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: 10

Answer

The magnitude of the electric field strength is $20,000~V/m$ and it points at an angle of $45^{\circ}$ below the -x axis.

Work Step by Step

The electric field points from positions of higher potential to positions of lower potential. Therefore, the electric field points at an angle of $45^{\circ}$ below the -x axis. We can find the electric field strength: $E = -\frac{\Delta V}{\Delta x}$ $E = -\frac{400~V}{0.020~m}$ $E = -20,000~V/m$ The magnitude of the electric field strength is $20,000~V/m$ and it points at an angle of $45^{\circ}$ below the -x axis.
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