kW to Amps conversion calculator is used to calculate amperes from the known power kilowatts in DC, Single, two, or three phase AC circuits. Enter the known kW and system voltages to find the current through the circuit.

List of Contents

## DC kW to Amps

It is a ratio of 1000 times kW to the system voltages.

Mathematically

I = [kW * 1000] / E

Example: A 50 kW, 100-volt dc (Direct current) generator power v belt at a cement production power plant. Find the amperes.

Solution: I = [50 * 1000] / 100 = 500 A

## Single phase kW to Amps

The single phase and all other alternating current circuits introduce an additional concept of power factor in the denominator. Single phase formula is a ration of thousand times kilowatts to the power factor times operating voltages.

Mathematically

I = [kW * 1000] / [E * PF]

Example: A 120-volt single phase AC circuit has 20 kW load. The system is operating at 0.85 power factor. Calculate amps.

Solution: I = [20 kW * 1000] / [120 * 0.85] = 196 A

## Two-phase kW to Amps

Here the formula is identical to the previous one with the difference being a 2 is introduced in the denominator.

Mathematical equation:

I = [kW * 1000] / [E * PF * 2]

Example: A 200 volt, two-phase circuit operating at 0.8 PF is loaded with 10 kW load. Find the current.

Solution: I = [10 * 1000] / [200 * 0.8 * 2] = 31.25 A

## Three phase kW to Amps

Three phase kW to Amps calculations involve a ration of 1000 times kW to the power factor times voltage and an additional factor 1.73 that represents an equivalent of √3 and is added because the circuit is three phase in nature.

Mathematically:

I = [kW * 1000] / [E * PF * 1.73]

Example: A 3 phase 400 volt circuit has a 50 kW load connected to it. Find the current if the power factor is 0.9.

Solution: I = [50 * 1000] / [400 * 0.9 * 1.73] = 80.28 A

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