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4. For the bode plot below, what is the transfer function that represents this plot? H (dB) A O 0.1 1 Fa 10 +20 dB/decade -40 dB/decade @ (rad/s)

4. For the bode plot below, what is the transfer function that represents this plot? H (dB) A O 0.1 1 Fa 10 +20 dB/decade -40 dB/decade @ (rad/s)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Problem 4:** For the Bode plot below, what is the transfer function that represents this plot? **Graph Explanation:** - The plot is a magnitude Bode plot showing the logarithm of frequency, \( \omega \) (in rad/s), on the x-axis and the magnitude \( H \) (in dB) on the y-axis. - The plot is composed of two key slopes: - From \( \omega = 0.1 \) rad/s to \( \omega = 1 \) rad/s, the slope is +20 dB/decade. - From \( \omega = 1 \) rad/s to \( \omega = 10 \) rad/s, the slope changes to -40 dB/decade. These slopes indicate possible poles or zeros in the transfer function. The increase at +20 dB/decade suggests a zero, and the decrease at -40 dB/decade suggests two poles at higher frequencies. The challenge is to determine the mathematical transfer function representation from this information.
Transcribed Image Text:**Problem 4:** For the Bode plot below, what is the transfer function that represents this plot? **Graph Explanation:** - The plot is a magnitude Bode plot showing the logarithm of frequency, \( \omega \) (in rad/s), on the x-axis and the magnitude \( H \) (in dB) on the y-axis. - The plot is composed of two key slopes: - From \( \omega = 0.1 \) rad/s to \( \omega = 1 \) rad/s, the slope is +20 dB/decade. - From \( \omega = 1 \) rad/s to \( \omega = 10 \) rad/s, the slope changes to -40 dB/decade. These slopes indicate possible poles or zeros in the transfer function. The increase at +20 dB/decade suggests a zero, and the decrease at -40 dB/decade suggests two poles at higher frequencies. The challenge is to determine the mathematical transfer function representation from this information.
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