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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Current:

milliampsampskiloamps

Voltage:

millivoltsvoltskilovolts

convert kw to amps

Phase:

DCAC - single-phaseAC - three-phase

Current:

milliampsampskiloamps

Voltage:

millivoltsvoltskilovolts

Voltage Type:

line to line voltageline to neutral voltage

Power Factor:

find power factor

convert kw to amps

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Power:

 

kilowatts

 

watts

 

milliwatts

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By

Joe Sexton

Joe is the creator of Inch Calculator and has over 20 years of experience in engineering and construction. He holds several degrees and certifications.

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Reviewed by

Aditya Dua, PhD

Aditya holds a PhD in electrical engineering from Stanford University and specializes in signal processing, algorithms, and machine learning.

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and

Kevin Weekly, PhD

Kevin Weekly holds a PhD in Electrical Engineering and Computer Science (EECS) from the University of California Berkeley and Bachelor's degrees in electrical engineering and computer science from the University of Texas.

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Cite As:

Sexton, J. (n.d.). Amps to Kilowatts (kW) Conversion Calculator. Inch Calculator. Retrieved April 17, 2025, from https://www.inchcalculator.com/amps-to-kilowatts-calculator/

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 product of the current I in amps and the voltage V in volts, divided by 1,000.

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 product of the current I in amps, the line-to-line voltage V in volts, the power factor PF, and the square root of 3, divided by 1,000.

This equation gives you the power for one pair of wires in the three-phase system, but when considering all three pairs, you would need to multiply the result 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 product of the current I in amps, the line-to-neutral voltage V in volts, and the power factor PF, multiplied by 3, then divided by 1,000.

This formula gives you the power delivered by all three wires in a three-phase system, but when considering one wire, you will need to divide the result by three.

How to Convert Amps and Ohms to Kilowatts

It is 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 product of the square of the current I in amps and 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

Equivalent Amps and Kilowatts at 240V AC