What is the formula for total power in a three-phase circuit?

The total power in a three-phase circuit can indeed be expressed in multiple ways, each reflecting different aspects of the circuit's operation.

The formula expressing total power as the product of the number of phases and the power in a single phase (Ptotal = 3Pphase) relates to the scenario where power in each phase is considered the same, providing a straightforward way to compute total power when all phases are balanced.

The expression for total power as Ptotal = √3 * Vline * Iline derives from the relationship between line and phase voltages and currents in a three-phase system. Specifically, this formula emphasizes how the line voltage (Vline) and line current (Iline) contribute to the overall power delivered in a balanced three-phase system. The inclusion of the square root of three accounts for the geometric relationships in three-phase systems, where the phase angles between the three voltages are 120 degrees apart.

Lastly, the equation Ptotal = 3(Vphase * Iphase * Cosφ) incorporates the concept of power factor (Cosφ), which is crucial in real-world applications as it accounts for the phase difference between voltage and current in the circuit. This formula is particularly useful when individual phase powers are calculated separately, especially in