Fundamentals of Physics Extended (10th Edition)

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

Chapter 33 - Electromagnetic Waves - Problems - Page 1008: 94b

Answer

$B=4.00 \times 10^{-3} \mathrm{~T} $

Work Step by Step

We use Ampere's law: $\oint \vec{B} \cdot d \vec{s}=\mu_0 i$, where the integral is around a closed loop and $i$ is the net current of the loop. The magnitude of magnetic field is $$ B=\frac{\mu_0 i}{2 \pi r}=\frac{\left(4 \pi \times 10^{-7} \mathrm{~T} \cdot \mathrm{m} / \mathrm{A}\right)(25.0 \mathrm{~A})}{2 \pi\left(1.25 \times 10^{-3} \mathrm{~m}\right)}\\=4.00 \times 10^{-3} \mathrm{~T} . $$
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