E (t)= sin 2tR=100ΩL = 4H00000C = 0.01FFigure Q4: RLC circuit+Vo(t) Figure Q4 below shows an RLC circuit with L = 4H, R = 100.2 and C = 0.01F which isinitially at rest, V(0) = 0. A power source of E(t) = sin 2t is applied to the circuit for the first10 seconds.i)Show that the RLC circuit can be modelled byd²vdvLC- +RC+V = E(t)dt²dtü)₁By using Laplace transform, find the output voltage V₂ (1).

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Answered: E (t) sin 2t R = 100Ω L = 4H wwwww C =…

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E (t) sin 2t R = 100Ω L = 4H wwwww C = 0.01F Figure Q4: RLC circuit + Vo(t) -

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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Question

E (t)
= sin 2t
R
=
100Ω
L = 4H
00000
C = 0.01F
Figure Q4: RLC circuit
+
Vo(t)

Figure Q4 below shows an RLC circuit with L = 4H, R = 100.2 and C = 0.01F which is
initially at rest, V(0) = 0. A power source of E(t) = sin 2t is applied to the circuit for the first
10 seconds.
i)
Show that the RLC circuit can be modelled by
d²v
dv
LC- +RC+V = E(t)
dt²
dt
ü)₁
By using Laplace transform, find the output voltage V₂ (1).

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