Activity 4: For the low-pass active filter shown below, the transfer function is expressed as: V. _ Zc V ZR + Zc where: rad w = angular frequency in [ 106 ZR = 2000 , Zc jw ZR Vo 4-A) Show that the can be written as: V. 500 V- 500 + jw 4-B) What should be the value of w so that the magnitude of 4 is 4-C) With w = 1250 rad/s, and V = 9e/1.8 – j10 volts, evaluate the magnitude and phase of V, (Hint: evaluate in polar form, and V; in polar form, then V, = x Vị )

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Activity 4:
For the low-pass active filter shown below, the transfer function is expressed as:
V.
Zc
V ZR + Z.
where:
rad
w = angular frequency in [
106
ZR = 2000
jw
ZR
Vo
Vị o
4-A) Show that the
can be written as:
V.
500
V 500 + jw
4-B) What should be the value of w so that the magnitude of
4-C)
With w = 1250 rad/s, and V = 9e/1.8 – j10 volts, evaluate the magnitude and phase of V.
(Hint: evaluate
Vo
in polar form, and Vị in polar form, then V, = 2 x Vị )
VI
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 ?
Transcribed Image Text:Activity 4: For the low-pass active filter shown below, the transfer function is expressed as: V. Zc V ZR + Z. where: rad w = angular frequency in [ 106 ZR = 2000 jw ZR Vo Vị o 4-A) Show that the can be written as: V. 500 V 500 + jw 4-B) What should be the value of w so that the magnitude of 4-C) With w = 1250 rad/s, and V = 9e/1.8 – j10 volts, evaluate the magnitude and phase of V. (Hint: evaluate Vo in polar form, and Vị in polar form, then V, = 2 x Vị ) VI 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 ?
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