Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 26 - Current and Resistance - Problems - Page 767: 26a

Answer

$\sigma = 6.00\times 10^7~(\Omega\cdot m)^{-1}$

Work Step by Step

We can find the current density: $\sigma = \frac{J}{E}$ $J = \sigma~E$ $J = \frac{\sigma~V}{L}$ $J = \frac{(3.00\times 10^7~(\Omega\cdot m)^{-1})~(3.00~V)}{3.00\times 10^{-3}~m}$ $J = 3.00\times 10^{10}~A/m^2$ We can find the conductivity of section 1: $\sigma = \frac{J}{E}$ $\sigma = \frac{J}{V/L}$ $\sigma = \frac{J~L}{V}$ $\sigma = \frac{(3.00\times 10^{10}~A/m^2)(4.00\times 10^{-3}~m)}{2.00~V}$ $\sigma = 6.00\times 10^7~(\Omega\cdot m)^{-1}$
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