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: 38

Answer

$a = 3.00\times 10^{-2}~N/m\cdot C$

Work Step by Step

We can see that the graph changes from increasing to decreasing at $r = 2.00~cm$. This tells us that the radius of the circular region with the magnetic field is $r = 2.00~cm$ We can find $a$: $2\pi~r~E = \vert \frac{d\Phi}{dt} \vert$ $2\pi~r~E = (\pi~r^2) ~\frac{dB}{dt}$ $2\pi~r~E = (\pi~r^2) ~(a)$ $a = \frac{2~E}{r}$ $a = \frac{(2)~(300\times 10^{-6}~N/C)}{0.0200~m}$ $a = 3.00\times 10^{-2}~N/m\cdot C$
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