Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 26 - Potential and Field - Conceptual Questions - Page 736: 4

Answer

$E_1 = -10~V/m$ $E_2 = -10~V/m$

Work Step by Step

We can see that the electric potential increases by 10 V for each 1 meter increase in position. This is a graph we would see with a uniform electric field. We can find the electric field at all points on the graph: $E = -\frac{\Delta V}{\Delta x}$ $E = -\frac{40~V}{4~m}$ $E = -10~V/m$ Therefore, $E_1 = -10~V/m$ and $E_2 = -10~V/m$ That is, the uniform electric field has a magnitude of $10~V/m$ and it is directed in the -x direction.
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