4. Consider the series RLC circuit in Homework 7, Question 2. The component values are R = 1 ohms, inductance = 0.3 henries, and capacitance C = 0.6 farads. Enter w (double-u) for w (omega). x(t) L C (a) Find the frequency response function H(w) Y(w) = X(w) H(w) = (b) Find the positive linear frequency fo = wo in Hz at which |H(w) = 1. This is the resonant frequency or the center frequency of the bandpass filter. fo = (c) Find the two positive frequencies f₁₁ = 1 and (fcı < fœ₂) in Hz, at which |H(w)| = fc2 = These are the half-power frequencies of the bandpass filter. fc₁ = fc₂ = R www y(t)

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
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4. Consider the series RLC circuit in Homework 7,
Question 2. The component values are R = 1 ohms,
inductance = 0.3 henries, and capacitance C = 0.6
farads.
Enter w (double-u) for w (omega).
x(t)
L
C
(a) Find the frequency response function
H(w)
Y(w)
= X(w)
H(w) =
(b) Find the positive linear frequency fo = wo in Hz at
which |H(w)
= 1. This is the resonant frequency or
the center frequency of the bandpass filter.
fo
=
(c) Find the two positive frequencies f₁₁ = 1 and
(fcı < fœ₂) in Hz, at which |H(w)| =
fc2
=
These are the half-power frequencies of the bandpass
filter.
fc₁ =
fc₂ =
R
www
y(t)
Transcribed Image Text:4. Consider the series RLC circuit in Homework 7, Question 2. The component values are R = 1 ohms, inductance = 0.3 henries, and capacitance C = 0.6 farads. Enter w (double-u) for w (omega). x(t) L C (a) Find the frequency response function H(w) Y(w) = X(w) H(w) = (b) Find the positive linear frequency fo = wo in Hz at which |H(w) = 1. This is the resonant frequency or the center frequency of the bandpass filter. fo = (c) Find the two positive frequencies f₁₁ = 1 and (fcı < fœ₂) in Hz, at which |H(w)| = fc2 = These are the half-power frequencies of the bandpass filter. fc₁ = fc₂ = R www y(t)
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