# Amps to Kilowatts (kW) Conversion Calculator

Enter the current and voltage to convert amps to watts for DC and AC single and three-phase circuits.

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## How to Convert Amps to Kilowatts

To convert amps to kilowatts, you can use the Watt’s Law power formula, which states that I = P ÷ V, where *P* is the power in watts, *I* is current in amps, and *V* is voltage in volts.

The amps to kilowatts formula derived from the power formula is:^{[1]}

P_{(kW)} = I_{(A)} × V_{(V)} / 1,000

Thus, the power *P* in kilowatts is equal to the current *I* in amps multiplied by the voltage *V* in volts, divided by 1,000.

**For example**, let’s find the kilowatts of power for a circuit with 12 amps of current at 120 volts.

P_{(kW)} = 12 A × 120 V / 1,000

P_{(kW)} = 1,440 W / 1,000

P_{(kW)} = 1.44 kW

## Single-Phase AC Circuit Amps to Kilowatts Conversion

Conversion of amps to kilowatts for single-phase alternating current (AC) circuits using the current, RMS voltage, and power factor (PF) can be done with a slightly different formula.

P_{(kW)} = I_{(A)} × V_{(V)} × PF / 1,000

AC electrical power is composed of a real part, expressed in watts (W), and a reactive part, expressed in volt-amps (VA). The magnitude of both real and reactive together is called the apparent power, and the PF gives the ratio of real power to apparent power.^{[2]}

The PF is a property determined by the AC frequency and the amount of inductive or capacitive elements in the circuit.

Thus, the real power *P* in kilowatts is equal to the current *I* in amps multiplied by the voltage *V* in volts multiplied by the power factor PF, divided by 1,000. Try our power factor calculator to get the power factor if needed.

## Three-Phase AC Circuit Amps to Kilowatts Conversion

### Using Line to Line Voltage

The formula to convert amps to kilowatts for three-phase AC circuits where the current, line to line RMS voltage, and power factor is known is:^{[1]}

P_{(kW)} = I_{(A)} × V_{L-L(V)} × PF × √3 / 1,000

Thus, the power *P* in kilowatts is equal to the current *I* in amps multiplied by the voltage *V* in volts multiplied by the power factor PF multiplied by the square root of 3, divided by 1,000.

This equation is correct when considering one pair of wires in the three-phase system, but when considering all three pairs of wires in the three-phase system, you would need to multiply it by three.

### Using Line to Neutral Voltage

The formula to convert amps to kilowatts for three-phase AC circuits where the line to neutral RMS voltage is known is:

P_{(kW)} = I_{(A)} × V_{L-N(V)} × PF × 3 / 1,000

Thus, the power *P* in kilowatts is equal to the current *I* in amps multiplied by the voltage *V* in volts multiplied by the power factor PF multiplied by 3, divided by 1,000.

This formula is correct for the power delivered by all three wires in the three-phase system, but if you’re considering one wire in the three-phase system, you’ll need to divide by three.

## How to Convert Amps and Ohms to Kilowatts

It’s also possible to convert amps to kilowatts using circuit resistance with this formula:

P_{(kW)} = I_{(A)}^{2} × R_{(Ω)} / 1,000

Thus, the power *P* in kilowatts is equal to the current *I* in amps squared multiplied by the resistance *R* in ohms, divided by 1,000.

You might also be interested in our amps to watts calculator.

## Equivalent Amps and Kilowatts at 120V AC

Current (Amps) | Power (Kilowatts) | RMS Voltage |
---|---|---|

1 amps | 0.12 kilowatts | 120 volts |

2 amps | 0.24 kilowatts | 120 volts |

3 amps | 0.36 kilowatts | 120 volts |

4 amps | 0.48 kilowatts | 120 volts |

5 amps | 0.6 kilowatts | 120 volts |

6 amps | 0.72 kilowatts | 120 volts |

7 amps | .084 kilowatts | 120 volts |

8 amps | 0.90 kilowatts | 120 volts |

9 amps | 1.08 kilowatts | 120 volts |

10 amps | 1.2 kilowatts | 120 volts |

11 amps | 1.32 kilowatts | 120 volts |

12 amps | 1.44 kilowatts | 120 volts |

13 amps | 1.56 kilowatts | 120 volts |

14 amps | 1.68 kilowatts | 120 volts |

15 amps | 1.8 kilowatts | 120 volts |

20 amps | 2.4 kilowatts | 120 volts |

25 amps | 3 kilowatts | 120 volts |

30 amps | 3.6 kilowatts | 120 volts |

35 amps | 4.2 kilowatts | 120 volts |

40 amps | 4.8 kilowatts | 120 volts |

45 amps | 5.4 kilowatts | 120 volts |

50 amps | 6 kilowatts | 120 volts |

60 amps | 7.2 kilowatts | 120 volts |

70 amps | 8.4 kilowatts | 120 volts |

80 amps | 9.6 kilowatts | 120 volts |

90 amps | 10.8 kilowatts | 120 volts |

100 amps | 12 kilowatts | 120 volts |

## Equivalent Amps and Kilowatts at 240V AC

Current (Amps) | Power (Kilowatts) | RMS Voltage |
---|---|---|

1 amps | 0.24 kilowatts | 240 volts |

2 amps | 0.48 kilowatts | 240 volts |

3 amps | 0.72 kilowatts | 240 volts |

4 amps | 0.96 kilowatts | 240 volts |

5 amps | 1.2 kilowatts | 240 volts |

6 amps | 1.44 kilowatts | 240 volts |

7 amps | 1.68 kilowatts | 240 volts |

8 amps | 1.92 kilowatts | 240 volts |

9 amps | 2.16 kilowatts | 240 volts |

10 amps | 2.4 kilowatts | 240 volts |

11 amps | 2.64 kilowatts | 240 volts |

12 amps | 2.88 kilowatts | 240 volts |

13 amps | 3.12 kilowatts | 240 volts |

14 amps | 3.36 kilowatts | 240 volts |

15 amps | 3.6 kilowatts | 240 volts |

20 amps | 4.8 kilowatts | 240 volts |

25 amps | 6 kilowatts | 240 volts |

30 amps | 7.2 kilowatts | 240 volts |

35 amps | 8.4 kilowatts | 240 volts |

40 amps | 9.6 kilowatts | 240 volts |

45 amps | 10.8 kilowatts | 240 volts |

50 amps | 12 kilowatts | 240 volts |

60 amps | 14.4 kilowatts | 240 volts |

70 amps | 16.8 kilowatts | 240 volts |

80 amps | 19.2 kilowatts | 240 volts |

90 amps | 21.6 kilowatts | 240 volts |

100 amps | 24 kilowatts | 240 volts |

## References

- Miller, C., Ugly’s Electrical References, 2020 Edition, 2020, Jones & Bartlett Learning, 16-23. https://books.google.com/books?id=1kS8DwAAQBAJ
- Fiore, J., AC Electrical Circuit Analysis - A Practical Approach, 2022, 274. http://www.dissidents.com/resources/ACElectricalCircuitAnalysis.pdf