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 521: 17

Answer

2.0 volts

Work Step by Step

Use equation 18–3 to find the resistance. The cross-sectional area $A=\pi r^2=\frac{\pi d^2}{4}$. $$R=\rho\frac{\mathcal{l}}{A}=\rho\frac{4 \mathcal{l}}{\pi d^2}$$ Calculate the voltage drop by combining this with Ohm’s law, equation 18–2. $$V=IR=I\rho\frac{4 \mathcal{l}}{\pi d^2}$$ $$ =(12A)(1.68\times10^{-8}\Omega \cdot m)\frac{4(21m)}{\pi (1.628\times10^{-3}m)^2}$$ $$ =2.0 volts$$
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