media:Screw_pitch_gage.jpg | screw pitch gauge]].&lt;br /&gt;
# After the threads are well matched to the gauge, try to fit an appropriately-sized nut onto the threads. If it doesn&#039;t fit or fits too tightly, lightly file down the threads and try again. &lt;br /&gt;
# Use the cutoff tool to &#039;&#039;part&#039;&#039; your screw.&lt;br /&gt;
# Put a small groove on the screw head to create a slot for a screwdriver.&lt;br /&gt;
# Put all tools back into storage and clean up area.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Useful Information ==&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=Clark-MXR_CPA-Series_Ti:Sapphire_laser&amp;diff=3573</id>
		<title>Clark-MXR CPA-Series Ti:Sapphire laser</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=Clark-MXR_CPA-Series_Ti:Sapphire_laser&amp;diff=3573"/>
		<updated>2019-05-29T18:14:01Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: /* Clark-MXR CPA 2110 Ti:Sapphire laser */&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;==== Clark-MXR CPA 2110 Ti:Sapphire laser ====&lt;br /&gt;
&lt;br /&gt;
Wavelength: 775nm &amp;lt;br&amp;gt;&lt;br /&gt;
Output Average Power: 1 W &amp;lt;br&amp;gt;&lt;br /&gt;
Pulse Energy: 1mJ &amp;lt;br&amp;gt;&lt;br /&gt;
Peak Power: 6.7 GW &amp;lt;br&amp;gt;&lt;br /&gt;
Peak Intensity: 33.5 GW/cm^2 &amp;lt;br&amp;gt;&lt;br /&gt;
Rep Rate: 1kHz (up to 2 kHz) &amp;lt;br&amp;gt;&lt;br /&gt;
Pulse Width: &amp;lt;150fs&amp;lt;br&amp;gt;&lt;br /&gt;
Polarization: linear horizontal&amp;lt;br&amp;gt;&lt;br /&gt;
Beam Diameter: 4-6 mm FWHM&amp;lt;br&amp;gt;&lt;br /&gt;
Beam Area: ~ 0.2 cm^2&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Useful Info:&amp;lt;br&amp;gt;&lt;br /&gt;
[[Media:CPA-Series-N-201801-01.pdf ]]&amp;lt;br&amp;gt;&lt;br /&gt;
[[Media:Topas-C.pdf]]&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
	<entry>
		<id>https://newjune.uoregon.edu/mediawiki/index.php?title=File:Topas-C.pdf&amp;diff=3572</id>
		<title>File:Topas-C.pdf</title>
		<link rel="alternate" type="text/html" href="https://newjune.uoregon.edu/mediawiki/index.php?title=File:Topas-C.pdf&amp;diff=3572"/>
		<updated>2019-05-29T18:12:28Z</updated>

		<summary type="html">&lt;p&gt;Bsboggs: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Bsboggs</name></author>
	</entry>
</feed>