What is the formula for calculating the square root of power times resistance?

The square root of power times resistance is derived from the relationships outlined in electrical theory, particularly with Ohm's law and power equations. The power (P) in an electrical circuit can be expressed in terms of voltage (V) and current (I) using the formula ( P = V \times I ).

Additionally, Ohm's law states that ( V = I \times R ), where R is resistance. By substituting Ohm's law into the power formula, we can express power in terms of resistance:

[ P = I^2 \times R ]

or

[ P = \frac{V^2}{R} ]

From the rewritten definition of power, if we want to find the current when we have power and resistance, we can manipulate these equations. Specifically, if we isolate for the current using ( P = I^2 \times R ), we get ( I = \sqrt{\frac{P}{R}} ).

If the question specifically asks for the square root of power times resistance, it would be stated as:

[ I = \sqrt{P \times R} ]

Thus, the formula to find the current based on the power and resistance is indeed the square