lab5report

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CUNY LaGuardia Community College *

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Electrical Engineering

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Apr 3, 2024

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EE 22100 Electrical Engineering Laboratory I Spring 2023 Lab Report Experiment #5 RC Circuit Frequency and Time Response Instructor: Muhammad Irfan Name: Christian Chu Yang Date: 3/31/2023

Objective: The goal of this experiment is to introduce simple elementary concepts of circuit response in frequency and time domains. Introduction: Frequency and time response of circuits are crucial in filter design, feedback, and communications. In this experiment we will design a low and high pass filter Procedure: 1. Pre-lab: Frequency Domain response: Figure 1: Low Pass filter

Figure2: High-pass filter To express the magnitude of gain vs frequency for both circuits, we need the gain, g(jw) in polar form: |Gain of low pass| = 1 / (√ (1+ (wRC)2)) |Gain of high pass| = 1 / (√ (1+ (1/ (wRC)2)) Time domain Response: The output of both figures is calculated with the following formulas: Vout = Vin ( 1 - e -t / RC ) Vout = Vin ( e - t / RC ) 2. Lab simulations: Frequency Domain response: . .. .

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The band-pass filter shown in fig 3 is built in multism. Then we run an AC analysis and plot the frequency response on a loglog scale from 10<f<10MEG Time domain response: In multism, we simulate the circuit in figure 1 and 2 with a transient analysis to get a pulse voltage source. For figure 1 we do run 2 simulations with pulse period 12RC=0.0018 and end time 5ms, and a pulse period of 0.0006 with an end time of 5ms. We repeat the same simulation for figure 2 except that the second pulse period (2/3)RC we set it to an end time of 1ms. Text files are saved separately 3. Lab measurements: Frequency domain response: Build both circuits from figure 1 and 2 in the protobard. Then we set the AC voltage to 10 Vp-p. Then we connect Vin and Vout to channel 1 and 2 of the oscilloscope, respectively. The gain is measured with the following frequencies: 100Hz, 300Hz, 1kHz, 10kHz,100kHz,300kHz, and 1MHz and we record the results. The Frequency Response is then used to sweep the function generator from 50Hz to2MHz with a step of 40pts. We save the results on a text file, and repeat the same process for figure 2. We repeat the same process for figure 4c. Time Domain Response: Having figure 1 and 2 constructed on the protoboard, first for figure 1 we set Vl=0 and VH=1V. Measure Vout and Vin on channel 1 and 2 of oscilloscope, respectively. Save the results to a text files and repeat the same procedure for figure 2

Data and Graphical Analysis: 1. Frequency domain response: Figure1 data: frequency Vin Vout gain 100hz 10 10 1 300hz 10.6 10.4 1.019231 1khz 10.6 9.2 1.152174 10khz 10.2 2 5.1 100hkhz 10.2 0.8 12.75 300khz 10.2 1.2 8.5 1mhz 10.2 0.8 12.75 Figure 2 data: frequency Vin Vout gain 100hz 1.06 0.08 13.25 300hz 1.06 0.12 8.833333 1khz 1.02 0.142 7.183099 10khz 1.02 0.24 4.25 100hkhz 1.02 0.252 4.047619 300khz 1.02 0.256 3.984375 1mhz 1.02 0.248 4.112903