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 621: 19

Answer

$5.24C$

Work Step by Step

$\Delta B=-0.670T$ $A_l=(\pi(0.066m)^2)=0.0137m^2$ $\Phi=BA=(-0.670T)(0.0137m^2)$$=-9.16\times10^{-3}Wb$ $A_w=\pi(1.125\times10^{-3})^2=3.976\times10^{-6}m^2$ $l_w=2\pi r=0.415m$ $R=\rho\frac{l}{A}=(1.68\times10^{-8})\frac{0.415m}{3.976\times10^{-6}m^2}=1.75\times10^{-3}\Omega$ $E=\frac{-\Delta\Phi_B}{\Delta t}=\frac{9.16\times10^{-3}Wb}{\Delta t}$ $I=\frac{E}{R}=\frac{\frac{9.16\times10^{-3}Wb}{\Delta t}}{1.75\times10^{-3}\Omega}=\frac{5.24}{\Delta t}$ $Q=I\Delta t=(\frac{5.24}{\Delta t})(1s)=5.24C$
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