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 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