College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 18 - Conceptual Questions - Page 696: 17


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Work Step by Step

Let there are two wires of cross-section $A/2$, we can join them to form a wire of cross-section A. Suppose, current I passes through each of the two small wires, and the potential difference between their ends is$ V$. So the resistance of both wires will be $r = V/I$ Now when they are connected in parallel, Current flowing through the wire= $2I,$ the potential difference between them =$ V$ So resistance of the bigger wire$ = V/2I = R = r/2$ Hence resistance is inversely proportional to the area of cross-section of the wire
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