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 622: 47

Answer

23 J

Work Step by Step

The magnetic energy density is given by equation 21–10. $$u=\frac{Energy}{Volume}=\frac{1}{2}\frac{B^2}{\mu_o}$$ Solve for the stored energy. $$Energy=(Volume) \frac{1}{2}\frac{B^2}{\mu_o}$$ $$=(\pi (0.010m)^2(0.36m)) \frac{1}{2}\frac{(0.72T)^2}{4 \pi \times10^{-7}(T \cdot m)/A)}$$ $$=23J$$
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