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H(jw)= Sketch the magnitude characteristic of the Bode plot for the transfer function above. Indicate the break frequency of each term and the slopes of the Bode plot. Magnitude (dB) 40 20 0 -20 -40 -60 10-1 10⁰ 1000 (jw+10) (jw+50) (Sw+200) Bode Plot 10¹ 10² 103

H(jw)= Sketch the magnitude characteristic of the Bode plot for the transfer function above. Indicate the break frequency of each term and the slopes of the Bode plot. Magnitude (dB) 40 20 0 -20 -40 -60 10-1 10⁰ 1000 (jw+10) (jw+50) (Sw+200) Bode Plot 10¹ 10² 103

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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The text reads: \[ H(j\omega) = \frac{1000(j\omega + 10)}{(j\omega + 50)(j\omega + 200)} \] Under the equation, it states: "Sketch the magnitude characteristic of the Bode plot for the transfer function above. Indicate the break frequency of each term and the slopes of the Bode plot." ### Description of the Graph **Title: Bode Plot** - **Y-axis (Magnitude in dB):** Ranges from -60 to 40 dB with increments of 20 dB. - **X-axis (Frequency \(\omega\) in rad/s):** Logarithmic scale ranging from \(10^{-1}\) to \(10^3\). - The plot is currently empty, with grid lines for easier plotting. **Explanation:** - The transfer function \( H(j\omega) \) can be broken down into components to determine the break frequencies and the slope changes. - **Zero** at \(\omega = 10\). - **Poles** at \(\omega = 50\) and \(\omega = 200\). - The task involves determining how these features influence the magnitude plot in terms of dB and the respective slope changes at each break frequency.
Transcribed Image Text:The text reads: \[ H(j\omega) = \frac{1000(j\omega + 10)}{(j\omega + 50)(j\omega + 200)} \] Under the equation, it states: "Sketch the magnitude characteristic of the Bode plot for the transfer function above. Indicate the break frequency of each term and the slopes of the Bode plot." ### Description of the Graph **Title: Bode Plot** - **Y-axis (Magnitude in dB):** Ranges from -60 to 40 dB with increments of 20 dB. - **X-axis (Frequency \(\omega\) in rad/s):** Logarithmic scale ranging from \(10^{-1}\) to \(10^3\). - The plot is currently empty, with grid lines for easier plotting. **Explanation:** - The transfer function \( H(j\omega) \) can be broken down into components to determine the break frequencies and the slope changes. - **Zero** at \(\omega = 10\). - **Poles** at \(\omega = 50\) and \(\omega = 200\). - The task involves determining how these features influence the magnitude plot in terms of dB and the respective slope changes at each break frequency.
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