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 24 - Gauss's Law - Exercises and Problems: 7

Answer

$$E_o\gt E_i$$This means that the missing vector must be greater than $5 N/C$ and must be pointing inward.

Work Step by Step

The way that we're going to solve this is by looking at the electric field that's coming into the cube, and going out of the cube. We will add up all of the quantities that are going in, and compare that with the sum of the quantities that are exiting the cube. $$E_i=15+20=35N/C$$ $$E_o=10+20+10=40N/C$$ Thus, $$E_o\gt E_i$$ This means that the missing vector must be greater than $5 N/C$ and must be pointing inward.
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