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 862: 3

Answer

$-200\;\rm V$

Work Step by Step

We know that $$\Delta V=V_f-V_i=-\int_i^fEdx$$ where $\int_i^fEdx$ is the area under the $E$ versus $x$ xurve. $$\Delta V=-\text{Area}$$ As we see in the given graph, the area from $1$ m to $3$ m is a right triangle. $$\Delta V=-\frac{1}{2}(3-1)(200-0)$$ $$\Delta V=\color{red}{\bf -200}\;\rm V$$
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