When voltage is doubled, power is?

When voltage is doubled, the power increases by a factor of four, not just doubled. This relationship can be understood through the power formula in electrical systems, which states that power (P) is equal to voltage (V) squared divided by resistance (R), expressed mathematically as P = V²/R.

If the voltage is doubled, then substituting into the equation gives:

1. Original power = V²/R

2. New power when voltage is doubled = (2V)²/R = 4V²/R.

This shows that the new power becomes four times the original power. Therefore, when we say it’s "doubled twice," we can interpret this as effectively being to the power of two, indicating an increase fourfold.

This is why the correct answer emphasizes that the power when voltage is doubled can be represented as "doubled twice," since doubling implies a squared relationship in the context of power with respect to voltage.