College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 17 - Electric Current and Resistance - Learning Path Questions and Exercises - Conceptual Questions - Page 618: 11

Answer

a). Same b). One-quarter the current

Work Step by Step

a). $R=p\frac{L}{A}$, $p$ being the resistivity, So, when length is 2L, and area is 2A, there is no change in R, hence current remains same as $I=\frac{V}{R}$. b). When length is L and area is $\frac{A}{4}$, R becomes 4 times, hence I becomes $\frac{I}{4}$, so it becomes one-quarter the current.
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