For the low-pass active filter shown below, the transfer function is expressed as: Zc ZR + Zc Vo Vị where: rad. w = angular frequency in [ 106 ZR = 2000 , Zc jw %3D ZR Vo Vị o Zc 4-A) Show that the can be written as: Vo 500 + jw 500 Vị 4-B) What should be the value of w so that the magnitude of 2 is ? 10 Vi 4-C) With w = 1250 rad/s, and V; = 9e1.8 – j10 volts, evaluate the magnitude and phase of V. (Hint: evaluate Vi in polar form, and V; in polar form, then V, = x V; ) Vi

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Activity 4:
For the low-pass active filter shown below, the transfer function is expressed as:
V.
Zc
V: ZR + Zc
where:
106
Zc
jw
_rad
w = angular frequency in []
ZR = 2000
ZR
Vị o w
Vo
Zc
Vo
4-A) Show that the
can be written as:
Vi
V.
500
Vị
500 + jw
Vo
4-B) What should be the value of w so that the magnitude of
is ?
Vi
4-C)
With w = 1250 rad/s, and V; = 9ei1.8 – j10 volts, evaluate the magnitude and phase of V,
Vo
Vo
(Hint: evaluate
in polar form, and V; in polar form, then V, = 2x V; )
Vị
Vi
Transcribed Image Text:Activity 4: For the low-pass active filter shown below, the transfer function is expressed as: V. Zc V: ZR + Zc where: 106 Zc jw _rad w = angular frequency in [] ZR = 2000 ZR Vị o w Vo Zc Vo 4-A) Show that the can be written as: Vi V. 500 Vị 500 + jw Vo 4-B) What should be the value of w so that the magnitude of is ? Vi 4-C) With w = 1250 rad/s, and V; = 9ei1.8 – j10 volts, evaluate the magnitude and phase of V, Vo Vo (Hint: evaluate in polar form, and V; in polar form, then V, = 2x V; ) Vị Vi
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