Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 21 - Electromagnetic Induction and Faraday's Law - Problems - Page 622: 45

Answer

$l_T=46m$, $l_w=21km$, $R=7.0×10^2\Omega$

Work Step by Step

$L=\frac{\mu_oN^2A}{l_T}$ $A=\frac{\pi(d_T)^2}{4}$ $l_T=d_wN$ $L=\frac{\mu_oN^2(\frac{\pi(d_T)^2}{4})}{d_wN}$ $N=\frac{4d_wL}{\mu_o\pi d_T^2}=56993$ turns $l_T=d_wN=(0.81\times10^{-3}m/turn)(56993 turns)=46m$ $l_w=\pi d_TN=pi(12\times10^{-2}m/turn)(56993 turns)=21km$ $R=\rho\frac{l}{A}=(1.68\times10^{-8}\Omega m)\frac{21486m}{(\frac{0.81\times10^{-3}m}{2})^2}=7.0\times10^2\Omega$
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