The electrical potential can be determined using the relationship between the electric power and the electric resistance. The formula is:

Electric potential = Square root of (Electric power x Electric resistance)

This formula is derived from Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points. By combining Ohm's law with the definition of electrical power (P = IV), we can obtain the formula for electrical potential.

Electric potential is measured in volts (V) and represents the amount of work needed to move a unit charge from one point to another in an electric field. It is a scalar quantity, meaning that it has only magnitude and no direction.

Using this formula, we can calculate the electric potential in various electrical systems, such as circuits, batteries, and other electrical devices. By knowing the electric power and electric resistance of a system, we can determine the electric potential, which can then be used to analyze and optimize the performance of the system.

An alternative formula for determining the electric potential can be derived from:

\(P\) \(=\) \(\dfrac{V^2}{R}\)

\(V\): the electric potential

\(R\): the resistance

\(P\): the electric power

The SI unit of electric power is: \(watt\text{ }(W)\)