Week 3 Lab 1 Capacitors in DC Circuits Lab Report

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ECPI University, Virginia Beach *

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111

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Electrical Engineering

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Dec 6, 2023

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Electric Circuits Lab Instructor: Cameron Ruddy Capacitors in DC Circuits Student Name(s): Brandon Walker Click or tap here to enter text. Honor Pledge: I pledge to support the Honor System of ECPI. I will refrain from any form of academic dishonesty or deception, such as cheating or plagiarism. I am aware that as a member of the academic community, it is my responsibility to turn in all suspected violators of the honor code. I understand that any failure on my part to support the Honor System will be turned over to a Judicial Review Board for determination. I will report to the Judicial Review Board hearing if summoned. Date: 0/18/2023

Contents Abstract ....................................................................................................................................................... 3 I ntroduction ................................................................................................................................................ 3 Procedures ................................................................................................................................................... 3 Data Presentation & Analysis ....................................................................................................................... 4 Calculations ............................................................................................................................................. 4 Required Screenshots .............................................................................................................................. 4 Conclusion ................................................................................................................................................... 4 References ................................................................................................................................................... 5 2

Abstract We will be learning in this lab how to measure resistance of capacitors and capacitance of RC circuits. We will be using function generators and an oscilloscope to help with our measurements. We will learn the effects of series and parallel in RC circuits time constants with the use of Vr, and Vc. I ntroduction We will be performing experiments to help us learn what the time constant for a RC circuit is and why this is important. We find that time constant is t=RxC and this determines the rate of charging and discharging in the circuit. Capacitors in series combine with the formula 1/ctotal=1/c1+1/c2+1/c3 for how every many capacitors in series. When capacitors are connected in parallel we use the equation Ctotal=C1+C2… for how every many capacitors in parallel. Capacitive reactance is how much capacitors resist the flow of AC with the formula XC=1/2piefC Procedures Part I: 1. Construct the circuit shown in Figure 1 in Mutism. Figure 1: Series RC Circuit 3

2. Connect Channel A of the oscilloscope across the voltage source and Channel B across the capacitor. 3. Set the function generator to 5V pp ; 100 Hz, Square Wave 50% duty cycle with 2.5 DC offset if using a function generator . If using clock voltage, set it to 5V pp , 100 Hz. The DC offset can be modeled by using DC mode on the oscilloscope. 4. Observe the signals on the scope screen. See Figure 2(a) below. (Use Volts/Div and Time/DIV settings to adjust the signal) Figure 2(a): Voltage across the Voltage Source and the capacitor 5. Disable Channel A, by setting it to 0, while observing Channel B. You should be able to see the waveform as shown below. Use time base and Channel A scale to adjust the signal. 4

Figure 2(b): Voltage across the capacitor 6. Change the time base (Sec/Div) until you have a clear waveform on the scope as shown in Figure 2(c). Figure 2(c): Voltage across the capacitor 7. Calculate the time constant of the RC circuit using the circuit parameter values. Record the result in Table 1 under calculated value. 5

 = R*C 8. Measuring the time constant with V C : i. Measure the peak value of the signal, by placing one of the cursors (T1) at the peak point ___5.00v______. ii. Calculate the 63% of the above value ___3.15v______. iii. Place the second cursor (T2) at the step (ii) value above and T1 at zero just before the capacitor voltage starts rising as shown in Figure 3 . iv. Observe the value of T2-T1 on the scope, which is the one time constant, as shown below. v. Record the result in Table 1 above under measured value using V C . Figure 5: Measuring RC time constant using V C 9. Connect Channel B of the oscilloscope across the resistor. 10. You should be able to see the waveform as shown below. (Use Volts/Div and Time/DIV knobs to adjust the signal) 6

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