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: 11

Answer

$\frac{2500}{\sqrt 3}N/C$

Work Step by Step

Electric flux $\phi$ through any surface is given as: $ \phi= E.A=EAcos\theta$ Here, $\theta=30^{\circ}$, $\phi=25 Nm^{2}/C$ , $A= 2\times 10^{-2}m^{2}$ Thus, $25=E \times (2\times 10^{-2})\times cos 30^{\circ}$ $E =\frac{25}{(2\times 10^{-2})\times cos 30^{\circ}}=\frac{25}{(2\times 10^{-2})\times (\sqrt 3/2)}$ Hence, $E=\frac{2500}{\sqrt 3}N/C$.
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