5.3 Lab Assignment Phase analysis & Frequency response in an RL Circuit

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Electric Circuits LAB EET113 Unit5 Lab #9 Phase analysis & Frequency response in an RL circuit By: Trevor Davis Date: 01/18/2023 Online EET Department ECPI University 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

In an RL Circuit: Analyzing Phase Lead, Total current, phase angle and Frequency Response of a Low-Pass Filter Abstract: This lab will study and analyze phase angle, frequency response of a low pas filter, as well as total current, and phase lead. Introduction : This lab I studied and measured the phase lead in a series RL circuit. In that circuit, I was able to measure the phase angle, total current, and voltage sourse in a parallel RL circuit to find the frequency response Part-1 Analyzing Phase Lead in an RL Circuit. Method and Procedure:  Review the solution on Page 461, Example 11-11 in your textbook.  Open the MultiSim software (On XenDesktop or on your laptop) and run the downloaded files E16-04A.ms8 and E16-04B.ms8 .  Do the Related Problem. a) Calculate the phase lead (When R=2.2KΩ and XL=1 KΩ). b) Run circuit E16-04A.ms8, and measure the phase lead. c) Run circuit E16-04B.ms8, and measure the phase lead. 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. a) Calculate and measure the phase lead (When R=2.2KΩ and XL=1 KΩ). ∅ = tan − 1 ( 𝑅 𝑋𝐿 ) = tan − 1 ( 2.2 𝑘 1 𝑘 ) = 65.6 ° Place your screenshot here. Add measured phase differences to the table below. 3

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Ø = 69.7° b) Run circuit E16-04A.ms8, and measure the phase lead. Place your screenshot here. Add measured phase differences to the table below 4

Ø = 72.8° c) Run circuit E16-04B.ms8, and measure the phase lead. Place your screenshot here. Add measured phase differences to the table below 5

Ø = 63.8° Fill in the following table: 6

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Phase lead Calculated Measured Example 11-11 (a) Ø = 71.6º Ø = 72.8° Example 11-11 (b) Ø = 65.2º Ø = 63.8° Related problem Ø = 65.6° Ø = 67.9 Part-2 Total current and phase angle in a parallel RL circuit. Method and Procedure  Review the solution on Page 470, Example 11-17 in your textbook  Open the MultiSim software (On XenDesktop or on your laptop) and run the downloaded file E16-10.ms8.  Measure the total current, the source voltage and the phase angle.  Draw the phasor diagram in Multisim. Results and Figures : (Include your calculations, measurements, formulas & screenshots from Multisim if appropriate. Your instructor needs to see all your work) a) Include your measured values in the table below. Example 11-17 Calculated Measured Vs (RMS) 10V (RMS) V (RMS) = 9.98V (RMS) I (Total) 8.42 mA I = 8.39 mA Phase angle Ø = -57.3º Ø = 0° b) Include your Multisim screenshots here. (Show how the phase difference is measured) Note-1 : As you learned before, place a very small resistor in the circuit and use an Scope to display the voltage across it which it will in phase with its current, since a resistor is a linear element. 7

Ø = 0° c) Include your phasor diagram from Multisim here. Part-3 Frequency Response of a Low-Pass Filter Method and Procedure: Review the information on Low-Pass filters on pages 486-478 and Figures 11-60, 11-61. 1. Use MultiSim to CONSTRUCT your own “Low Pass Filter” circuit (Like the one in Figure 11-60) a. Voltage Source = 10Vrms b. Inductor value = 5.6H c. Resistor value = 1 Kohms 2. Vary the voltage source frequency. Test your circuit at multiple frequencies and determine at what frequency the output voltage equals the input voltage. 9

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3. Test your circuit at multiple frequencies and determine at what frequency the output voltage is effectively 0 volts. 4. Produce a frequency response curve similar to the one in figure 11-61 to record your results. Results and Figures : (Include your calculations, measurements, formulas & screenshots from Multisim if appropriate. Your instructor needs to see all your work) a) Place your Multisim screenshot (From the Low pass filter circuit) here. 10

Note-2: How to plot the frequency response of a filter. After you build your filter circuit, place a DMM across R1 to measure the Vout. Keep in mind that DMM measures RMS (Root Mean Squared) value of an AC signal. Make a table as shown below with two columns, one for the voltage source frequency and one for the Vout. As you vary the source voltage frequency, measure the Vout for each frequency and fill in the following table. Then plot the frequency versus the Vout. You may use the downloaded excel file to make the frequency response plot. Just copy and paste this table into the excel file. It will plot it automatically. b) Fill in the following table. As you vary the source frequency, use a DMM to measure the Vout across the resistor. Frequency (Hz) Vout (RMS ) Volts 1 9.992 V 10 9.43 V 11

50 4.93 V 100 2.726 V 300 940.111 mV 600 471.627 mV 1000 283.177 mV 5000 56.657 mV 10000 28.329 mV 100000 2.833 mV 300000 944.301 uV c) Place your Frequency response curve here (Use the downloaded excel file) Conclusions: I was able to verify impedance varied and was directly due to the frequency of the RL circuit. 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 12

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