5. Electrical circuitsExercise 1. Consider an RCL circuit where R = 2, L = C = 1. The the current I(t) is driven by anelectromotive force of 2 sin 3t. The circuit equation for the voltage V(t) across the capacitor isd?vdv+2dt2+ V = 2 sin 3t with V (0) = 4,V'(0) = 0. Describe the subsequent voltage oscillations3dtExercise 2. An RCL circuit contains an aging battery generating E(t) = 10e t/100 volt. Theresistance is 100 ohm, the inductance is 2 henry, and the capacitance is 0.001 farad. If initial chargeand initial current are zero, find the charge q(t) on the capacitor for:t > 0 and sketch its graph. Whendoes the maximum charge occur?%3D

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Answered: Consider an RCL circuit where R = 2, L…

Engineering

Electrical Engineering

Consider an RCL circuit where R = 2, L = C = 1.

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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5. Electrical circuits
Exercise 1. Consider an RCL circuit where R = 2, L = C = 1. The the current I(t) is driven by an
electromotive force of 2 sin 3t. The circuit equation for the voltage V(t) across the capacitor is
d?v
dv
+2
dt2
+ V = 2 sin 3t with V (0) = 4,V'(0) = 0. Describe the subsequent voltage oscillations
3
dt
Exercise 2. An RCL circuit contains an aging battery generating E(t) = 10e t/100 volt. The
resistance is 100 ohm, the inductance is 2 henry, and the capacitance is 0.001 farad. If initial charge
and initial current are zero, find the charge q(t) on the capacitor for:t > 0 and sketch its graph. When
does the maximum charge occur?
%3D

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