Study the circuit shown in the figure (without the load resistor). a) As w 0, the inductor behaves like what circuit component? What value will the output voltage vo have? b) As w 0, the inductor behaves like what circuit component? What value will the output voltage to have? c) Based on parts a) and b), what type of filtering does this circuit exhibit ? d) What is the transfer function of the unloaded filter? e) If R= 330 N and L = 10 mH, what is the cutoff frequency of the filter in rad/s? RL V (8) H(s) = V(8)
Study the circuit shown in the figure (without the load resistor). a) As w 0, the inductor behaves like what circuit component? What value will the output voltage vo have? b) As w 0, the inductor behaves like what circuit component? What value will the output voltage to have? c) Based on parts a) and b), what type of filtering does this circuit exhibit ? d) What is the transfer function of the unloaded filter? e) If R= 330 N and L = 10 mH, what is the cutoff frequency of the filter in rad/s? RL V (8) H(s) = V(8)
Introductory Circuit Analysis (13th Edition)
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![Study the circuit shown in the figure (without the load resistor).
a) As w → 0, the inductor behaves like what circuit component ? What value will the output voltage vo have?
b) As w + 0, the inductor behaves like what circuit component? What value will the output voltage vo have?
c) Based on parts a) and b), what type of filtering does this circuit exhibit ?
d) What is the transfer function of the unloaded filter?
e) If R = 330 N and L = 10 mH, what is the cutoff frequency of the filter in rad/s?
R
V(8)
V(S)
H(s) =
Answers:
a) ZL(W=0) = 0 => the inductor behaves like a short circuit. And Vo - V
b) ZL(w= 00) = 0 => the inductor behaves like an open circuit. And Vo - 0
c) This is a low pass filter
d) H(s) = R
e) we = 33krad/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F519b43af-7a17-4e63-bea0-e098363ea971%2F993133d8-b84b-4128-89e7-5c1ff97e01cc%2F70yrmjp_processed.png&w=3840&q=75)
Transcribed Image Text:Study the circuit shown in the figure (without the load resistor).
a) As w → 0, the inductor behaves like what circuit component ? What value will the output voltage vo have?
b) As w + 0, the inductor behaves like what circuit component? What value will the output voltage vo have?
c) Based on parts a) and b), what type of filtering does this circuit exhibit ?
d) What is the transfer function of the unloaded filter?
e) If R = 330 N and L = 10 mH, what is the cutoff frequency of the filter in rad/s?
R
V(8)
V(S)
H(s) =
Answers:
a) ZL(W=0) = 0 => the inductor behaves like a short circuit. And Vo - V
b) ZL(w= 00) = 0 => the inductor behaves like an open circuit. And Vo - 0
c) This is a low pass filter
d) H(s) = R
e) we = 33krad/s
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