2) Consider the circuit below, consisting of a capacitor of capacitance C, and an inductor of inductance L. Vin (t) o Vout (t) L a. Is this a high-pass or a low-pass filter? Give a qualitative argument for your answer. b. Derive the transfer function T(w) = Pout u for the circuit. Vin c. Derive the amplitude transfer function |T(@)| for the circuit. d. Plot the amplitude transfer function. e. Give the scaling of the transfer function in the “stop band" of the circuit [i.e., the asymptotic region where T(@) is small]. Express your answer in dB/octave. ll

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please do part D and E

2) Consider the circuit below, consisting of a capacitor of capacitance C, and
an inductor of inductance L.
Vin (t)
o Vout (t)
L
a. Is this a high-pass or a low-pass filter? Give a qualitative argument for
your answer.
b. Derive the transfer function T(w) =
Pout
u for the circuit.
Vin
c. Derive the amplitude transfer function |T(@)| for the circuit.
d. Plot the amplitude transfer function.
e. Give the scaling of the transfer function in the “stop band" of the
circuit [i.e., the asymptotic region where T(@) is small]. Express your
answer in dB/octave.
ll
Transcribed Image Text:2) Consider the circuit below, consisting of a capacitor of capacitance C, and an inductor of inductance L. Vin (t) o Vout (t) L a. Is this a high-pass or a low-pass filter? Give a qualitative argument for your answer. b. Derive the transfer function T(w) = Pout u for the circuit. Vin c. Derive the amplitude transfer function |T(@)| for the circuit. d. Plot the amplitude transfer function. e. Give the scaling of the transfer function in the “stop band" of the circuit [i.e., the asymptotic region where T(@) is small]. Express your answer in dB/octave. ll
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