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 29 - Potential and Field - Exercises and Problems - Page 863: 16

Answer

$-20\;\rm V$

Work Step by Step

According to Kirchhoff’s loop law, $$\Delta V_{\rm loop}=\sum_i (\Delta V)_i=0$$ So for our given loop, we know that $$\Delta V_{12}+\Delta V_{23}+\Delta V_{34}+\Delta V_{41}=0$$ Plug the known; $$30+50+\Delta V_{34}-60=0$$ Thus, $$ \Delta V_{34}=\color{red}{\bf-20}\;\rm V$$
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