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 998: 27

Answer

${\bf 3.5\times 10^{-4}}\;\rm Wb$

Work Step by Step

As we see from the given figure, the loop is now divided into two surfaces, the top surface (1) which is a rectangle, and the left surface (2) which is an identical rectangle as well. Hence, the net flux through the whole loop is given by $$\Phi_{net}=\Phi_{1}+\Phi_{2}$$ where $\Phi=AB\cos\theta$ $$\Phi_{net}=A_1B\cos45^\circ+A_2B\cos45^\circ$$ where $A_1=A_2=A$ $$\Phi_{net}=2A B\cos45^\circ$$ Plug the known; $$\Phi_{net}=2(0.05\times 0.10)(0.05)\cos45^\circ$$ $$\Phi_{\rm net}=\color{red}{\bf 3.5\times 10^{-4}}\;\rm Wb$$
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