4.4 Lab Assignment_EET113_ U4_ Lab8_Analysis of Series Capacitors

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Electric Circuits LAB EET113 Unit4 Lab# 8 Analysis of Series Capacitors By: Trevor Davis Date: 01/12/2023 Online EET Department ECPI University EET113_W4_LabAssignment8 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 a Judicial Review Board hearing if summoned. Name ...................... Date xx/xx/20xx 1

Mandatory Lab Conduct Figures All of your lab reports will require a “screenshot” figure containing the MultiSim circuit, the computers system tray, and the file information window. Your instructor needs to see the “Time Stamp” on this screenshot to make sure your work is original. An example of the screenshot is illustrated below with the required items circled in red. This figure with the required components is captured by: 1) Displaying the file information window=>Select “File”, then “File Information.” 2) For Windows based computers, press the Print Screen key on your keyboard and then paste the figure into your Word document 3) For Mac computers using XenDesktop, press at the same time “Command”, “Shift”, and “3” in order to take a screenshot or press “Command”, “Shift”, and “4” in order to generate cross-hairs with your pointer that can be used to select the area that you want to copy. In either case, the screenshot/desired image will be automatically saved to your computer desktop (Not the XenDesktop). You will need to insert the screenshot/desired image into your Word document You are required to place your first MultiSim screenshot figure in the section labeled, “ Place your screenshot with “Time Stamp” Here”. 2

Calculating & Measuring Series Capacitance and Measuring DC Voltages Abstract: (Student needs to write this). The abstract should not exceed four or five sentences. The abstract should be self contained and meaningful on its own with the intent that any reader can understand the primary purpose and findings of the lab at a very high summary level. Introduction : (Student needs to write this). In your own words, explain the reason for performing the experiment and give a concise summary of the theory involved, including any mathematical detail relevant to later discussion in the report. Part-1 Calculating & Measuring Series Capacitance and Measuring DC Voltages 3

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Method and Procedure:  Review the solution on Page 525, Example 12-8 in your textbook.  Open the MultiSim software (On XenDesktop or on your laptop) and run the downloaded file “ SeriesCap1.ms8 ”  Calculate the total capacitance of all 3 capacitors. 1 / C = 1 / C1 + 1 / C2 + 1 / C3  Measure the total capacitance (Use impedance meter)  Measure the voltages across each capacitor in the MultiSim circuit.  Add a 0.47 uF capacitor to the circuit (In series)  Calculate the total capacitance of all 4 capacitors. 1 / C = 1 / C1 + 1 / C2 + 1 / C3 + 1 / C4  Measure the total capacitance (Use impedance meter)  Measure the voltages across each capacitor in the MultiSim circuit. Results and Figures : (Include your calculations, measurements, formulas & screenshots from Multisim if appropriate. Your instructor needs to see all your work.) Place your screenshot with “Time Stamp” Here. 4

a) Place screenshot of your Multisim circuit + the impedance meter here. b) Calculate the total capacitance of all 3 capacitors. 1 / C = 1 / C1 + 1 / C2 + 1 / C3 C = 59.98 nF 𝐶 𝑇 = 1 1 100 𝑛𝐹 + 1 470 𝑛𝐹 + 1 220 𝑛𝐹 = 59.98 𝑛𝐹 5

c) Measure the total capacitance (Use Impedance meter as you learned before, then use Equation 12-25 to obtain the capacitance) Measured impedance XC = 44.22 k Ω XC = 1 / (2 π f C) Calculate from XC: C = 𝐶 = 1 / ( ( 2 𝜋 ) ( 60 𝐻𝑧 ) ( 44.22 𝑘 Ω ) ) = 59.98 𝑛𝐹 Fill in the following table: Total Capacitance Calculated Measured Part-1 C = 59.98 nF C = 59.98 nF 4) Measure the voltages across each capacitor in the MultiSim circuit. Place your screenshot here. Fill in the following table: Voltage (V) Calculated Measured C1 V1 = 15.0 V V1 = 14.96 V 6

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C2 V2 = 3.19 V V2 = 3.206 V C3 V3 = 6.82 V V3 = 6.834 V After adding C4=0.47 uF capacitor to the circuit (In series), 5) Place screenshot of your Multisim circuit + the impedance meter here 6) Total calculated capacitance = 53.19 nF 𝐶 𝑇 = 1 1 100 𝑛𝐹 + 1 470 𝑛𝐹 + 1 220 𝑛𝐹 + 1 470 𝑛𝐹 = 53.19 𝑛𝐹 Total measured impedance = 49870 Ω XC = 1 / (2 π f C) Calculate from XC: C = 53.19 nF Fill in the following table: Total Capacitance Calculated Measured Part-1 C = 53.19 nF C = 53.19 nF 7) Measure the voltages across each capacitor in the MultiSim circuit. Place your screenshot here. 7

Fill in the following table: Voltage (V) Measured Measured For C1,C2,C3 For C1,C2,C3,C4 C1 V1 = 14.96 V V1 = 13.275 V C2 V2 = 3.206 V V2 = 2.837 V C3 V3 = 6.834 V V3 = 6.052 V C4 --------- V4 = 2.837 V Conclusions: (Student needs to write this). In your own words, write a short paragraph for conclusions. It should not exceed three or four sentences In this experiment, we observed the voltage drop when the capacitances changed by adding a new capacitor in series. Because capacitors hold a given voltage/elect energy it will lessen the voltage in the circuit itself. However, the sim lab wasn’t able to maintain a steady voltage and it varied in readings as the sim was running. Would like a follow up to understand how this happens. Be sure the Conclusion of your Lab Report includes answers to these questions: 8

After adding the C4 = 0.47 uF, 1) Did the voltages change across the original three capacitors? a) Yes 2) If they did change, did they decrease or increase, or both? a) Decrease 3) What caused this change? a) Adding the Capacitor References: (You may use this list or any other list if appropriate) 1. Text book: Electric Circuits, Edited by Ron Smith, 2nd Edition, Pearson Custom Publishing 2. Multisim Software Version 14.0 3. Citations from the web (If you have used any). 4. Instructor’s note 2017. 9

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