Amps (A) to Kilowatts (kW) calculator and how to calculate

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

The power *P*, in kW is calculated by multiplying the voltage *V* in volts (V) by the phase current *I*, in amps (A) and then dividing the result by 1,000.

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

Therefore:

Kilowatts are calculated by multiplying the volts by amps and then dividing by 1,000.

Kilowatt = amp × volt / 1000

Or

kW = A × V / 1000

**Example
**

Work out the power consumption in an electrical circuit where the voltage supply is 110V and the current is 2A.

*Solution*

*P* = *I* × *V*/1000

*P* = 2A × 110V / 1000 = 0.22kW

Actual power *P*, in kilowatts is calculated by multiplying the phase current *I* in amps (A) by the power factor *PF*, multiplied by the RMS voltage *V*, in volts (V), and then dividing the result by 1,000.

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

Therefore:

Kilo-watts = amps times volts times the power factor divided by 1,000.

Kilowatt = *PF *× amp × volt / 1000

Or

kW = *PF *× A × V / 1000

**Example
**

Given that the phase current in a circuit is 4A, the power factor is 0.9 and the RMS voltage is 110V, calculate the actual power consumption in the circuit.

*Solution*

Power *P* = *PF* × *I* × *V* /1000

*P* = 0.9 × 4A × 110V / 1000 = 0.396kW

Real Power *P*, in kilowatts in an AC 3 phase circuit is calculated by multiplying the square root of 3 by the phase current *I*, in amps (A) multiplied by the power factor *PF*, multiplied by the line in line RMS *V _{L-L}* voltage, in volts (V), and the dividing the result by 1,000.

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

Therefore;

Kilowatts = the square root of 3 times volts times the power facto divided by 1,000

Kilowatt = *√*3 × *PF *× amp × volt / 1000

Or

kW = *√*3 × *PF *× A × V / 1000

**Example
**

Calculate the power consumption by an electrical appliance, given that its RMS voltage is 110V, its phase current is 4A and that the power factor is 0.9.

*Solution*

*P* = *√*3 × *PF *× *V* × *I /1,000*

*P* = √3 × 0.9 × 4A × 110V / 1000 = 0.685kW