Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 20 - Electric Circuits - Check Your Understanding - Page 547: 5

Answer

(b),(d) and (e)

Work Step by Step

We have $ R = \frac{\rho l}{A} = \frac{\rho l}{\pi r^2} $ Since resistivity is constant and $\pi$ is also a constant, thus the resistor with $\frac{l}{r^2} $ maximum have maximum resistance and minimum current. for (b) $ \frac{1}{2}L_0$ and $\frac{1}{2}r_0$, (d)$2L_0 $ and $r_0$ and (e)$8L_0$ and $ 2 r_0$, $\frac{l}{r^2} $ is maximum ($\frac{2L_0}{r_0^2}$) thus resistance is maximum and current is minimum
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