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 898: 36c

Answer

$\int~E\cdot ds = 1.34\times 10^{-3}~V$

Work Step by Step

Note that the magnetic fields are in the opposite directions. $\int~E\cdot ds = -\frac{d\Phi}{dt}$ $\int~E\cdot ds = -[(\pi~r_2^2)~\frac{dB}{dt} - (\pi~r_1^2~\frac{dB}{dt})]$ $\int~E\cdot ds = -[(\pi)~(0.30~m)^2~(-8.50~mT/s) -(\pi)~(0.20~m)^2~(-8.50~mT/s)]$ $\int~E\cdot ds = 1.34\times 10^{-3}~V$
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