Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 29 - Magnetic Fields Due to Currents - Problems - Page 862: 74

Answer

$32.12\ A$

Work Step by Step

It is given that, the magnitude of magnetic field $B =7.3 \mu T = 7.3\times 10^{-6}\ T$ Distance from the central axis $R=88\ cm = 0.88\ m$ We know that the current in the wire is $i$. Therefore, the magnetic field due to a current carrying conductor is: $B = \frac{\mu_o i}{2\pi R}$ $i=\frac{2\pi RB}{\mu_o}$ $i=\frac{2\pi (0.88\ m)(7.3\times 10^{-6}\ T) }{4\pi\times 10^{-7} H/m}$ $i=32.12\ A$
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