V2×I2

V2×I2 is a mathematical expression commonly used in electrical engineering to calculate the power dissipated by a resistor in a circuit. The expression is derived from Ohm's Law and the definition of power in electrical circuits. Here's a breakdown of the components:

V2 represents the square of the voltage (V) across the resistor. Voltage is the electrical potential difference between two points in a circuit, measured in volts (V).

I2 represents the square of the current (I) flowing through the resistor. Current is the flow of electrical charge, measured in amperes (A).

The product of V2 and I2 gives the power (P) dissipated by the resistor, measured in watts (W). This relationship is expressed as:

P = V2 × I2

This expression is particularly useful when the voltage and current are known, but the resistance is not. It can also be used to determine the maximum power that a resistor can dissipate without overheating, which is crucial for designing and selecting appropriate resistors for a circuit.