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(a) Find the H(s) with the following hand-sketched Bode Magnitude plot.

(a) Find the H(s) with the following hand-sketched Bode Magnitude plot.

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
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3. Bode Plot and Interpretation (a) Find the H(s) with the following hand-sketched Bode Magnitude plot. 30 20 10 - 10 -20 - 30 -40 0.01 0.10 1 10 100 (b) The Bode plot for a Bandpass filter is shown below (gp)W
Transcribed Image Text:3. Bode Plot and Interpretation (a) Find the H(s) with the following hand-sketched Bode Magnitude plot. 30 20 10 - 10 -20 - 30 -40 0.01 0.10 1 10 100 (b) The Bode plot for a Bandpass filter is shown below (gp)W
30 10 -10 10 5000 104 50 100 500 1000 w (rad/s) 100 50 -50 -100 - 150 10 5000 104 50 100 500 1000 w (rad/s) From the Bode plot find the center frequency w, and estimate the Bandwidth of this BPF. (use a ruler to estimate wl and w2) (c) For an input of vi(t) = Cos(100 t) + Cos(500 t) + Cos(2000 t) Volt, find the steady-state vo(t) from the Bode Plots shown in Part (b). (You can only estimate the appropriate values from the plot. Do not attempt to find the exact expression for H(w)) ( 20 (gp) W Phase (degree)
Transcribed Image Text:30 10 -10 10 5000 104 50 100 500 1000 w (rad/s) 100 50 -50 -100 - 150 10 5000 104 50 100 500 1000 w (rad/s) From the Bode plot find the center frequency w, and estimate the Bandwidth of this BPF. (use a ruler to estimate wl and w2) (c) For an input of vi(t) = Cos(100 t) + Cos(500 t) + Cos(2000 t) Volt, find the steady-state vo(t) from the Bode Plots shown in Part (b). (You can only estimate the appropriate values from the plot. Do not attempt to find the exact expression for H(w)) ( 20 (gp) W Phase (degree)
Expert Solution
Step 1

(a) We have to find the H(s) for the following Bode magnitude plot:

Electrical Engineering homework question answer, step 1, image 1

Figure-(1)

(b) We have to find the center frequency (ω0) and bandwidth of the band pass filter whose Bode plot is shown below:

Electrical Engineering homework question answer, step 1, image 2

Figure-(2)

(c) We have to find steady-state output V0t from Bode plot of figure-(2), for input voltage:

Vit=cos100t+cos500t+cos2000t Volt.

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