+-A) Show that the can be written as: V. 500 + jw 500 Vi 4-B) What should be the value of w so that the magnitude of 2 is ? 4-C) With w = 1250 rad/s, and V¡ = 9e11.8 – j10 volts, evaluate the magnitude and phase of V, %3D Vo Vo (Hint: evaluate 2 in polar form, and V¡ in polar form, then V, = Vi x V )

Introductory Circuit Analysis (13th Edition)
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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.
Zc
V: ZR + Zc
where:
106
Zc
ja
rad
w = angular frequency in
ZR = 2000
ZR
V.
Vị -
Zc
Vo
can be written as:
Vi
4-A) Show that the
Vo
500
Vị
500 + jw
Vo
What should be the value of w so that the magnitude of
Vi
is ?
4-B)
4-C)
With w = 1250 rad/s, and V; = 9ej1.8 – j10 volts, evaluate the magnitude and phase of V.
Vo
(Hint: evaluate 2 in polar form, and Vị in polar form, then V, = 2x V; )
Vị
4-D) When 4 modules of this filter are cascaded, the total transfer function will be (2) .
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. Zc V: ZR + Zc where: 106 Zc ja rad w = angular frequency in ZR = 2000 ZR V. Vị - Zc Vo can be written as: Vi 4-A) Show that the Vo 500 Vị 500 + jw Vo What should be the value of w so that the magnitude of Vi is ? 4-B) 4-C) With w = 1250 rad/s, and V; = 9ej1.8 – j10 volts, evaluate the magnitude and phase of V. Vo (Hint: evaluate 2 in polar form, and Vị in polar form, then V, = 2x V; ) Vị 4-D) When 4 modules of this filter are cascaded, the total transfer function will be (2) . 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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