University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 29 - Electromagnetic Induction - Problems - Exercises - Page 989: 29.73

Answer

Choice C.

Work Step by Step

The magnitude of the induced emf is given by Faraday’s Law. $$\epsilon=\frac{d\Phi_B}{dt}= A\frac{dB_{av}}{dt}$$ The latter quantity is the slope of a B-versus t graph. The induced emf, and thus the current, is greatest when the slope of a B vs. t is steepest. The graph in the introduction rises to 4 T in about 0.15 ms. In Figure P29.73, both graph A and graph B rise to 4 T in less than 0.1 ms. They have steeper slopes.
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