# How to convert kW to Amps

## DC kW to amps calculation formula

I(A) = 1000 × P(kW) / V(V)

The current I in amps (A) is equal to 1000, multiplied by the power P in kilowatts (kW), divided by the voltage V in volts (V).

So,

A = 1000 × kW / V
amp = 1000 × kilowatt / volt

For example:

Power (P) = 3kW
Voltage (V) = 110V

Current (I) = 1000 x 3kW / 110V = 27,27A

## AC single phase kilowatts kW to amps calculation formula

I(A) = 1000 × P(kW) / (PF × V(V))

The phase current I in amps (A) is equal to 1000, multiplied by the power P in kilowatts (kW), divided by the power factor PF, multiplied by the RMS voltage V in volts (V).

So,

A = 1000 × kW / (PF x V)
amp = 1000 × kilowatt / (PF x volt)

For example:

Power (P) = 3kW
Voltage (V) = 110V
PF = 0,7

Current (I) = 1000 x 3kW / (0,7 x 110V) = 38,96A

## AC three phase kW to amps calculation formula

### Line to line voltage

I(A) = 1000 × P(kW) / (√3 × PF × VL-L(V))

The phase current I in amps (A) is equal to 1000, multiplied by the power P in kilowatts (kW), divided by square root of 3, multiplied by the power factor PF, multiplied by the line to line RMS voltage VL-L in volts (V).

So,

A = 1000 × kW / (√3 × PF x V)
amp = 1000 × kilowatt / (√3 × PF x volt)

For example:

Power (P) = 3kW
Voltage (V) = 110V
PF = 0,7

Current (I) = 1000 x 3kW / (√3 × 0,7 x 110V) = 22,49A

### Line to neutral voltage

I(A) = 1000 × P(kW) / (3 × PF × VL-N(V))

The phase current I in amps (A) is equal to 1000, multiplied by the power P in kilowatts (kW), divided by 3, multiplied by the power factor PF, multiplied by the line to neutral RMS voltage VL-N in volts (V).

So,

A = 1000 × kW / (3 × PF x V)
amp = 1000 × kilowatt / (3 × PF x volt)

For example:

Power (P) = 3kW
Voltage (V) = 110V
PF = 0,7

Current (I) = 1000 x 3kW / (3 × 0,7 x 110V) = 12,99A