Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 27 - Current and Resistance - Exercises and Problems - Page 762: 8


$i_e = 1.0\times 10^{19}~electrons/s$

Work Step by Step

We can find the drift speed: $v_d = \frac{e~\tau~E}{m}$ $v_d = \frac{(1.6\times 10^{-19}~C)(4.2\times 10^{-15}~s)(0.065~V/m)}{9.1\times 10^{-31}~kg}$ $v_d = 4.8\times 10^{-5}~m/s$ We can find the electron current: $i_e = n_e~A~v_d$ $i_e = n_e~\pi~r^2~v_d$ $i_e = (8.5\times 10^{28}~electrons/m^3)~(\pi)~(0.90\times 10^{-3}~m)^2~(4.8\times 10^{-5}~m/s)$ $i_e = 1.0\times 10^{19}~electrons/s$
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