Physics: Principles with Applications (7th Edition)

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

Chapter 18 - Electric Currents - Problems - Page 523: 56

Answer

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Work Step by Step

a. Use Ohm’s law to find the resistance. $$R=V/I=(22.0\times10^{-3}V)/(0.75A)\approx 0.029 \Omega$$ b. Find the resistivity using equation 18–3. $$R=\frac{\rho L}{A}$$ $$\rho=\frac{RA}{L}=\frac{R \pi r^2}{L}$$ $$\rho=\frac{(0.02933 \Omega) \pi (0.001m)^2}{4.80m}=1.9\times10^{-8}\Omega \cdot m$$ c. Use equation 18–10. $$n=\frac{I}{eAv_d}=\frac{0.75A}{(1.60\times10^{-19}C) \pi (0.001m)^2(1.7\times10^{-5}m/s)}$$ $$n=8.8\times10^{28}e/m^3$$
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