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 1000: 63

Answer

$3\;\rm s$

Work Step by Step

We know that the induced emf is given by $$\varepsilon=\left| \dfrac{d\Phi}{dt} \right|$$ where $ \Phi =\vec A\cdot \vec B =AB\cos90^\circ=AB$. $$\varepsilon=\left| \dfrac{d}{dt}AB \right|$$ $$\varepsilon=A\left| \dfrac{dB}{dt} \right|$$ Hence, $$\varepsilon=A\left| \dfrac{\Delta B}{\Delta t} \right|$$ Solving for $\Delta t$; $$\Delta t = \dfrac{A\left| \Delta B\right|}{\varepsilon} $$ Plug the known; $$\Delta t = \dfrac{(0.06)\left| 0-5\right|}{0.1} $$ $$\Delta t = \color{red}{\bf 3.0}\;\rm s $$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.