Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 21 - Electromagnetic Induction and Faraday's Law - Problems - Page 621: 22

Answer

a. 99.0 A. b. $1.4\times10^{-2}\;m^2$.

Work Step by Step

a. Find the peak current from the rms current. $$I_{peak}=\sqrt{2}I_{rms}=\sqrt{2}(70.0A)=99.0A$$ b. The area is calculated from equation 21–5 and the peak induced emf. $$V_{peak}=NB\omega A=\sqrt{2}V_{rms}$$ $$A=\frac{\sqrt{2}V_{rms}}{ NB\omega }=\frac{\sqrt{2}(150V)}{ (950)(0.030T)(2 \pi rad/rev)(85rev/s)}\approx 1.4\times10^{-2}\;m^2$$
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