How is electric power related to resistance at constant voltage?

At constant voltage, electric power is inversely proportional to resistance.

Mathematically, power is given by:
P = V² / R

where:
P = electric power
V = voltage (constant)
R = resistance

This formula shows that if the voltage remains constant, increasing the resistance will decrease the power, while decreasing the resistance will increase the power.

This relationship is important in electrical circuits, especially when selecting resistors or designing systems to control power consumption.

Key insight:
Lower resistance → Higher power (at constant voltage)
Higher resistance → Lower power (at constant voltage)