Fundamentals of Physics Extended (10th Edition)

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

Chapter 23 - Gauss' Law - Problems - Page 684: 73a

Answer

$E = \frac{\rho~r}{3~\epsilon_0}$

Work Step by Step

We can find the charge enclosed within a sphere of radius $r$: $q = \rho~V$ $q = \rho~\frac{4}{3}\pi~r^3$ We can find the electric field at $P$: $\epsilon_0~\Phi = q$ $(\epsilon_0)~(E)~(4\pi~r^2) = \rho~\frac{4}{3}\pi~r^3$ $\epsilon_0~E = \frac{\rho~r}{3}$ $E = \frac{\rho~r}{3~\epsilon_0}$
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.