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 897: 23a

Answer

$emf=24\mu V$

Work Step by Step

We know that; $emf=\frac{d\phi}{dt}$........eq(1) But, $\phi=BA$. This can be rewritten as: $\phi=\frac{1}{4}\pi r^2B$ Thus eq(1) becomes: $emf=\frac{1}{4}\pi r^2(\frac{dB}{dt})$ We plug in the known values to obtain: $emf=\frac{1}{4}(3.1416)(0.10)^2(0.003)$ $emf=24\times^{-6}$ $emf=24\mu V$
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