 # Amps to kW

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

## Amps (A) to Kilowatts (kW) calculator

 Current type: DC AC - Single phase current AC - Three phase current Current in amps: A Voltage in volts: V Kilowatts: kW

## Amps to kilowatts conversion

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

### DC amps to kilowatts conversion

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

### AC single phase amps to kilowatts conversion

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

### AC three phase amps to kilowatts conversion

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 VL-L voltage, in volts (V), and the dividing the result by 1,000.

P(kW) = 3 × PF × I(A) × VL-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