What happens to power consumption if voltage is doubled while resistance remains constant?

When voltage is doubled while keeping resistance constant, power consumption increases significantly. This relationship can be understood through the power formula derived from Ohm's law. The formula for power (P) can be expressed as:

P = V²/R

Where P is power, V is voltage, and R is resistance.

If the voltage is doubled (let's say from V to 2V), we can plug this into the formula:

P_new = (2V)² / R = 4V² / R

This shows that the new power consumption (P_new) is four times the original power consumption (P_original), since:

P_original = V² / R

This means that increasing the voltage by a factor of two results in an increase in power consumption by a factor of four, as the resistance remains unchanged. This is why power consumption is quadrupled when the voltage is doubled.