kW to Amps Conversion Formula

kW to Amps conversion provides helps to calculate kW from the known current amps in circuit. Let’s start off with four formulas:

  • In case of Direct current: I = (kW * 1000)/E
  • In case of single phase AC: I = (kW * 1000)/(E * PF)
  • In case of two phase AC, four wire: I = (kW * 1000)/(E * PF * 2)
  • In case of two phase AC, four wire: I = (kW * 1000)/(E * PF * 1.73)

Where E = Voltage, PF = Power factor, I = Current, kW = Power in kilowatts


Direct Current Circuit kW to Amps

Example: A 50 kW DC Motor operates at 220 volts. Find the current drawn by motor.

Solution: I = (kW * 1000) / E

= (50 * 1000) / 220

= 227 Amps


Single Phase AC kW to Amps

Example: A 220 volt, 10 kW single phase AC circuit operates at PF of 90%. Determine the current.

Solution: I = (kW * 1000)/(E * PF)

= (10 * 1000) / (220 * 0.9)

= 50.5 Amps


Two Phase Four Wire AC kW to Amps

Example: A 20 kW, 220 V, two phase four wire AC system operates at PF 88%. Find the current drawn by system.

Solution: I = (kW * 1000)/(E * PF * 2)

= (20 * 1000) / (220 * 0.88 * 2)

= 51.65 Amps


Three Phase AC kW to Amps

Example: A 50 kW, 230 V, thee phase AC system operates at PF of 85%. Find the current drawn by circuit.

Solutioon: I = (kW * 1000)/(E * PF * 1.73)

= (50 * 1000)/(230 * 0.85 * 1.73)

= 147.83

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