Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 29 - The Magnetic Field - Exercises and Problems - Page 832: 32

Answer

The strength of the second magnetic field is $~81~mT$

Work Step by Step

We can write an expression for the initial magnetic field: $B_1 = \frac{V_1~D}{R~I}$ We can write an expression for the second magnetic field: $B_2 = \frac{V_2~D}{R~I}$ We can divide $B_2$ by $B_1$: $\frac{B_2}{B_1} = \frac{\frac{V_2~D}{R~I}}{\frac{V_1~D}{R~I}}$ $\frac{B_2}{B_1} = \frac{V_2}{V_1}$ $B_2 = \frac{V_2}{V_1} \times B_1$ $B_2 = (\frac{2.8~\mu V}{1.9~\mu V})~(55~mT)$ $B_2 = 81~mT$ The strength of the second magnetic field is $~81~mT$
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