Electrical Engineering1) For the following RLC circuit• Specify the dynamics for the system (write N coupled differential equations)Express these dynamics in state-space formDetermine the transfer function from Vin to Y2) 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 approximation3) 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?0.1H30l0.01FV2400.02FV3Vin0.2HProblem 1 - 3

Note: We are authorized to answer three subparts at a time since you have not mentioned which part…

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

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Sinusoids And Phasors

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Circuit Theory

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

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i. Briefly discuss the three types of responses in a series RLC circuit. Write down the conditions for the three responses in terms of the neper frequency, a, and undamped natural frequency (or resonant frequency), wo. ii. A series RLC circuit is connected to a voltage source that steps from 0V to 5V at t = 0s. The values ofL and C are 100mH and 0.1uF respectively, while R ranges from 200 Q to 5 k Q. Assume zero initial conditions. a. Write down the expression of the voltage across the capacitor for the three types of responses (for the three different values of R).