Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 26 - Current and Resistance - Problems - Page 767: 32b

Answer

The ion drift speed is $~~0.289~m/s$

Work Step by Step

We can find the magnitude of the current density: $J = \sigma~E$ $J = (2.70\times 10^{-14}~(\Omega\cdot m)^{-1})(120~V/m)$ $J = 3.24\times 10^{-12}~A/m^2$ We can find the density of the net charge carriers: $620~cm^{-3} - 550~cm^{-3} = 70~cm^{-3}$ We can find the ion drift speed: $J = (ne)~v_d$ $v_d = \frac{J}{ne}$ $v_d = \frac{3.24\times 10^{-12}~A/m^2}{(70\times 10^6/m^3)(1.6\times 10^{-19}~C)}$ $v_d = 0.289~m/s$ The ion drift speed is $~~0.289~m/s$
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