Physics: Principles with Applications (7th Edition)

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

Chapter 20 - Magnetism - Problems - Page 584: 24

Answer

a. $4.7\times10^{-5}m/s$ b. $1.1\times10^{29}\frac{e^-}{m^3}$

Work Step by Step

a. See page 569. Solve for the drift velocity, v, in the Hall effect equation. $$V_{Hall}=vBd$$ $$v=\frac{V_{Hall}}{Bd}$$ $$=\frac{1.02\times10^{-6}V}{(1.2T)(0.018m)}=4.7\times10^{-5}m/s$$ b. Find the charge carrier density by using equation 18–10. $$n=\frac{I}{eAv_d}$$ $$=\frac{15A}{(1.60\times10^{-19}C)(0.018m)(0.0010m)( 4.722\times10^{-5}m/s)}$$ $$=1.1\times10^{29}\frac{e^-}{m^3}$$
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