University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 25 - Current, Resistance, and Electromotive Force - Problems - Discussion Questions - Page 841: Q25.12

Answer

Graph A is correct.

Work Step by Step

Assuming that Ohm’s Law holds for this resistor, the current $I=\frac{V}{R}$. As voltage increases, the current increases linearly, as shown in graph A. The question is vague as to whether the temperature dependence of the resistance R is to be taken into account. Various materials that make up resistors have either positive or negative temperature coefficients of resistivity, meaning that R could increase or decrease with temperature. If this effect is taken into account, then graph D could be correct for a resistor whose resistance increases with temperature (which would happen with increasing current).
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