Suppose you have a voltage source that generates the following input signal: 1 m 2π 4π σπ This signal can be decomposed into an infinite series of sinusoids as: 1 1 Π 1 1 1 V₁(t) ==|=|==|=|| sin(t) + ½ sin(2t) + ½ sin(3t) + ½ sin(4t) + ... - 2 - - 2 4 Design a circuit with a single R, L, and C that has a transfer function |H(w)| V = that is resonant Vo with the third harmonic term [sin(3t)] with a gain of 10 and passes frequencies below this with gain equal to 1. 1. Draw the circuit and determine the transfer function. Sketch the transfer function on a Bode plot. Make sure to show your work and label the important parameters on the Bode plot. 2. For R 1, state the values of L and C that you've chosen, and explain your - reasoning/show your work.
Suppose you have a voltage source that generates the following input signal: 1 m 2π 4π σπ This signal can be decomposed into an infinite series of sinusoids as: 1 1 Π 1 1 1 V₁(t) ==|=|==|=|| sin(t) + ½ sin(2t) + ½ sin(3t) + ½ sin(4t) + ... - 2 - - 2 4 Design a circuit with a single R, L, and C that has a transfer function |H(w)| V = that is resonant Vo with the third harmonic term [sin(3t)] with a gain of 10 and passes frequencies below this with gain equal to 1. 1. Draw the circuit and determine the transfer function. Sketch the transfer function on a Bode plot. Make sure to show your work and label the important parameters on the Bode plot. 2. For R 1, state the values of L and C that you've chosen, and explain your - reasoning/show your work.
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...
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Question
![Suppose you have a voltage source that generates the following input signal:
1
m
2π
4π
σπ
This signal can be decomposed into an infinite series of sinusoids as:
1
1
Π
1
1
1
V₁(t) ==|=|==|=|| sin(t) + ½ sin(2t) + ½ sin(3t) + ½ sin(4t) + ...
-
2
-
-
2
4
Design a circuit with a single R, L, and C that has a transfer function |H(w)|
V
= that is resonant
Vo
with the third harmonic term [sin(3t)] with a gain of 10 and passes frequencies below this with
gain equal to 1.
1. Draw the circuit and determine the transfer function. Sketch the transfer function on a Bode
plot. Make sure to show your work and label the important parameters on the Bode plot.
2. For R 1, state the values of L and C that you've chosen, and explain your
-
reasoning/show your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feaf923b1-621b-4242-8f85-61b87d833819%2F112c598e-d95c-4882-9804-4c03dd6cdc24%2Fz8xxbz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose you have a voltage source that generates the following input signal:
1
m
2π
4π
σπ
This signal can be decomposed into an infinite series of sinusoids as:
1
1
Π
1
1
1
V₁(t) ==|=|==|=|| sin(t) + ½ sin(2t) + ½ sin(3t) + ½ sin(4t) + ...
-
2
-
-
2
4
Design a circuit with a single R, L, and C that has a transfer function |H(w)|
V
= that is resonant
Vo
with the third harmonic term [sin(3t)] with a gain of 10 and passes frequencies below this with
gain equal to 1.
1. Draw the circuit and determine the transfer function. Sketch the transfer function on a Bode
plot. Make sure to show your work and label the important parameters on the Bode plot.
2. For R 1, state the values of L and C that you've chosen, and explain your
-
reasoning/show your work.
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