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: 26

Answer

See the detailed answer below.

Work Step by Step

We know that the electric field at the surface of a charged conductor is given by $$E=\dfrac{\eta}{\epsilon_0}\tag{perpendicular to surface}$$ $\bullet$ At point 1, at the surface of this charged conductor, the electric field is $$E_1=\dfrac{\eta}{\epsilon_0} =\dfrac{\eta q_e}{\epsilon_0}$$ where $q_e$ is the charge of one electron. Plugging the known, $$E_1=\dfrac{(5\times 10^{10})(-1.6\times 10^{-19})}{(8.85\times 10^{-12})} $$ $$E_1=\color{red}{\bf -904}\;\rm N/C$$ $\bullet\bullet$ At point 2, at the point which is inside the conductor, the electric field is zero. $$E_2=\color{red}{\bf 0}\;\rm N/C$$ $\bullet\bullet\bullet$ At point 3, at the point which is inside the hollow of the conductor, the electric field is zero since the excess charge inside the conductor always resides on the outer surface. Hence, the inner surface has no charge. Thus, $$E_3=\color{red}{\bf 0}\;\rm N/C$$
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.