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The following network shows a passive high-pass filter Q2) Vi С1 TH 0000 J (a) Show that the transfer function of this network is H(s): = V₁(s) = $² v₁(s) s² + 25ws + w² where: 1 1 s = jw, wo and 2500 = √LC C₁R www R Vo (b) Hence, design a high-pass filter with a cut-off frequency of 5 kHz for a load impedance of R = 82. You may assume a Butterworth response, i.e. = 0.707. (c) Sketch the Bode plot of your response, showing the phase and magnitude of the transfer function.

The following network shows a passive high-pass filter Q2) Vi С1 TH 0000 J (a) Show that the transfer function of this network is H(s): = V₁(s) = $² v₁(s) s² + 25ws + w² where: 1 1 s = jw, wo and 2500 = √LC C₁R www R Vo (b) Hence, design a high-pass filter with a cut-off frequency of 5 kHz for a load impedance of R = 82. You may assume a Butterworth response, i.e. = 0.707. (c) Sketch the Bode plot of your response, showing the phase and magnitude of the transfer function.

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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Q2) The following network shows a passive high-pass filter С1 Vi eeee L₁ (a) Show that the transfer function of this network is V₁(s) H(s) = vi (s) s² + 25wQs + 0² where: S= = jo, wo = 1 and 2500 LC C₁R www R Vo (b) Hence, design a high-pass filter with a cut-off frequency of 5 kHz for a load impedance of R = 8 2. You may assume a Butterworth response, i.e. ( = 0.707. (c) Sketch the Bode plot of your response, showing the phase and magnitude of the transfer function.
Transcribed Image Text:Q2) The following network shows a passive high-pass filter С1 Vi eeee L₁ (a) Show that the transfer function of this network is V₁(s) H(s) = vi (s) s² + 25wQs + 0² where: S= = jo, wo = 1 and 2500 LC C₁R www R Vo (b) Hence, design a high-pass filter with a cut-off frequency of 5 kHz for a load impedance of R = 8 2. You may assume a Butterworth response, i.e. ( = 0.707. (c) Sketch the Bode plot of your response, showing the phase and magnitude of the transfer function.
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