Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 30 - Induction and Inductance - Problems - Page 900: 67a

Answer

$u=34.2\frac{J}{m^3}$

Work Step by Step

We know that; $B=\frac{\mu_{\circ}Ni}{l}$ We plug in the known values to obtain: $B=\frac{4\times3.1416\times 10^{-7}(950)(6.60)}{0.85}=0.0092696$ We know that the energy density is given as: $u=\frac{B^2}{2\mu_{\circ}}$ We substitute the value of $B$ found above and the value of $\mu_{\circ}$ and solve: $u=\frac{(0.0092696)^2}{2(4\times3.1416\times 10^{-7})}=34.189=34.2\frac{J}{m^3}$
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