Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 30 - Current and Resistance - Exercises and Problems - Page 888: 47

Answer

$1.38\;\rm \Omega\cdot m$

Work Step by Step

According to Ohm’s law, $$\Delta V=IR$$ where $R=\dfrac{\rho L}{A}$ $$\Delta V=I\dfrac{\rho L}{A}$$ Solving for the resistivity; $$\rho=\dfrac{A\Delta V }{I L}=\dfrac{\pi r^2 \Delta V }{I L}$$ Plug the known; $$\rho =\dfrac{\pi (0.75\times 10^{-3})^2 (9) }{(230\times 10^{-6})(5\times 10^{-2})}$$ $$\rho=\color{red}{\bf 1.38}\;\Omega\cdot m$$
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