Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 33 - Electromagnetic Induction - Exercises and Problems - Page 997: 18

Answer

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Work Step by Step

Let's assume that the current moves from the left to the right through the inductor. We know that the induced potential difference is given by $$\Delta V=-L\dfrac{dI}{dt}$$ Hence, $$\Delta V=-L\dfrac{I_f-I_i}{\Delta t}$$ Plug the known; $$\Delta V=-(10\times 10^{-3})\dfrac{(50-150)\times 10^{-3}}{10\times 10^{-6}}$$ $$\Delta V=\color{red}{\bf 100}\;\rm V$$ The decrease of the current decreases the magnetic flux of the inductor. According to Lenz's law, the induced current will oppose this decrease of the magnetic flux inside the loop. This means that the induced current will be in the same direction as the original one. Hence, the induced potential difference $\bf increases$ along the direction of the original current.
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