What happens to power if both voltage and current are doubled?

Power in an electrical circuit can be calculated using the formula ( P = VI ), where ( P ) is power, ( V ) is voltage, and ( I ) is current. When both voltage and current are doubled, the new power can be expressed as:

1. Original power: ( P = VI )

2. New voltage: ( 2V )

3. New current: ( 2I )

When you substitute the new values into the power formula, you get:

[ P_{new} = (2V)(2I) = 4VI ]

This shows that the new power is four times the original power. Therefore, when both voltage and current are doubled, the resulting power increases to four times its initial value, confirming that power becomes four times greater.