What is the formula used to calculate resistance in terms of power and current?

The formula used to calculate resistance in terms of power and current is derived from the relationships established in electrical theory. Specifically, power (P) in an electrical circuit can be defined using the formula P = I²R, where I is the current and R is the resistance.

To isolate R from this equation, we can rearrange it as follows:

1. Start with P = I²R.

2. Divide both sides by I²: R = P / I².

However, since the original answer provided was A, which is R = P / I, there seems to be a slight misunderstanding. The correct relationship should indeed be expressed as R = P / I², which indicates that resistance increases with the power consumed and decrease with the square of the current flowing.

This demonstrates that as the current increases, to maintain the same power level, the resistance must appropriately adjust according to this squared relationship. Understanding this can help clarify how resistance functions in relation to power and current in an electrical circuit.