Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 27 - Gauss's Law - Exercises and Problems - Page 807: 30

Answer

See the detailed answer below.

Work Step by Step

We can assume that the electric field is uniform over the 5 faces of the given shape. We know that the electric flux through a surface is given by $$\Phi=\vec E\cdot \vec A=EA\cos\theta$$ At side 1, $$\Phi_1= EA_1\cos\theta_1$$ where $\theta_1=180^\circ$ $$\Phi_1= (400)(2\times 4)\cos180^\circ=\color{red}{\bf -3.2}\;\rm kN\cdot m^2/C$$ At side 2, $$\Phi_2= EA_2\cos\theta_2$$ where $\theta_2=\theta_3=90^\circ$ $$\Phi_2= EA_2\cos 90^\circ=\color{red}{\bf 0}\;\rm kN\cdot m^2/C$$ At side 3, $$\Phi_3= EA_3\cos\theta_3$$ where $\theta_2=\theta_3=90^\circ$ $$\Phi_3= EA_3\cos 90^\circ=\color{red}{\bf 0}\;\rm kN\cdot m^2/C$$ At side 4, $$\Phi_4= EA_4\cos\theta_1$$ where $\theta_4=60^\circ$ $$\Phi_4= (400)(4\times 4)\cos60^\circ=\color{red}{\bf 3.2}\;\rm kN\cdot m^2/C$$ At side 5, $$\Phi_5= EA_5\cos\theta_3$$ where $\theta_5 =90^\circ$ $$\Phi_5= EA_5\cos 90^\circ=\color{red}{\bf 0}\;\rm kN\cdot m^2/C$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.