Fall23ENG Capacitors Lab Online-Analysis

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University of Texas, San Antonio *

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1073

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Electrical Engineering

Date

Apr 3, 2024

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docx

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5

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Analysis of RC Circuits Lab Name_______________________________________________ Course/Section______________________ Instructor___________________________ Table 1 (15 points) Voltage _________________ Area (mm 2 ) Separation (mm) Capacitance (F) Charge (C) Run 1 Run 2 Run 3 Run 4 Run 5 Run 6 Run 7 1. In the theory section you are provided two different equations to calculate the capacitance of a capacitor. Using your data for each run calculate it both ways to see that they both give the same results. Show one complete sample calculation for each equation. Be sure to watch Significant Figrues. (10 points) Capacitance (F) (using Equation 1) Capacitance (F) (using Equation 5) Run 1 Run 2 Run 3 Run 4 Run 5 Run 6 Run 7 1
2. How does changing the applied voltage for a parallel-plate capacitor affect the values of the charge, Q? (Use data or results to justify you answer.) How does changing the applied voltage for a parallel-plate capacitor affect the values of the Capacitance, C? You must explain your answer in terms of the ratio, Q V . ( HINT: You can actually see what happens for both in the simulator by increasing or decreasing the voltage from the battery ) (10 points) Table 2 (10 points) Separation _______________ Plate Area_______________ Voltage (V) Charge (C) Run 1 Run 2 Run 3 Run 4 Run 5 Run 6 Run 7 3. Using Excel or some other graphing software, plot Voltage vs Charge. Add the trendline to the Voltage vs Charge graph. Turn in your graph here or at the end of the worksheet. (10 points) 2
4. What is the value of the slope of the Trendline. What is the SI unit of the slope? What physical quantity does the slope of the graph represent? (5 points) 5. Using calculus, find the area under the curve. This can be done by hand or in a high-end calculator, Excel, or directly on the graph. In any case, you must provide evidence of your calculation for credit. Make sure your answer is written on the graph AND written in the space below . (5 points) Area Under Curve ___________________________ 6. What are the SI units of the area under the curve? What physical quantity does the area under the curve represent? (5 points) Table 3 (10 points) Separation ______ ___ Plate Area_______ ___ Voltage, V (before) Voltage, V (after) Energy, J (before) Energy, J (after) Run 1 Run 2 Run 3 Run 4 Run 5 3
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1. Using Excel or another graphing software, plot Energy (before) vs. Energy (after). Add the trendline and its equation to the graph. What is the value of the slope of the trendline? Turn in your graph here or at the end of the worksheet. (5 points) 2. Using Excel or another graphing software, plot Voltage (before) vs. Voltage (after). Add the trendline and its equation to the graph. What is the value of the slope of the trendline? Turn in your graph here or at the end of the worksheet. (5 points) 4
3. Do the slope values for each graph match the value we set for the dielectric constant? Calculate the % error for each. (5 points) 4. For each run, did the capacitance increase, decrease or stay constant? By what factor did it increase? Does this agree with the theory? (5 points) 5