Lab03_B

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University of Virginia *

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1429

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Electrical Engineering

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Apr 3, 2024

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Lab 3 Capacitors L3-1 Name Date Partners Lab 3 - B - A Breath of Fresh... Water? OBJECTIVES After successfully completing this laboratory, you should be able to: understand the parameters that determine the capacitance of a given capacitor, describe the behavior of capacitors in DC circuits, and discuss various methods of determining the capacitance of an unknown capacitor. Recommended Reading: Walker 20.5-20.6, 21.6; Giancoli 24.1-24.3, 26.5; Knight 21.4-21.8, 23.5-23.7; OpenStax 19.5-19.7, 21.6 EQUIPMENT For your preliminary investigation, you will use a large blue capacitor (x2), light bulb #133, alligator clips (x2), and a double throw switch. For your RC investigation, you will use a 47 µ F capacitor (white plug) and 10 k resistor (brown plug). You will also use a PASCO voltage supply, connecting wires (x5), a voltage probe, and a multimeter. There will also be two PASCO RLC boards per room available for observation. PROBLEM You have been studying pulmonary edema, a condition that causes an excess of fluid to accu- mulate in the lungs, and are hoping to better understand some of the diagnosis techniques. Your research thus far has revealed that one possible technique involves monitoring the capacitance of the lungs, which changes with the addition of fluid. You hope to improve your understanding of the behavior of capacitors, and based on this under- standing develop a straightforward method of extracting information about the percentage of a lung that has become filled with fluid. University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024
L3-2 Lab 3 Capacitors DISCUSSION AND EXPLORATION Question 1: Consider the circuit below, where the capacitor is initially uncharged: Explain qualitatively what you expect will happen in the following situations: 1. the switch is first in position 2, 2. the switch is moved to position 1, and 3. the switch is moved back to position 2. Be specific about the physical processes happening in each element of the circuit. Use the additional box below if you need it. University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024
Lab 3 Capacitors L3-3 Question 2: Sketch a prediction for the voltage across the capacitor as a function of time when the switch is moved into position 1 after being in position 2 for a long time . Provide a physical explanation for the shape of your graph. Be specific about the shape. Sketch: University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024
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L3-4 Lab 3 Capacitors Question 3: Sketch a prediction for the voltage across the capacitor as a function of time while the switch is moved into position 2 after being in position 1 for a long time . Provide a physical explanation for the shape of your graph. Be specific about the shape. Sketch: In your exploration questions below use the PASCO power supply set at 6 V DC instead of a battery pack shown in the video. Make sure to use the large cylindrical capacitor (large blue capacitor) to answer Q4 and 5. University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024
Lab 3 Capacitors L3-5 Question 4: To check your predictions about the behavior of the light bulb assemble the circuit from question 1. To get help you with this circuit watch the first video in your in-lab 3B assignment on WebAssign. Once you built your own circuit observe the behavior of the light bulb. How do your predictions and results compare? Explain. Question 5: To test your predictions about the shape of the Voltage vs. Time graphs we can connect the voltage probe across the capacitor and take the necessary measurements. Watch how the measurement is done in the second video on WebAssign. Assemble your own circuit and collect the data. How do your predictions and results compare? Explain any discrepancies. For your future reference upload graphs into your in-class assignment. University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024
L3-6 Lab 3 Capacitors Question 6: It is convenient to discuss capacitor charging / discharging time in terms of a time constant – that is, the time required for the capacitor to reach about 63% of its maximum charge capacity: τ = RC (3.1) Use this expression to devise a method to indirectly measure the capacitance of an unknown capacitor. Explain. Hint: How is the charge on a capacitor related to the voltage across the capacitor? How can you determine the time it takes to get to 63% of the total possible charge from a voltage vs. time graph? Question 7: To test your predictions we can construct the following circuit with a 10 k resistor and a nominal 47 µ F capacitor mounted on a white plug. Watch the third video in your in-lab 3B assignment on WebAssign to see how this measurement can be done. University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024
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Lab 3 Capacitors L3-7 Question 8: Using the method devised in Question 6 conduct your own measurement and analyze the data to determine the capacitance. Compare the results of your method with the results of measuring the capacitance with a multimeter. Calculate the uncertainties on your final values and show the details below. How well do the values agree? Explain. Upload any relevant graphs into your in-class assignment. Record your values in the appropriate spaces below. Capacitance measured from time = ± µ F Capacitance measured with multimeter = ± µ F Ask your class instructor about the error of measurements made with the multime- ter. Concept Check Consider the following circuit, in which a light bulb (indicated by the circle with an X through it) and two capacitors are connected to a battery in series. University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024
L3-8 Lab 3 Capacitors Question 9: Respond to each of the following student predictions of how the circuit will behave. Be sure to indicate which student, if any, you agree with and why. 1. We predict that the light bulb will never light up because it is e ff ectively disconnected from the DC power supply at both ends by the two capacitors. The empty space between capacitor plates prevents a current from flowing in the circuit. 2. We predict that the light bulb will light up when the DC power supply is turned on and remain lit. We saw before that when there is one capacitor, it will charge fully and block the flow of current. However, now there are two capacitors so each will only charge half as much and won’t block the current. 3. We predict that the light bulb will light up when the DC power supply is turned on and dim as before. However, when the power supply is turned o ff the two currents from the discharging capacitors will cancel each other and the bulb will not light up. If you are having trouble thinking about these questions, watch the last video in your in-lab 3B assignment on WebAssign to see the circuit in action. Be prepared to discuss with the class. Please clean up your lab area University of Virginia Physics Department PHYS 2040 / 2419, Spring 2024