Fundamentals of Electrical Engineering

Published by McGraw-Hill Education
ISBN 10: 0073380377
ISBN 13: 978-0-07338-037-7

Chapter 4 - AC Network Analysis - Part 1 Circuits - Homework Problems - Page 167: 4.4

Answer

100 J

Work Step by Step

Start by developing an equation for energy in terms of integrals to deal with the piecewise function $W = \int {P*dt} = \int {i*v*dt}= \int L*{i*\frac{di}{dt} *dt}$ Use this equation, take derivatives of i, and break the integral up to match the piecewise $W =2* \int^0_{-infinity} {0*dt} +2* \int^{10}_{0} {t*dt} + 2* \int^{infinity}_{10} {0*dt}$ $W = t^2 |^{10}_0$ $W = 100 J$
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