1. An RLC circuit consists of a resistor, inductor, and a capacitor in series alongwith a battery as their components. Expressed from total energy, we see thetotal charge as determined by the differential equationdd²qL+ Rdt2%3DdtCShow that from the general solution for a harmonic oscillator under a dampedoscillation with the expression that is analogous,d²xdx+b-0,m-+ kxdt2dtgives us the solution of charge asq(t) = Qmaxe"R/2Lcos wat,where the angular frequency of the circuit is271/21Wa =LC2LHint: Start with working through finding a general solution for the harmonicocillator for mechanical energy. Apply it to Electromagnetic energy to find thesolution above. We can find that this type of solution is similar.

Following is the differential equation for the harmonic oscillation-m d2xdt2+bdxdt+kx=0…

1. An RLC circuit consists of a resistor, inductor, and a capacitor in series along with a battery as their components. Expressed from total energy, we see the total charge as determined by the differential equation dd²q dq L dt2 dt

1. An RLC circuit consists of a resistor, inductor, and a capacitor in series along with a battery as their components. Expressed from total energy, we see the total charge as determined by the differential equation dd²q dq L dt2 dt

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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