Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 22 - Magnetism - Problems and Conceptual Exercises - Page 796: 81

Answer

(a) toward the wire (b) $3\times 10^{-5}N$

Work Step by Step

(a) We know that the direction of the force on each side of the loop is away from the center of the loop because the force gets stronger closer to the wire. Hence, the net force acts towards the wire. (b) We know that $F_{net}=IL\frac{\mu_{\circ}I^{\prime}}{2\pi}(\frac{1}{r_{close}}-\frac{1}{r_{far}})$ We plug in the known values to obtain: $F_{net}=(2.5A)(1.0m)\frac{(4\pi \times 10^{-7}\frac{T.m}{A})(14A)}{2\pi}(\frac{1}{0.2m}-\frac{1}{1.2m})$ $F_{net}=3\times 10^{-5}N$
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