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)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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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