For the low-pass active filter shown below, the transfer function is expressed as: Vo Zc Vị Zr + Zc where: 106 Zc jw rad w = angular frequency in | ZR = 2000 ZR Vo V¡ o 4-A) Show that the can be written as: Vi V. V 500 + jw 500 4-B) What should be the value of w so that the magnitude of 2 is ? Vi 4-C) With w = 1250 rad/s, and V¡ = 9e1.8 – j10 volts, evaluate the magnitude and phase of V, %3D (Hint: evaluate in polar form, and V; in polar form, then V, = 2x Vi) Vo Vị
For the low-pass active filter shown below, the transfer function is expressed as: Vo Zc Vị Zr + Zc where: 106 Zc jw rad w = angular frequency in | ZR = 2000 ZR Vo V¡ o 4-A) Show that the can be written as: Vi V. V 500 + jw 500 4-B) What should be the value of w so that the magnitude of 2 is ? Vi 4-C) With w = 1250 rad/s, and V¡ = 9e1.8 – j10 volts, evaluate the magnitude and phase of V, %3D (Hint: evaluate in polar form, and V; in polar form, then V, = 2x Vi) Vo Vị
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![For the low-pass active filter shown below, the transfer function is expressed as:
Vo
Zc
Vị ZR + Zc
where:
_rad
w = angular frequency in [-
106
ZR = 2000 ,
Zc
jw
%3D
ZR
Vo
Vị o
Zc
4-A) Show that the
Vo
can be written as:
V.
500
Vi
500 + jw
4-B) What should be the value of w so that the magnitude of 2 is ?
Vị
4-C)
With w = 1250 rad/s, and V; = 9e]1.8 – j10 volts, evaluate the magnitude and phase of V.
Vo
in polar form, and V; in polar form, then V,
Vị
Vo
(Hint: evaluate
= × V; )
Vi](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc82a7fec-e005-4f8b-9f6a-e4aedca33111%2F6fdb05e7-2437-460f-bfe2-4197d7412ab8%2Ftmbvhx_processed.png&w=3840&q=75)
Transcribed Image Text:For the low-pass active filter shown below, the transfer function is expressed as:
Vo
Zc
Vị ZR + Zc
where:
_rad
w = angular frequency in [-
106
ZR = 2000 ,
Zc
jw
%3D
ZR
Vo
Vị o
Zc
4-A) Show that the
Vo
can be written as:
V.
500
Vi
500 + jw
4-B) What should be the value of w so that the magnitude of 2 is ?
Vị
4-C)
With w = 1250 rad/s, and V; = 9e]1.8 – j10 volts, evaluate the magnitude and phase of V.
Vo
in polar form, and V; in polar form, then V,
Vị
Vo
(Hint: evaluate
= × V; )
Vi
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