Question

When the current through a resistor is increased by a factor of 4, the power dissipated by the resistor

A. decreases by a factor of 16
B. increases by a factor of 2
C. decreases by a factor of 4
D. increases by a factor of 16
E. increases by a factor of 4

Answer 1

When the current through a resistor is increased by a factor of 4, the power dissipated by the resistor increases by a factor of 16.

Step-by-step explanation:

When the current through a resistor is increased by a factor of 4, the power dissipated by the resistor increases by a factor of 16.

This can be explained using the formula for power dissipated in a resistor, which is given by P = I²R. In this equation, I represents the current and R represents the resistance.

Since power is proportional to the square of the current, when the current is multiplied by 4, the power increases by a factor of 4², which is 16.