1) For the following RLC circuit • Specify the dynamics for the system (write N coupled differential equations) Express these dynamics in state-space form Determine the transfer function from Vin to Y
1) For the following RLC circuit • Specify the dynamics for the system (write N coupled differential equations) Express these dynamics in state-space form Determine the transfer function from Vin to Y
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
Question
![Electrical Engineering
1) For the following RLC circuit
• Specify the dynamics for the system (write N coupled differential equations)
Express these dynamics in state-space form
Determine the transfer function from Vin to Y
2) For the transfer function from Vin to Y
• Determine a Ist or 2nd-order approximation for this trasfer function
• Plot the step response of the actual 5th-order system and its approximation
3) For this circuit.
• What initial condition will the energy in the system decay as slowly as possible?
• What initial condition will the energy in the system decay as fast as possible?
0.1H
30
l
0.01F
V2
40
0.02F
V3
Vin
0.2H
Problem 1 - 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6356f3b-7d91-421c-981c-f1f5ca465445%2F52010425-a032-4ca2-977b-63cca8df8a15%2Faizv16_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Electrical Engineering
1) For the following RLC circuit
• Specify the dynamics for the system (write N coupled differential equations)
Express these dynamics in state-space form
Determine the transfer function from Vin to Y
2) For the transfer function from Vin to Y
• Determine a Ist or 2nd-order approximation for this trasfer function
• Plot the step response of the actual 5th-order system and its approximation
3) For this circuit.
• What initial condition will the energy in the system decay as slowly as possible?
• What initial condition will the energy in the system decay as fast as possible?
0.1H
30
l
0.01F
V2
40
0.02F
V3
Vin
0.2H
Problem 1 - 3
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