Why is √3 used?
For a balanced three-phase system expressed with line voltage and line current, total apparent power includes the √3 factor.
Help improve MAXScanner?
Optional usage analytics can tell us which tools and workflows are useful. File names, document contents, typed values, search queries and workflow tokens are not sent.
MAXScanner calculator
Calculate balanced three-phase real power and energy from line voltage, line current, power factor and time, or reverse-solve current from target kW.
Result
12.471 kW
99.766 kWh over 8 h
Enter target kW for reverse current solve.
P = √3 × V_L × I_L × PF; energy = P × time; I = P ÷ (√3 × V_L × PF).
400 V, 20 A and 0.9 PF gives about 12.471 kW; for 8 hours that is about 99.766 kWh.
Last updated: 2026-09-16
For a balanced three-phase system expressed with line voltage and line current, total apparent power includes the √3 factor.
This calculator first uses power factor to obtain real kW, then multiplies real power by the entered operating time.