University Physics with Modern Physics (14th Edition)

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

Chapter 30 - Inductance - Problems - Exercises - Page 1014: 30.28


See explanation.

Work Step by Step

Note that at all times, $\epsilon=v_{ab}+v_{bc}$ by the loop rule. Use the relation $i=\frac{\epsilon}{R}(1-e^{-(R/L)t})$. a. At t=0, the current $i=0$. $v_{ab}=0V$ and $v_{bc}=60V$. b. As t approaches infinity, the current $i$ approaches $ \frac{\epsilon}{R}$ and $di/dt$ approaches zero. $v_{ab}=60V$ and $v_{bc}=0V$. c. When the current $i=0.150A$, $v_{ab}=iR=36.0V$ and $v_{bc}=60.0V-36.0V=24.0V$.
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