Resistance R Capacitance C Inductance L Impressed voltage E(t) Consider the RLC circuit illustrated in the figure above. It is given that L=1 H, R= 100 Ohms, and C= 0.0004 F. The voltage applied to this circuit is E(t) = 50t if 0

Resistance R Capacitance C Inductance L Impressed voltage E(t) Consider the RLC circuit illustrated in the figure above. It is given that L=1 H, R= 100 Ohms, and C= 0.0004 F. The voltage applied to this circuit is E(t) = 50t if 0

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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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

Resistance R Capacitance C
Inductance L
Impressed voltage E(t)
Consider the RLC circuit illustrated in the figure above. It is given that L=1 H, R= 100 Ohms,
and C= 0.0004 F. The voltage applied to this circuit is E (t) = 50t if 0 <t < 1, and E(t) = 0
if t 2 1. Find the expression for the current in the circuit i(t), by using Laplace transform
method and by expressing E(t) using step functions.
F(s)
Note that: L{S, f(t)dt} =

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