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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
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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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.
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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