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For the bode plot below, what is the transfer function that represents this plot? H (dB) 0 0.1 10 +20 dB/decade -40 dB/decade @ (rad/s)

For the bode plot below, what is the transfer function that represents this plot? H (dB) 0 0.1 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
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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**Title: Understanding Bode Plot and Transfer Function** **Figure Explanation:** The image represents a Bode plot, which is a graphical way to depict a system's frequency response. The plot is divided into two axes: - **Vertical Axis (H in dB):** Represents the magnitude of the transfer function in decibels (dB). - **Horizontal Axis (ω in rad/s):** Represents the frequency in radians per second. **Plot Description:** 1. **Frequency Range:** - The plot covers frequencies from 0.1 rad/s to beyond 10 rad/s. 2. **Slope Analysis:** - From 0.1 rad/s to 1 rad/s, the plot shows an upward slope of +20 dB/decade. This indicates that for every tenfold increase in frequency, the magnitude of the function increases by 20 dB. - From 1 rad/s to 10 rad/s, the plot levels off at a constant magnitude, indicating no change in magnitude across this frequency range. - Beyond 10 rad/s, the plot shows a downward slope of -40 dB/decade, meaning for every tenfold increase in frequency, the magnitude decreases by 40 dB. **Question:** The text inquires about the transfer function that represents this specific Bode plot.
Transcribed Image Text:**Title: Understanding Bode Plot and Transfer Function** **Figure Explanation:** The image represents a Bode plot, which is a graphical way to depict a system's frequency response. The plot is divided into two axes: - **Vertical Axis (H in dB):** Represents the magnitude of the transfer function in decibels (dB). - **Horizontal Axis (ω in rad/s):** Represents the frequency in radians per second. **Plot Description:** 1. **Frequency Range:** - The plot covers frequencies from 0.1 rad/s to beyond 10 rad/s. 2. **Slope Analysis:** - From 0.1 rad/s to 1 rad/s, the plot shows an upward slope of +20 dB/decade. This indicates that for every tenfold increase in frequency, the magnitude of the function increases by 20 dB. - From 1 rad/s to 10 rad/s, the plot levels off at a constant magnitude, indicating no change in magnitude across this frequency range. - Beyond 10 rad/s, the plot shows a downward slope of -40 dB/decade, meaning for every tenfold increase in frequency, the magnitude decreases by 40 dB. **Question:** The text inquires about the transfer function that represents this specific Bode plot.
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