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 - Problems - Page 656: 49b

Answer

The direction of the force is $~~-11.3^{\circ}$

Work Step by Step

We can find the electrostatic force in unit-vector notation: $F = q~E$ $F = (8.00\times 10^{-5}~C)~(3000~\hat{i} - 600~\hat{j})~N/C$ $F = (0.240~\hat{i} - 0.048~\hat{j})~N$ We can find the direction of the force as an angle $\theta$ below the positive x axis: $tan~\theta = \frac{0.048}{0.240}$ $\theta = tan^{-1}~(\frac{0.048}{0.240})$ $\theta = 11.3^{\circ}$ The direction of the force is $~~-11.3^{\circ}$.
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