Fundamentals of Physics Extended (10th Edition)

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

Chapter 26 - Current and Resistance - Problems - Page 766: 11c

Answer

$J_a$ maximizes the current density near the wire’s surface.

Work Step by Step

$J_a = \frac{J_0~r}{R}$ As $r$ approaches $R$, then $J_a$ approaches $J_0 = 5.50\times 10^4~A/m^2$ $J_b = J_0~(1-\frac{r}{R})$ As $r$ approaches $R$, then $J_b$ approaches $0$ Therefore, $J_a$ maximizes the current density near the wire’s surface.
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