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NOTE: You would have to clearly mark out the cut-off frequencies and the slopes of the magnitude lines (e.g., ±20 dB/decade), and the phase angle values in your asymptotic Bode plots. For your convenience, it is okay to approximate phase angle and magnitude values in your Bode plots. Problem 1 Let us draw the asymptotic Bode plot of the following transfer function: 10 s (s + 1) (s + 10) but we will do so by constructing the Bode plots for each of the first order terms separately, where, H(s) = and H(s) H₁(s) H₂(s) H3(s) H₁(s) = 8, H₂(s) = H3(s) = 1 s+1 10 s+10 and then putting those plots together (i.e., by stacking them on top of each other). a) Draw the asymptotic Bode plot of H₁(s) = s b) Draw the asymptotic Bode plot of H₂(s) c) Draw the asymptotic Bode plot of H3(s) = = +/+ . 10 s+10

NOTE: You would have to clearly mark out the cut-off frequencies and the slopes of the magnitude lines (e.g., ±20 dB/decade), and the phase angle values in your asymptotic Bode plots. For your convenience, it is okay to approximate phase angle and magnitude values in your Bode plots. Problem 1 Let us draw the asymptotic Bode plot of the following transfer function: 10 s (s + 1) (s + 10) but we will do so by constructing the Bode plots for each of the first order terms separately, where, H(s) = and H(s) H₁(s) H₂(s) H3(s) H₁(s) = 8, H₂(s) = H3(s) = 1 s+1 10 s+10 and then putting those plots together (i.e., by stacking them on top of each other). a) Draw the asymptotic Bode plot of H₁(s) = s b) Draw the asymptotic Bode plot of H₂(s) c) Draw the asymptotic Bode plot of H3(s) = = +/+ . 10 s+10

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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**Problem 1: Bode Plot Construction and Analysis** --- To construct the asymptotic Bode plot of the given transfer function: \[ H(s) = \frac{10s}{(s+1)(s+10)} \] We will break it down into plots for each first-order term separately: \[ H(s) = H_1(s) \cdot H_2(s) \cdot H_3(s) \] Where: - \( H_1(s) = s \) - \( H_2(s) = \frac{1}{s+1} \) - \( H_3(s) = \frac{10}{s+10} \) These plots are combined by stacking them on top of each other. ### Tasks: a) Draw the asymptotic Bode plot of \( H_1(s) = s \). b) Draw the asymptotic Bode plot of \( H_2(s) = \frac{1}{s+1} \). c) Draw the asymptotic Bode plot of \( H_3(s) = \frac{10}{s+10} \). d) Finally, use the above results to draw the asymptotic Bode plot of: \[ H(s) = H_1(s) \cdot H_2(s) \cdot H_3(s) \] ### Notes: - Clearly mark the cut-off frequencies and the slopes of the magnitude lines (e.g., ±20 dB/decade). - Approximate phase angle and magnitude values in your Bode plots. - Combine individual plots by adding decibel scales and stacking the phase angles.
Transcribed Image Text:**Problem 1: Bode Plot Construction and Analysis** --- To construct the asymptotic Bode plot of the given transfer function: \[ H(s) = \frac{10s}{(s+1)(s+10)} \] We will break it down into plots for each first-order term separately: \[ H(s) = H_1(s) \cdot H_2(s) \cdot H_3(s) \] Where: - \( H_1(s) = s \) - \( H_2(s) = \frac{1}{s+1} \) - \( H_3(s) = \frac{10}{s+10} \) These plots are combined by stacking them on top of each other. ### Tasks: a) Draw the asymptotic Bode plot of \( H_1(s) = s \). b) Draw the asymptotic Bode plot of \( H_2(s) = \frac{1}{s+1} \). c) Draw the asymptotic Bode plot of \( H_3(s) = \frac{10}{s+10} \). d) Finally, use the above results to draw the asymptotic Bode plot of: \[ H(s) = H_1(s) \cdot H_2(s) \cdot H_3(s) \] ### Notes: - Clearly mark the cut-off frequencies and the slopes of the magnitude lines (e.g., ±20 dB/decade). - Approximate phase angle and magnitude values in your Bode plots. - Combine individual plots by adding decibel scales and stacking the phase angles.
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