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 683: 57b

Answer

$2.88\times 10^{4}\ N/C$

Work Step by Step

Gauss law relates the net flux $\phi$ of an electric field through a closed surface (a Gaussian surface) to net charge $q_{enc}$ that is enclosed by that surface. it tells that $\epsilon_{o} \phi = q_{enc}$ $\epsilon_{o}\oint E.dA = q_{enc}$ $\epsilon_{o} E(4\pi r^2) = q$ $E = \frac{1}{4\pi\epsilon_{o}}\frac{q}{r^2}$ The electric field E at R=25 cm is thus: $E = 9\times 10^{9}\frac{(2\times 10^{-7})}{(0.25^2)}$ $E = 2.88\times 10^{4} N/C$
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.