If the voltage across a resistor is increased while keeping the resistance constant, what happens to the power consumption?

When the voltage across a resistor is increased while maintaining a constant resistance, the power consumed by the resistor increases. This relationship is governed by the formula for electrical power, which is defined as P = V²/R, where P represents power, V represents voltage, and R represents resistance.

In this formula, if the resistance (R) is constant and the voltage (V) is increased, the square of the voltage (V²) will also increase. Since the power is directly proportional to the square of the voltage and inversely proportional to resistance, an increase in voltage will lead to a significant rise in power consumption. Hence, as the voltage increases, the electrical power consumed by the resistor correspondingly increases as well. This principle is fundamental to understanding the behavior of resistors in electrical circuits.