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 30 - Current and Resistance - Exercises and Problems - Page 887: 15

Answer

$2.56\;\rm mA$

Work Step by Step

Since the positive ions move to the right while the negative ions move to the left, the net current is the sum of the two currents of both processes. The direction of the current is in the positive ions direction. Hence, $$I_+=\dfrac{N_+q_+}{t}$$ and $$I_-=-\dfrac{N_-q_-}{t}$$ $$I_{net}=I_++I_-$$ $$I_{net}=\dfrac{N_+q_+}{t}-\dfrac{N_-q_-}{t}$$ $$I_{net}= \dfrac{N_+q_+-N_-q_-}{t}$$ where $q_+=2e$ and $q_-=-e$ $$I_{net}= \dfrac{2N_+ e+N_-e}{t}$$ Plug the known; $$I_{net}= \dfrac{2(5\times 10^{15})(1.6\times 10^{-19})+(6\times 10^{15})(1.6\times 10^{-19})}{1}$$ $$I=\bf 0.00256\;\rm A=\color{red}{\bf 2.56}\;\rm mA$$
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