LAB 2

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CUNY New York City College of Technology *

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1222

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Electrical Engineering

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Apr 3, 2024

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Date experiment completed……………………………..2/24/2023 Date due……………………………………………..03/02/2023 Date Handed in…………………………………. Squad No…………… List Members: ………………………………………………………… …………………………………………………………. …………………………………………………………. …………………………………………………………. Returned For corrections…………………………….. Correction Due…………………………………………….. Corrections Handed in…………………………………. Comments Grade…………………Approved by……………………. NEW YORK CITY COLLEGE OF TECHNOLOGY OF THE CITY UNIVERSITY OF NEW YORK REPORT FOLDER 1 TABLE OF CONTENTS Section Title Page No. Experiment No: 2 Title:R-L-C-Components Students Only Faculty Only
2 1. Objective 3 2. Introduction/Brief Theory 4 3. Equipment 5 4. Result 6 5. Analysis 10 6. Conclusion 11 7. Reference Objective
3 1. Develop skills with the oscilloscope as a voltage measuring device. 2. Measure the impedance of an element using a current sensing resistor. Introduction/Brief Theory
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4 The dual-channel oscilloscope is an electronic test instrument whose main function is to test and compare the amplitude, frequency, waveform shape, etc., between two signals, while the audio oscillator is used to generate waveform test signals of a specific frequency. However, in this lab experiment, we are conducting both equipments to test and measure the R-L-C-Components.
5 Equipment 1. Resistors 100 Ω and 1.2KΩ 2. Inductor 10mH 3. Capacitor 0.47 µF 4. Dual Channel Oscilloscope 5. Audio Oscillator 6. Digital Multimeter(DMM)
6 Result RUN I) Impedance measurement of a resistor Figure 1: Connect Circuit of RUN I 4.According to figure 1, we found RMS voltage across the 100 Ohms resistor with the DMM equals to 141.421mV . 5.Peak value of V RS = 2 117.923 mV ≈ 0.1668 V . 6.Peak to Peak value of V RS = 2 0.1668 V = 0.336 V 7.Peak to peak value of the current through the sensing resistor , I pp = V RSPP R s , hence I pp = 0.336 V 100 Ω = 0.00336 A 3.36 mA . 8.Determmine R , R = 4 V PP I PP , hence R = 4 V 3.36 mA 1190.48 Ω.
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7 RUN II) Capacitive Reactance Figure 2: Connect the circuit of RUN II 4.According to figure 2, we found RMS voltage across the 100 Ohms resistor with the DMM equals to 412.318mV . 5.Peak value of V RS = 2 412.318 mV ≈ 0.583 V . 6.Peak to Peak value of V RS = 2 0.583 V = 1.166 V 7.Peak to peak value of the current through the sensing resistor , I pp = V RSPP R s , hence I pp = 1.166 V 100 Ω = 0.01166 A 11.66 mA . 8.Determmine the magnitude of X C , X C = V CPP I PP , hence X C = 2 V 11.66 A 171.527 Ω.
8 RUN III) Inductive reactance Figure 3 Connect the circuit of RUN III 4.According to figure 3, we found RMS voltage across the 100 Ohms resistor with the DMM equals to 139.996mV . 5.Peak value of V RS = 2 139.996 mV ≈ 0.198 V . 6.Peak to Peak value of V RS = 2 0.198 V = 0.396 V 7.Peak to peak value of the current through the sensing resistor , I pp = V RSPP R s , hence I pp = 0.396 V 100 Ω = 0.00396 A 3.96 mA . 8.Determmine X L , X L = V LPP I PP , hence X L = 1 V 3.96 mA 252.525 Ω.
9 Question 1: From RUN I compare the results from step 2 with step 8 by finding the % difference. Answer: % difference = 1200 1190.48 1200 100 0.79 . Question 2 : Using the name plate value of the capacitor(0.47µF) calculate the reactance X C of the capacitor from RUN II. Compare the results of this calculation with step 8 of RUN II, Find the % difference. Answer: C=0.47µF , f=2000hz , Hence X C = 1 2 π 2000 ¿¿ , and % difference= 171.527 169.314 171.527 100 1.29 . Question 3: Using the name plate value of the inductor(10mH) calculate the c X L of the capacitor from RUN III. Compare the results of this calculation with step 8 of RUN III, Find the % difference. Answer: L=10mH , f=4000hz , Hence X L = 2 π 4000 ( 10 10 3 ) 251.327 , and % difference= 252.525 251.327 252.525 100 0.47 . Question 4: Find the ratio of X L to R L . Answer: X L = 252.525 Ω , R L = 10 mH and X L = 252.525 ( 2 π 4000 ) 0.010048 10.048 mH . Thus, X L R L = 10.048 mH 10 mH = 1.0048 .
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10 Analysis In RUN I), we set the audio oscillator to a frequency of 1Khz and voltage across R to 4 V PP reading on the oscilloscope. During this process, we found out RMS voltage across the 100 Ohms resistor with the DMM is 141.421mV, and the Peak value/peak-to-peak values of V RS are 0.1668V and 0.336V. To calculate the peak-to-peak value of the current through the sensing resistor, we need to apply the formulae: I pp = V RSPP R s , hence I pp = 0.336 V 100 Ω = 0.00336 A 3.36 mA , and from there, we could also calculate the experimental R value through formulae: R = 4 V PP I PP , hence R = 4 V 3.36 mA 1190.48 Ω. In RUN II), we set the audio oscillator to a frequency of 2Khz and voltage across V C to 2 V PP reading on the oscilloscope. During this process, we found out RMS voltage across the 100 Ohms resistor with the DMM is 412.318mV, and the Peak value/peak-to-peak values of V RS are 0.583V and 1.166V. To calculate the peak-to-peak value of the current through the sensing resistor, we need to apply the formulae: I pp = V RSPP R s , hence I pp = 1.166 V 100 Ω = 0.01166 A 11.66 mA , and from there, we could also calculate the experimental X C value through formulae: X C = V CPP I PP , hence X C = 2 V 11.66 A 171.527 Ω. In RUN III), we set the audio oscillator to a frequency of 4Khz and voltage across V L to 1 V PP reading on the oscilloscope.During this process, we found out RMS voltage across the 100 Ohms resistor with the DMM is 139.996mV , and the Peak value/peak-to-peak values of V RS are 0.198V and 0.396V. To calculate the peak-to-peak value of the current through the sensing resistor, we need to apply the formulae: I pp = V RSPP R s , hence I pp = 0.396 V 100 Ω = 0.00396 A 3.96 mA , and from there, we could also calculate the experimental X L value through formulae: X L = V LPP I PP , hence X L = 1 V 3.96 mA 252.525 Ω.
11 Conclusion In this laboratory experiment, we developed skills with the oscilloscope as a voltage- measuring device and learned how to measure the impedance of an element by using a current-sensing resistor. Overall, this laboratory experiment was relatively successful.
12 Reference 1.EXPERIMENT“FREQUENCY RESPONSE OF R L AND C COMPONENTS” LAB#3MANUAL, DEPARTMENT OF ELECTRICAL AND TELECOMMUNICATIONS ENGINEERING TECHNOLOGY, NEW YORK CITY COLLEGE OF TECHNOLOGY, SPRING 2023.
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