Physics: Principles with Applications (7th Edition)

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

Chapter 16 - Electric Charge and Electric Field - Problems - Page 469: 7

Answer

3.76 cm

Work Step by Step

Coulomb’s law shows us that the magnitude of the force between charges is inversely proportional to the square of the distance between them. If the force is found to have tripled, i.e., multiplied by a factor of 3, then the separation distance was multiplied by a factor of $\frac{1}{\sqrt3}$. $$d_{new}=\frac{1}{\sqrt3} (6.52\times10^{-2}m)= 3.76\times10^{-2}m $$
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