Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 17 - Electric Potential - Problems - Page 496: 21

Answer

a. $5.8\times10^5V$ b. $9.2\times10^{-14}J$

Work Step by Step

a. Use equation 17–5 to find the potential of a point charge. $$V=\frac{1}{4\pi\epsilon_o}\frac{Q}{r}$$ $$V=(8.99\times10^9\frac{N\cdot m^2}{C^2})\frac{1.60\times10^{-19}C}{2.5\times10^{-15}m}$$ $$=5.8\times10^5V$$ b. Conceptual Example 17.7 derives the potential energy of a pair of charges. $$PE=\frac{1}{4\pi\epsilon_o}\frac{Q_1Q_2}{r}$$ $$=(8.99\times10^9\frac{N\cdot m^2}{C^2})\frac{(1.60\times10^{-19}C)^2}{2.5\times10^{-15}m}$$ $$=9.2\times10^{-14}J$$ This is about 0.58MeV.
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