Fundamentals of Physics Extended (10th Edition)

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

Chapter 32 - Maxwell's Equations; Magnetism of Matter - Problems - Page 968: 19a

Answer

$B_{}=75.4nT.$

Work Step by Step

Using Formula, $A=\pi R^2$, $ \begin{aligned} B & =\frac{\mu_0 i_d r}{2 \pi R^2}=\frac{\mu_0 J_d A r}{2 \pi R^2}=\frac{\mu_0 J_d\left(\pi R^2\right) r}{2 \pi R^2}=\frac{1}{2} \mu_0 J_d r \\ & =\frac{1}{2}\left(4 \pi \times 10^{-7} \mathrm{~T} \cdot \mathrm{m} / \mathrm{A}\right)\left(6.00 \mathrm{~A} / \mathrm{m}^2\right)(0.0200 \mathrm{~m})\\&=75.4 \mathrm{nT} . \end{aligned} $
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