Current and Breaker Size Calculator from Active Power

Calculate the approximate line current of motors, heaters and other electrical loads from their active power.

Formula used

Three-phase: I = P / (√3 × U × cos φ × η)

Current by power · three-phase 400 V (cos φ 0.90, efficiency 0.90)

Formula results for cos φ 0.90 and efficiency 0.90 only. For motors, cos φ and efficiency vary with power; at small and medium ratings the nameplate current is higher than this value. Motor calculations and protection selection use the nameplate current.

Active power (kW)Line current (A)
0.370.66
0.550.98
0.751.34
1.11.96
1.52.67
2.23.92
35.35
47.13
5.59.80
7.513.36
1119.60
1526.73
18.532.97
2239.20
3053.46
3765.93
4580.19
5598.01
75133.65
90160.38
110196.01
132235.22
160285.11

Current by power · single-phase 230 V (resistive load)

For resistive loads such as heaters, cos φ 1.00 and efficiency 1.00 are assumed. The last column is the next standard rated current; the protective device is selected separately together with cable capacity and tripping curve.

Active power (kW)Line current (A)Next standard rated current (A)
0.52.173
14.356
1.56.528
28.7010
2.510.8713
313.0416
3.515.2216
4.519.5720
5.523.9125
7.532.6140

Example: how many amps does an 11 kW, 400 V three-phase load draw?

  1. Data: P = 11 kW, U = 400 V, cos φ = 0.90, η = 0.90.
  2. Calculation: I = 11,000 W / (√3 × 400 V × 0.90 × 0.90) = 19.60 A.
  3. The next standard rated current is 20 A. For motors, the nameplate current is decisive; starting current, tripping curve and cable capacity are assessed separately.

How is current calculated from active power?

Active power, operating voltage, power factor and efficiency are used together. Single-phase lines have no √3 factor; for direct current the power factor drops out of the equation.

How should the breaker rating be read?

The next standard rating is only a preliminary choice. Cable capacity, tripping curve, starting current, breaking capacity, short-circuit level and selectivity must be verified separately.