Which of the following is the formula for electrical power using resistance?

The formula for electrical power using resistance is represented as P = I²R. In this equation, P stands for power measured in watts, I represents current in amperes, and R denotes resistance in ohms.

This relationship arises from the basic definitions of electrical power and Ohm's Law. Ohm's Law establishes that the voltage (V) across a resistor is equal to the current (I) multiplied by the resistance (R), i.e., V = IR. The power (P) consumed in an electrical circuit can also be calculated using the formula P = VI. By substituting the expression for voltage from Ohm's Law into the power equation, we can derive different forms of the power formula.

Using the expression V = IR, we can substitute for V in the power formula, giving us P = I(IR) or P = I²R. This shows how power varies not only with the current running through the circuit but also with the resistance of the components involved.

The other formulas provided do not correctly express the relationship between power and resistance in this particular context, as they either alter the relationships established by Ohm's Law or misrepresent the dependence of power on current and resistance. Understanding how to manipulate the basic