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 497: 28

Answer

1.3 eV is lost.

Work Step by Step

The potential energy of the two equal but opposite charges is $PE=k\frac{(e)(-e)}{r}$. Calculate the change in PE as final PE minus initial PE. $$\Delta PE=-ke^2(\frac{1}{r_f}-\frac{1}{r_i})$$ $$\Delta PE=-(8.988\times10^9)(1.60\times10^{-19})^2(\frac{1}{0.100\times10^{-9}}-\frac{1}{0.110\times10^{-9}})\frac{1eV}{1.60\times10^{-19}J}$$ $$\Delta PE=-1.31eV$$ The amount lost is 1.3 eV.
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