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• Adjust the vertical and horizontal scaling so that one cycle of the response is showing and is zoomed in so that the image fills a large part of the screen vertically. c. Measure the amplitude of the output voltage A₁ = The Vpp is displayed below the plot, and amplitude is half of Vpp • Or, use the cursors to measure the amplitude: Drag the line for cursor 2 (C2) from the left axis until the "+" sign is aligned with the peak of the CH 1 (blue) sine wave. Read the corresponding voltage for C2 (below the plot). d. Use the cursors to measure the time lag, AT, as you did in lab 7. dT= compute the phase lag. Phase lag, = degrees. 3. Determine the frequency response experimentally To use the method described in the background section, you must take amplitude and phase lag measurements at a number of input frequencies. Start by recording the AT and amplitude measurements for f = 1000 Hz measured in Step 3 into the table below. Note that | H(f)|=Ao/A₁ = A。 when A₁ = 1. Compute the log magnitude 20log | H(f)| and phase lag at for that frequency to complete the table. Normally, you would repeat the procedure done for f = 1000 Hz for a number of different frequencies. f(Hz) Phase 100 Magnitude Magnitude (dB) | ¢=

• Adjust the vertical and horizontal scaling so that one cycle of the response is showing and is zoomed in so that the image fills a large part of the screen vertically. c. Measure the amplitude of the output voltage A₁ = The Vpp is displayed below the plot, and amplitude is half of Vpp • Or, use the cursors to measure the amplitude: Drag the line for cursor 2 (C2) from the left axis until the "+" sign is aligned with the peak of the CH 1 (blue) sine wave. Read the corresponding voltage for C2 (below the plot). d. Use the cursors to measure the time lag, AT, as you did in lab 7. dT= compute the phase lag. Phase lag, = degrees. 3. Determine the frequency response experimentally To use the method described in the background section, you must take amplitude and phase lag measurements at a number of input frequencies. Start by recording the AT and amplitude measurements for f = 1000 Hz measured in Step 3 into the table below. Note that | H(f)|=Ao/A₁ = A。 when A₁ = 1. Compute the log magnitude 20log | H(f)| and phase lag at for that frequency to complete the table. Normally, you would repeat the procedure done for f = 1000 Hz for a number of different frequencies. f(Hz) Phase 100 Magnitude Magnitude (dB) | ¢=

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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• Adjust the vertical and horizontal scaling so that one cycle of the response is showing and is zoomed in so that the image fills a large part of the screen vertically. c. Measure the amplitude of the output voltage A₁ = The Vpp is displayed below the plot, and amplitude is half of Vpp • Or, use the cursors to measure the amplitude: Drag the line for cursor 2 (C2) from the left axis until the "+" sign is aligned with the peak of the CH 1 (blue) sine wave. Read the corresponding voltage for C2 (below the plot). d. Use the cursors to measure the time lag, AT, as you did in lab 7. dT= compute the phase lag. Phase lag, = degrees. 3. Determine the frequency response experimentally To use the method described in the background section, you must take amplitude and phase lag measurements at a number of input frequencies. Start by recording the AT and amplitude measurements for f = 1000 Hz measured in Step 3 into the table below. Note that | H(f)|=Ao/A₁ = A。 when A₁ = 1. Compute the log magnitude 20log | H(f)| and phase lag at for that frequency to complete the table. Normally, you would repeat the procedure done for f = 1000 Hz for a number of different frequencies. f(Hz) Phase 100 Magnitude Magnitude (dB) | ¢=<H(f) | |H(f)|=A./A; | 20log |H(f)|| 4. Perform a Sine Sweep: Slowly increase the frequency of the input signal in FGEN (change the time/div scale on the SCOPE as needed to see the sine wave clearly) from 100 Hz to 6000 Hz. This procedure is called a sine sweep. 5. Find the bandwidth: The bandwidth is the frequency at which the output amplitude = 0.707 of its low frequency value (for this circuit, the amplitude at 100Hz can be considered the low frequency value; so measure the output amplitude at 100Hz and then sweep the frequency until the output amplitude comes as close to 0.707 of that value as possible). You can use the Vpp
Transcribed Image Text:• Adjust the vertical and horizontal scaling so that one cycle of the response is showing and is zoomed in so that the image fills a large part of the screen vertically. c. Measure the amplitude of the output voltage A₁ = The Vpp is displayed below the plot, and amplitude is half of Vpp • Or, use the cursors to measure the amplitude: Drag the line for cursor 2 (C2) from the left axis until the "+" sign is aligned with the peak of the CH 1 (blue) sine wave. Read the corresponding voltage for C2 (below the plot). d. Use the cursors to measure the time lag, AT, as you did in lab 7. dT= compute the phase lag. Phase lag, = degrees. 3. Determine the frequency response experimentally To use the method described in the background section, you must take amplitude and phase lag measurements at a number of input frequencies. Start by recording the AT and amplitude measurements for f = 1000 Hz measured in Step 3 into the table below. Note that | H(f)|=Ao/A₁ = A。 when A₁ = 1. Compute the log magnitude 20log | H(f)| and phase lag at for that frequency to complete the table. Normally, you would repeat the procedure done for f = 1000 Hz for a number of different frequencies. f(Hz) Phase 100 Magnitude Magnitude (dB) | ¢=<H(f) | |H(f)|=A./A; | 20log |H(f)|| 4. Perform a Sine Sweep: Slowly increase the frequency of the input signal in FGEN (change the time/div scale on the SCOPE as needed to see the sine wave clearly) from 100 Hz to 6000 Hz. This procedure is called a sine sweep. 5. Find the bandwidth: The bandwidth is the frequency at which the output amplitude = 0.707 of its low frequency value (for this circuit, the amplitude at 100Hz can be considered the low frequency value; so measure the output amplitude at 100Hz and then sweep the frequency until the output amplitude comes as close to 0.707 of that value as possible). You can use the Vpp
Part A) Frequency Response Data The objective of Part A) is to show how you can get a Bode plot manually. In Lab 7, you took measurements of the response of this same circuit at two frequencies: 2000Hz and 9000Hz and found the output amplitude and phase. This information can be used to find | H(f)] and H(f) at those frequencies using the method in the background section. In a real situation, you would take a lot of measurements, say 15-20 frequencies. Here, we will demonstrate the procedure with just one frequency. 1. Find the response of the RLC circuit to an input of 2cos(2000лt). First, use the protoboard to build the RLC circuit shown BELOW. Voltage source provided by the function generator, FGEN, passed through the buffer circuit +15 FGEN IN PIN 8 Scope Channel 0 Al: 0+ PIN 3 OUT Scope Channel 1 AO:0 PIN 1 www Al: 1+ 3.3mH 1ΚΩ + -15 PIN 4 0.22μf PIN 2 AO: AGND Al: 1- Al: 0- Channel AO of the scope displays the input voltage, V., and Channel A1 of the scope displays the output vc. 2. Measure the steady-state output v. sine wave of your circuit to an input of v₂ = cos (2лft) for f = 1000 Hz. Follow these steps for this measurement: a. FGEN Settings • Set the frequency on FGEN to 1000 Hz • Set the amplitude to 2 Vpp (that is, peak to peak), so A; = 1v b. SCOPE Settings • Enable Channel 1 and set to Al 1 • Turn on the cursors (box is in the bottom left of the SCOPE) and set C1 to CHO and C2 to CH1 • Trigger set to edge (on AO)
Transcribed Image Text:Part A) Frequency Response Data The objective of Part A) is to show how you can get a Bode plot manually. In Lab 7, you took measurements of the response of this same circuit at two frequencies: 2000Hz and 9000Hz and found the output amplitude and phase. This information can be used to find | H(f)] and H(f) at those frequencies using the method in the background section. In a real situation, you would take a lot of measurements, say 15-20 frequencies. Here, we will demonstrate the procedure with just one frequency. 1. Find the response of the RLC circuit to an input of 2cos(2000лt). First, use the protoboard to build the RLC circuit shown BELOW. Voltage source provided by the function generator, FGEN, passed through the buffer circuit +15 FGEN IN PIN 8 Scope Channel 0 Al: 0+ PIN 3 OUT Scope Channel 1 AO:0 PIN 1 www Al: 1+ 3.3mH 1ΚΩ + -15 PIN 4 0.22μf PIN 2 AO: AGND Al: 1- Al: 0- Channel AO of the scope displays the input voltage, V., and Channel A1 of the scope displays the output vc. 2. Measure the steady-state output v. sine wave of your circuit to an input of v₂ = cos (2лft) for f = 1000 Hz. Follow these steps for this measurement: a. FGEN Settings • Set the frequency on FGEN to 1000 Hz • Set the amplitude to 2 Vpp (that is, peak to peak), so A; = 1v b. SCOPE Settings • Enable Channel 1 and set to Al 1 • Turn on the cursors (box is in the bottom left of the SCOPE) and set C1 to CHO and C2 to CH1 • Trigger set to edge (on AO)
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