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 987: 29.65

Answer

5.0 s.

Work Step by Step

$$i_D=\epsilon\frac{d\Phi_E}{dt}$$ $$i_D=(3.5\times10^{-11}F/m)(24.0\times10^3 V \cdot m/s^3)t^2$$ Solve for t. $$t =\sqrt{\frac{i_D}{(3.5\times10^{-11}F/m)(24.0\times10^3 V \cdot m/s^3)}} $$ Set $i_D=21\times10^{-6}A$. $$t =\sqrt{\frac{21\times10^{-6}A }{(3.5\times10^{-11}F/m)(24.0\times10^3 V \cdot m/s^3)}}=5.0s $$
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