A resistor is made of a material that has a resistivity that is proportional to the current going through it.If the voltage across the resistor is doubled,what happens to the power dissipated by it? A) It doubles. B) It quadruples. C) It increases by a factor of 2^3/2. D) It increases by a factor of 2^1/2.

Question

Quizplus · Accepted Answer

The power dissipated by a resistor is given by P = V^2/R. Since resistivity is proportional to current, R is proportional to I. With V = IR, if V is doubled, I changes such that R also changes. Solving the equations shows power increases by a factor of 2^(3/2).

A Resistor Is Made of a Material That Has a Resistivity