Example
7.5 kW motor on 400 V three phase
The 7.5 kW figure is mechanical output, with 90% motor efficiency and 0.85 power factor.
Electrical input = 7.5 ÷ 0.90 = 8.333 kW Current = 8,333 ÷ (1.732 × 400 × 0.85) = 14.15 A
Result: 14.15 A.
Power calculator
Calculate balanced three-phase line current while stating whether your power figure is electrical input kW, motor mechanical output kW or apparent kVA.
Calculation breakdown
| Input basis | Motor mechanical output kW |
|---|---|
| Electrical real power | 8.333 kW |
| Apparent power | 9.804 kVA |
| Line-to-neutral voltageDerived for a balanced wye-equivalent relationship | 230.9 V |
I = output kW × 1,000 ÷ efficiency ÷ (√3 × VLL × PF) = 7.5 × 1,000 ÷ 0.9 ÷ (1.732 × 400 × 0.85) = 14.15 A
Before you rely on this
Steady-state current is not sufficient for motor protection, cable or breaker selection. Verify starting behavior, duty, harmonics, derating and applicable installation rules.
Method
Balanced three-phase apparent power is √3 × line-to-line voltage × line current. Real electrical power is apparent power multiplied by power factor.
A motor nameplate output in kW is mechanical shaft power, so electrical input is higher by the inverse of efficiency. Efficiency is not applied when the entered kW is already electrical input.
Electrical input kW: I = kW × 1,000 ÷ (√3 × VLL × PF) Motor output kW: I = kW × 1,000 ÷ efficiency ÷ (√3 × VLL × PF) Apparent kVA: I = kVA × 1,000 ÷ (√3 × VLL)
Symbols
Worked examples
Example
The 7.5 kW figure is mechanical output, with 90% motor efficiency and 0.85 power factor.
Electrical input = 7.5 ÷ 0.90 = 8.333 kW Current = 8,333 ÷ (1.732 × 400 × 0.85) = 14.15 A
Result: 14.15 A.
Limits of the model
Assumptions
The supply and load are balanced and values represent steady state.
Not covered
Does not calculate starting current, protective-device settings, conductor size, unbalance or harmonics.
Sources
Next steps
Convert real kilowatts to current without confusing kW with kVA. Choose DC, single-phase or balanced three-phase and enter the correct voltage and power factor.
Convert apparent power to current for single-phase or balanced three-phase systems. Because kVA already includes voltage and current, power factor is not applied to the current formula.
Current depends on more than watts and volts. Pick your system type so the calculation uses the right relationship — power factor for AC, and √3 for three-phase.
Convert current to real power using the relationship for your electrical system. AC results keep power factor and apparent power visible.
Last meaningful update: 2026-08-19. This date changes only when the model, the sources or the guidance change.