University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 25 - Current, Resistance, and Electromotive Force - Problems - Exercises - Page 842: 25.17

Answer

The resistance is $R = 0.125 Ω$,

Work Step by Step

$A = \frac{π}{4}\times d^{2}$ $A = \frac{π}{4}\times (2.05\times10^{-3}m)^{2}$ $A = (3.3\times10^{-6}m^{2}$). This area represents the cross sectional area of the wire. The resistivity of a wire for copper is found from Table 25.1 and it is therefore, $ρ = 1.72\times10^{-8} Ωm$ The formula for resistance is : $R=\frac{ρL}{A}$ $$R = \frac{1.72\times10^{-8} Ωm\times24m}{3.3\times10^{-6}m^{2}}$$ $$R = 0.125 Ω$$
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