Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 18 - Electric Forces and Electric Fields - Problems - Page 508: 3

Answer

(a) So final charge on each object is $-1.6μC$ (b)$10^{13}$ electrons are responsible for final charge on each electron.

Work Step by Step

Charges on identical metallic objects are $q_{1}=+1.6\mu C$ $q_{2}=+6.2\mu C$ $q_{3}=-4.8\mu C$ $q_{4}=-9.4\mu C$ (a) When objects are brought simultaneously into contact, then there will be a net charge $q=q_{1}+q_{2}+q_{3}+q_{4}$ $q=1.6\mu C+6.2\mu C+(-4.8\mu C)+(-9.4\mu C)$ Net charge $q=−6.4μC$ this charge will equally distribute among all so charge on each metallic object will be $q_{1}=q_{2}=q_{3}=q_{4}=\frac{q}{4}=\frac{−6.4μC}{4}=-1.6μC$ So final charge on each object is $-1.6μC$ (b) charge is negative so electrons make up the final charge $-1.6μC =-1.6\times10^{-6}C$ $-1.6\times10^{-19}C$ is equal to $1$ electron $-1C$ is equal to $\frac{1}{1.6\times10^{-19}} $electron $-1.6\times10^{-6}C$ is equal to $\frac{1.6\times10^{-6}}{1.6\times10^{-19}} $electron = $1\times10^{13}$ electrons $10^{13}$ electrons are responsible for final charge on each electron.
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