Calculate the values of L and C in part A. Make it clear how you found them

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Calculate the values of L and C in part A. Make it clear how you found them
a) Design a passive RLC Band-reject filter that will reject a 200 Hz sinusoid while passing other
frequencies. Calculate the values of L and C considering R = 150 22 and BW= 100 Hz.
b) Calculate Q and fo
c) Verify your design using Matlab to plot the frequency response of the designed filter. Plot
magnitude in dBs and the phase shift in degrees.
c) In your Matlab plot indicate the maximum gain, and the cutoff frequencies fi and f2.
d) From your phase plot, what are the phase angles at fi and f2
R
Vs/6°
Zc
=
Zt
f₁= 200- 100 = 150 Hz
f2= 200 + 100 = 250 Hz
fo= 200 Hz =>
BW= R;
Wb = √==;=> C = 2,64 MF
H(w)= Voo
Vo
Zeg.
R+Zeg
⇒>>
Wo= 1256 rad/s
L = 0.24 H
H(w) = =W³²LC +1
(1-³LC) + jwRC
W₁ = 942,5 rad/s
W₂ = 1570.8 rad/s
Zeq=² / + jul = =W³LC +
jwe
jwc
Transcribed Image Text:a) Design a passive RLC Band-reject filter that will reject a 200 Hz sinusoid while passing other frequencies. Calculate the values of L and C considering R = 150 22 and BW= 100 Hz. b) Calculate Q and fo c) Verify your design using Matlab to plot the frequency response of the designed filter. Plot magnitude in dBs and the phase shift in degrees. c) In your Matlab plot indicate the maximum gain, and the cutoff frequencies fi and f2. d) From your phase plot, what are the phase angles at fi and f2 R Vs/6° Zc = Zt f₁= 200- 100 = 150 Hz f2= 200 + 100 = 250 Hz fo= 200 Hz => BW= R; Wb = √==;=> C = 2,64 MF H(w)= Voo Vo Zeg. R+Zeg ⇒>> Wo= 1256 rad/s L = 0.24 H H(w) = =W³²LC +1 (1-³LC) + jwRC W₁ = 942,5 rad/s W₂ = 1570.8 rad/s Zeq=² / + jul = =W³LC + jwe jwc
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