Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 21 - Magnetic Forces and Magnetic Fields - Problems - Page 609: 32

Answer

4.3 A

Work Step by Step

Magnetic force on a current-carrying wire is $F=ILB\sin\theta$ $\implies 0.030\,N=(2.7\,A)LB\sin\theta$ Or $LB\sin\theta =\frac{0.030\,N}{2.7\,A}=0.011\,N/A$ The new force $F'=0.047\,N=I'LB\sin\theta$ where $I'$ is the new current. $L$, $B$ and $\theta$ are same $\implies I'=\frac{F'}{LB\sin\theta}=\frac{0.047\,N}{0.011\frac{N}{A}}=4.3\,A$
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