w = angular frequency in | ZR = 2000 , Zc ju ZR V. Zc

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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For the low-pass active filter shown below, the transfer function is expressed as:
V.
V ZR + Zc
Zc
where:
106
= 2000 , Zc
jw
rad
w = angular frequency in [
ZR
ZR
Vi o
V.
4-A) Show that the e can be written as:
V.
500
V 500 + jw
4-B) What should be the value of w so that the magnitude of
V10
?
4-C) With w = 1250 rad/s, and Vị = 9el1.8 – j10 volts, evaluate the magnitude and phase of V.
Vo
(Hint: evaluate
in polar form, and Vị in polar form, then V, = x Vị )
4
4-D) When 4 modules of this filter are cascaded, the total transfer function will be (. Use de
Moivre's Theorem to find the expression of the total transfer function in polar form. Then,
find determine the value of w so that the magnitude of the total transfer function is
V10
?
Transcribed Image Text:For the low-pass active filter shown below, the transfer function is expressed as: V. V ZR + Zc Zc where: 106 = 2000 , Zc jw rad w = angular frequency in [ ZR ZR Vi o V. 4-A) Show that the e can be written as: V. 500 V 500 + jw 4-B) What should be the value of w so that the magnitude of V10 ? 4-C) With w = 1250 rad/s, and Vị = 9el1.8 – j10 volts, evaluate the magnitude and phase of V. Vo (Hint: evaluate in polar form, and Vị in polar form, then V, = x Vị ) 4 4-D) When 4 modules of this filter are cascaded, the total transfer function will be (. Use de Moivre's Theorem to find the expression of the total transfer function in polar form. Then, find determine the value of w so that the magnitude of the total transfer function is V10 ?
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