Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 23 - Magnetic Flux and Faraday's Law of Induction - Problems and Conceptual Exercises - Page 834: 91

Answer

(a) $66\mu s$ (b) $43\mu J$

Work Step by Step

We know that $I=(\frac{\epsilon}{R})(1-e^{\frac{-tR}{L}})$ This can be rearranged as: $t=-(\frac{L}{R})(1-\frac{IR}{\epsilon})$ We plug in the known values to obtain: $t=-(\frac{29}{110})(1-\frac{12\times 10^{-3}(110)}{6.0})$ $t=66\mu s$ (b) We know that $U=(\frac{1}{2})LI^2$ $U=(\frac{1}{2})L(\frac{\epsilon}{R})^2$ We plug in the known values to obtain: $U=(\frac{1}{2})(29\times 10^{-3})(\frac{6.0}{110})^2$ $U=43\mu J$
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