## Kilowatts (kW) to amps (A) conversion

How to convert electric power in kilowatts (kW) to electric current in amps (A)

Since amps and kilowatts are sued to measure the same quantity, it is possible to work out the amps given the volts and kilowatts.

### DC kilowatts to amps calculation

To calculate the current *I* in amps (A), you should multiply the real power *P*, in kilowatts by 1000 and divide the result by the voltage *V*, in volts (V).

*I*_{(A)} = 1000 ×* P*_{(kW)} / *V*_{(V)}

Therefore:

Current in amps (A) = kilowatts multiplied by 1000

amps = 1000 × kilowatts / volts

Or

A = 1000 × kW / V

**Example**

Given that the power consumption by an electrical appliance is 0.44 kilowatts and that the voltage across it terminals is 110V, calculate the current in amps through the appliance.

*Solution*

*I*_{(A)} = 1000 ×* P*_{(kW)} / *V*_{(V)}

*I* = 1000 × 0.44kW / 110V = 4A

### AC single phase kilowatts to amps calculation

In this case, the current *I* in amps (A) is calculated by multiplying the real power *P*, in kW by 1000 and then dividing the result by the power factor *PF* multiplied by the RMS voltage *V*, in volts (V).

*I* = 1000 ×* P* / (*PF* × *V *)

Therefore:

Current *I* in amps= power *P *in kW times 1000/ Volts times the power factor

Amps = 1000 × kilowatts / (*PF* × volts)

Or

A = 1000 × kW / (*PF* × V)

**Example**

Work out the phase current, in amperes, given that the power factor in a circuit is 0.7, the power consumption is 0.44 kilowatts and the RMS voltage is 110V.

*Solution*

*I* = 1000 ×* P* / (*PF* × *V *)

*I* = 1000 × 0.44kW / (0.7 × 110V) = 5.71A

### AC three phase kilowatts to amps calculation

In this case, the phase current I in amperes (A), is calculated by multiplying the real power *P*, in kilo-watts (kW) by 1000 and then dividing the result by the power factor multiplied by the square root of three times the line in line RMS *V*_{L-}_{L }voltage, in volts (V).

*I* = 1000 ×* P* / (*√*3 × *PF* × *V*_{L-L} )

Therefore:

Current *I *in amperes (A) = 1000 multiplied by kW divided by the *PF* times the root of 3 times the volts

Amps = 1000 × kilowatts / (*√*3 × *PF* × volts)

Or

A = 1000 × kW / (*√*3 × *PF* × V)

**Example**

Given that the power factor is 0.9, the power consumption is 0.44 kilowatts, and the voltage supply is 110V, calculate the phase current in amperes.

Solution

*I* = 1000 ×* P* / (*√*3 × *PF* × *V*_{L-L} )

*I* = 1000 × 0.44kW / (*√*3 × 0.9 × 110V) = 2.56A