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Electrical / Power & Wattage

Volts to Watts Conversion Calculator

Calculate real power from voltage, current, phase, and power factor.

Real Power
960.0 W
00504001008001501,2002001,600VW120 V960 W
1 V = 8 W

Use the stated electrical relationship and enter values in the displayed units.

Source: Formula conventions follow standard electrical engineering relationships. Verify equipment ratings and local code requirements before installation.

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MPhil in Mathematics, Founder of Mathovia
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Volts to Watts Conversion Calculator formula
The Volts to Watts Conversion formula

Why convert volts to watts

Voltage on its own tells you almost nothing about power. A 120 V outlet feeds a phone charger drawing a couple of watts and a hair dryer drawing eighteen hundred, and the voltage is identical in both cases. What separates them is current. Multiply the two together and you get power — with one adjustment for alternating-current motor and electronic loads, called the power factor.

This calculation comes up whenever you have a voltage and a current reading and need the wattage behind them: checking that a nameplate’s stated volts and amps actually match its rated watts, sizing a generator around the real load on a circuit, estimating running cost from a clamp-meter reading, or confirming a solar or battery system can carry what you want to plug into it.

The volts to watts formula

For a single-phase AC circuit:

For a three-phase circuit, using line-to-line voltage:

is real power in watts, is voltage, is current in amps, and is the power factor between 0 and 1. For direct current or a purely resistive AC load, and the formula is just .

The power factor is the part people skip and then wonder why their numbers don’t match. It represents the fraction of the volt-amps flowing in the circuit that actually turns into work. A resistive load — heat, incandescent light — has a power factor of 1. A motor or a cheap switch-mode supply pulls extra current that flows in and out of a magnetic field without doing anything, so its power factor drops to somewhere between 0.6 and 0.9.

Worked example

The calculator’s defaults describe a single-phase circuit at 120 V carrying 10 A with a power factor of 0.8.

Multiply voltage by current to get the apparent power:

Then scale by the power factor to get real power:

So the load consumes 960 watts. The remaining 240 VA is reactive power — it loads the wiring and the breaker but never registers on the utility meter and never heats or turns anything.

If that same load were resistive, the power factor would be 1 and the full 1,200 W would be real power. That gap between 960 W and 1,200 W for identical voltage and current is exactly why power factor belongs in the formula.

Volts to Watts Conversion Calculator worked example diagram
A visual read of the worked example above — the same numbers the calculator returns for its default inputs.

Three-phase worked example

A three-phase circuit at 208 V line-to-line, carrying 15 A per line, at a power factor of 0.85:

The √3 factor is there because the three line currents are 120° out of phase with one another, so the total power isn’t simply three times the single-line figure.

Volts and amps to watts, at a glance

Assuming a resistive load (power factor 1):

Voltage1 A5 A10 A15 A20 A
12 V12 W60 W120 W180 W240 W
120 V120 W600 W1,200 W1,800 W2,400 W
240 V240 W1,200 W2,400 W3,600 W4,800 W

For a motor or electronic load, multiply the table value by the power factor. A 10 A motor on 240 V at a power factor of 0.85 delivers about 2,040 W, not 2,400 W.

What the result does and doesn’t tell you

The watts figure is the real power the load consumes at the instant you took the readings. It is not necessarily the load’s rated wattage — a motor started under load, a heater mid-cycle, or a dimmed lamp all draw less than their nameplate figure. It also isn’t the apparent power the wiring carries; that’s the volts-times-amps number before the power-factor scaling, and it’s the one that matters for conductor and breaker sizing.

Common mistakes

  • Assuming power factor is 1 for everything. It inflates the wattage for any motor, transformer, or non-corrected electronic load.
  • Using phase voltage instead of line-to-line voltage in the three-phase formula, or forgetting the √3 entirely.
  • Reading current with a clamp meter and calling volts × amps “watts.” That’s VA. Real power is lower by the power factor.
  • Mixing 120 V and 240 V. A 240 V appliance read as 120 V halves the wattage.

For the reverse calculation, use the watts to volts calculator. To find the current a known wattage draws, see watts to amps, and for resistance-based circuits, volts to amps applies Ohm’s law directly.

About the formula: Use the stated electrical relationship and enter values in the displayed units.

Frequently Asked Questions

How many watts is 10 amps at 120 volts?+

For a resistive load at a power factor of 1, that's 10 × 120 = 1,200 W. At the calculator's default power factor of 0.8, the same voltage and current deliver 960 W of real power, with the other 240 VA circulating without doing work.

How does this volts to watts conversion calculation work?+

It multiplies voltage, current, and power factor together, and multiplies by √3 as well for a three-phase system. That is the standard real-power formula. Voltage alone doesn't determine wattage; you need the current too.

Why does the calculator ask for current if I already know the voltage?+

Because wattage isn't set by voltage alone. Power is voltage times current times power factor, so without the current the formula can't return a real-power figure at all. A 120 V outlet can supply anything from a fraction of a watt to nearly 2,000 W depending on what's plugged in.

What power factor should I use if I don't know it?+

For a heater, kettle, incandescent bulb, or any purely resistive load, use 1. For a motor, pump, or compressor, 0.8 is a reasonable starting guess, though lightly loaded motors run worse. For electronics, check whether the supply is power-factor-corrected. Use the nameplate value whenever the equipment lists one.

Is this the same as volt-amps (VA)?+

Only when the power factor is 1. Volts times amps gives apparent power in VA. Multiplying that by the power factor gives real power in watts. Watts is what an appliance actually consumes and what a utility meter records; VA is what the wiring and breaker have to carry.

Does this work for a DC circuit?+

Yes. Set the power factor to 1 and leave the system on single-phase. For DC, power is simply voltage times current, so a 12 V supply delivering 5 A is putting out 60 W.

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