Calculate the values of L and C in part A. Make it clear how you found them
Calculate the values of L and C in part A. Make it clear how you found them
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36fb7f7-6381-4add-b52b-9085dfd27844%2Fad71698a-d06d-4368-8cfc-e7b5b09487ed%2F5x6pih_processed.jpeg&w=3840&q=75)
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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