Calculate AC power
Enter RMS voltage, RMS current, and the circuit power factor.
About RMS power conversion
RMS, short for root mean square, expresses an alternating voltage or current as the equivalent direct-current value that would produce the same heating effect in a resistive load. Household mains ratings and most AC meter readings are RMS values. Because voltage and current continually change direction in an AC waveform, using their simple peak or average values can give a misleading power estimate. RMS values provide the practical basis for comparing AC and DC systems and for calculating equipment loads.
For a single-phase AC circuit, real power in watts equals RMS voltage multiplied by RMS current multiplied by power factor. The power factor describes how closely current follows voltage. A purely resistive heater has a power factor near 1, so 120 volts at 2 amps consumes about 240 watts. Motors, transformers, fluorescent lighting, and electronic power supplies can have lower power factors because some current stores and returns energy instead of performing useful work. At a power factor of 0.8, the same apparent power produces only eighty percent as much real power.
This converter calculates real power rather than apparent power. Apparent power is measured in volt-amperes and equals RMS volts multiplied by RMS amps without the power-factor adjustment. Reactive power is another quantity, measured in reactive volt-amperes, that represents energy exchanged with magnetic or electric fields. These quantities are related but should not be treated as interchangeable when selecting wiring, estimating energy use, or rating generators and uninterruptible power supplies.
Use measured RMS values whenever possible. A basic meter may assume a sine wave, while a true-RMS meter correctly handles many distorted waveforms. The power factor must also represent the complete load, including both phase displacement and waveform distortion, if you need an accurate real-power result. Nameplate current is often a maximum rating rather than normal operating current, so multiplying nameplate figures can overstate everyday consumption.
The calculator is useful for quick checks on appliances, audio equipment, workshop machinery, lighting, and other single-phase loads. It does not replace a qualified electrical assessment, especially for three-phase installations, changing loads, or safety-critical conductor sizing. Three-phase balanced power uses an additional square-root-of-three factor when line-to-line voltage is entered. Always confirm the system configuration and follow applicable electrical codes before making installation decisions.
RMS to watts FAQ
Is RMS voltage the same as watts?
No. RMS voltage measures electrical potential, while watts measure the rate of real energy use. Current and power factor are also needed to calculate AC real power.
What power factor should I use?
Use the load manufacturer's stated power factor or a value measured by a suitable power meter. Use 1 only for a nearly pure resistive load or when you intentionally want the unity-power-factor estimate.
Why is the answer lower than volts multiplied by amps?
Volts multiplied by amps gives apparent power in VA. Multiplying by a power factor below 1 removes the reactive and distortion portion to estimate real power in watts.
Does this formula work for three-phase power?
This calculator applies the standard single-phase formula. Balanced three-phase systems need a different formula that depends on whether line or phase voltage is used.
Can I estimate electricity cost from this result?
Yes, multiply watts by operating hours and divide by 1,000 to obtain kilowatt-hours. Then multiply kilowatt-hours by the energy rate on the utility bill.