Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 22 - Electric Fields - Questions - Page 651: 3f

Answer

The direction of the net electric field at P is that of the adding components.

Work Step by Step

We can find write the general equation for the magnitude of an electric field: $E = \frac{\vert q \vert}{4\pi ~\epsilon_0~r^2}$ Note that a magnetic field points toward a negative charge. Since each charge is $-q$, which is a negative charge, each electric field is directed toward the charge producing it. In part (d), we found that the x components of these two electric field vectors cancel. In part (e), we found that the y components of these two electric field vectors add. The direction of the net electric field at P is that of the adding components. (Note that the canceling components cancel out with each other by definition.)
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