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 620: 14

Answer

0.499 N.

Work Step by Step

As the loop is pulled from the field, a motional emf occurs, given by equation 21–3, $$\epsilon = B\mathcal{l}v = (0.550T)(0.350m)(3.10m/s)=0.59675V$$ The induced current is clockwise, to make more magnetic field lines into the page, replacing those that are lost as the loop withdraws from the field. $$I=\frac{\epsilon}{R}=\frac{0.59675V}{0.230\Omega}=2.59457 A$$ By the right hand rule, there is a net magnetic force to the left, $I\mathcal{l}B$. The external force to the right is equal and opposite. $$F= I\mathcal{l}B =(2.59457A)(0.350m)(0.550T)=0.499N$$
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