Fundamentals of Physics Extended (10th Edition)

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

Chapter 30 - Induction and Inductance - Problems - Page 895: 2

Answer

$emf=0.452V$

Work Step by Step

We know that $emf=\frac{d\phi}{dt}$ This can be written as: $emf=\frac {d(BA)}{dt}$ $emf=\frac{B \pi r^2}{dt}$ As $B$ is constant: $emf=B\pi\frac{d(r^2)}{dt}$ $emf=B\pi\frac{2r(dr)}{dt}$ $emf=2\pi r B\frac{(dr)}{dt}$ We plug in the known values to obtain: $emf=2(3.1416)(0.12)(0.800)(0.750)=0.452V$
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