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: 9

Answer

$-2.025 Nm^{2}/C$

Work Step by Step

Electric flux $\phi$ through any surface is given as: $ \phi= E.A=EAcos\theta$ Here, $\theta=90^{\circ}+30^{\circ}=120^{\circ}$ $E=180 N/C$, $A= 0.15\times 0.15m^{2}=0.0225m^{2}$ Hence, $\phi=180 \times0.0225\times cos 120^{\circ}$$=-2.025 Nm^{2}/C$ The negative sign shows that it is travelling into the surface.
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