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: 12

Answer

$4.7\times10^{-4}m$

Work Step by Step

Use equation 18–3 to find the diameter. The cross-sectional area $A=\pi r^2=\frac{\pi d^2}{4}$. $$R=\rho\frac{\mathcal{l}}{A}=\rho\frac{4 \mathcal{l}}{\pi d^2}$$ $$d=\sqrt{\frac{4 \mathcal{l}\rho}{\pi R}}$$ $$d=\sqrt{\frac{4(1.00m)(5.6\times10^{-8}\Omega \cdot m)}{\pi (0.32 \Omega)}}$$ $$=4.7\times10^{-4}m$$
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