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

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Chapter2: Second-order Linear Odes
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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
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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