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

### amps to kilowatts calculation formula In Direct Current(DC)

**P(kW) = I(in Amps) × V(in Volts) / 1000**

So that you can define kilowatts(Kw) are equivalent to amps(A) times volts(V) divided by 1000

**kilowatt = amps(A) × volt(V) / 1000**

**or**

**kW = A × V / 1000**

**Let’s take one example**

**Example#1**

Find out the power utilization in kW where the current(I) is 5A and the voltage(V) supply is 120V

in the circuit.

Apply formula for the solution:

P = 5A × 120V / 1000 = 0.6kW

### amps to kilowatts calculation formula in AC single phase

**P(kW) = PF(Power Factor) × I(in Amps) × V(in Volts) / 1000**

So that you can define kilowatts are equivalent to PF times amps(A) times volts(V) divided by 1000

**kilowatt(Kw) = Power Factor × amps × volt / 1000**

**or**

**kW = PF × A × V / 1000**

**Let’s take one example**

**Example#2**

Find out the power utilization in kW where the PF

is 0.8 and the phase current(I) is 5A and the RMS(Root Mean Square) voltage(V) supply is 120V in the circuit.

Apply formula for the solution:

P = 0.8 × 5A × 120V / 1000 = 0.48kW

### amps to kilowatts calculation formula in AC three phase

**P(in kW) = √3 × PF × I(in Amps) × VL-L(in Volts) / 1000**

So that you can define kilowatts(Kw) are equivalent to √3 times PF times amps(A) times volts(V) divided by 1000

**kilowatt(Kw) = √3 × PF × amps(A) × volt(V) / 1000**

**or**

**kW = 1.732 × PF × A × V / 1000**

**Let’s take one example**

**Example#3**

Find out the power utilization in kW when the PF is 0.8 and the phase current(I) is 5A and the

RMS(Root Mean Square) voltage(V) supply is 120V

Apply formula for the solution:

P = 1.732 × 0.8 × 5A × 120V / 1000 = 0.831kW

where DC = Direct Current, AC = Alternating Current

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