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 29 - Potential and Field - Exercises and Problems - Page 865: 66

Answer

$22\rm \;\mu F$

Work Step by Step

We know that the power is given by $$P_w=\dfrac{\Delta E}{t}$$ where $\Delta E$ is the energy used during this process of discharging which is the energy stored in the capacitor. Hence, $$P_w=\dfrac{U}{t}$$ where $U=\dfrac{1}{2}C(\Delta V_C)^2$ $$P_w=\dfrac{C(\Delta V_C)^2}{2t}$$ Hence, $$C=\dfrac{2tP_w}{(\Delta V_C)^2}$$ Plug the known; $$C=\dfrac{2(10\times 10^{-6})(10)}{(3)^2}$$ $$C=2.22\times 10^{-5}\;\rm F=\color{red}{\bf 22.2}\;\mu F$$
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.