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: 7

Answer

We can rank the loops according to the magnitude of $~~\int~B \cdot ds~~$ around each loop: $(c) = (d) \gt (b) \gt (a)$

Work Step by Step

$\int~B\cdot ds = \mu_0~i_{enc}$ Loop $a$ encloses the smallest amount of current $i_{enc}$. Loop $b$ encloses the second smallest amount of current $i_{enc}$. Loop $c$ and loop $d$ enclose the same amount of current $i_{enc}$ We can rank the loops according to the magnitude of $~~\int~B \cdot ds~~$ around each loop: $(c) = (d) \gt (b) \gt (a)$
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