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 856: 1a

Answer

$B=3.3\mu T$

Work Step by Step

To find the magnetic field at a certain radius from a wire, use Formula 29-4 on pg. 837 $$B=\frac{\mu_o i}{2\pi R}$$ Substitute known values of $i=100A$, $\mu_o=4\pi \times 10^{-7} H/m$, and $R=6.1m$ yields a magnetic field of $$B=\frac{(4\pi \times 10^{-7} H/m)(100A)}{2\pi(6.1m)}=3.3\times 10^{-6} T=3.3\mu T$$
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