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You are given the following transfer function, 20 (s2 + 5s + 25) H(s) = (s + 0.2) (s2 + 5s + 2500) (a) Plot the bode diagram clearly showing the slopes of the asymptotes and the height of any peaks. Compute the exact phase and magnitude at the frequencies o= 5 rad/s, o = 50 rad/s. Specifically plot the points at o = 5 rad/s, o = 50 rad/s and clearly mark these points on your Bode plot. Explain why your results make sense with regards of heights of peaks and asymptotes. Your explanation is important. (Do not use Matlab! A Matlab graph will not be accepted) (b) The input to the system is x(t) = 10 sin(100t), what is the output, y(t) in steady state? Roughly sketch both the input and the output on the same graph. Explain your sketch based on the Bode diagram.

You are given the following transfer function, 20 (s2 + 5s + 25) H(s) = (s + 0.2) (s2 + 5s + 2500) (a) Plot the bode diagram clearly showing the slopes of the asymptotes and the height of any peaks. Compute the exact phase and magnitude at the frequencies o= 5 rad/s, o = 50 rad/s. Specifically plot the points at o = 5 rad/s, o = 50 rad/s and clearly mark these points on your Bode plot. Explain why your results make sense with regards of heights of peaks and asymptotes. Your explanation is important. (Do not use Matlab! A Matlab graph will not be accepted) (b) The input to the system is x(t) = 10 sin(100t), what is the output, y(t) in steady state? Roughly sketch both the input and the output on the same graph. Explain your sketch based on the Bode diagram.

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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You are given the following transfer function, 20 (s2 + 5s + 25) H(s) = (s + 0.2) (s2 + 5s + 2500) (a) Plot the bode diagram clearly showing the slopes of the asymptotes and the height of any peaks. Compute the exact phase and magnitude at the frequencies o= 5 rad/s, o = 50 rad/s. Specifically plot the points at o = 5 rad/s, o = 50 rad/s and clearly mark these points on your Bode plot. Explain why your results make sense with regards of heights of peaks and asymptotes. Your explanation is important. (Do not use Matlab! A Matlab graph will not be accepted) (b) The input to the system is x(t) = 10 sin(100t), what is the output, y(t) in steady state? Roughly sketch both the input and the output on the same graph. Explain your sketch based on the Bode diagram.
Transcribed Image Text:You are given the following transfer function, 20 (s2 + 5s + 25) H(s) = (s + 0.2) (s2 + 5s + 2500) (a) Plot the bode diagram clearly showing the slopes of the asymptotes and the height of any peaks. Compute the exact phase and magnitude at the frequencies o= 5 rad/s, o = 50 rad/s. Specifically plot the points at o = 5 rad/s, o = 50 rad/s and clearly mark these points on your Bode plot. Explain why your results make sense with regards of heights of peaks and asymptotes. Your explanation is important. (Do not use Matlab! A Matlab graph will not be accepted) (b) The input to the system is x(t) = 10 sin(100t), what is the output, y(t) in steady state? Roughly sketch both the input and the output on the same graph. Explain your sketch based on the Bode diagram.
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