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: 20

Answer

$2R$.

Work Step by Step

Resistance of a wire with resistivity $\rho$, length $l$, and area $A$ is $\frac{\rho l}{A}$. Halving the length causes resistance to halve and halving diameter causes area to be multiplied by 0.25, so the net result is a wire with double the resistance, so $2R$.
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