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 - Questions - Page 855: 6c

Answer

We can rank the wires according to the value of the current: $(a) = (c) \gt (b) = (d)$

Work Step by Step

$\int~B\cdot ds = \mu_0~i_{enc}$ Therefore: $B = \frac{\mu_0~i_{enc}}{2\pi~r}~~~$ where $r$ is the radial distance from the center of the wire. At large values of $r$ on the graph, $a$ and $c$ have greater magnetic fields than $b$ and $d$ Therefore, the enclosed current in curves $a$ and $c$ must be greater than the enclosed current in curves $b$ and $d$ We can rank the wires according to the value of the current: $(a) = (c) \gt (b) = (d)$
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