Electronics calculator

Free Watts to amps calculator

Enter the power in watts, the voltage, and the circuit type — DC, AC single-phase, or AC three-phase — and this calculator returns the current in amps using A = W / V (and the power factor and √3 for AC), updated live, as you type.

InputsLive
Current type
Power (W)
W
Voltage (V)
V
Result
Current
10 A
The current this load draws at the voltage and circuit type you entered.
Current10 A
Power1,200 W
Circuit typeDC

Estimates from the values you enter. Size breakers and wire to your local electrical code.

Results are estimates. Consult a professional.

How it's calculated

How the watts-to-amps calculator works

Watts measure power — how fast energy is used. Amps measure current — how much charge flows each second. You cannot convert one to the other without a voltage, because the same power can flow as a large current at a low voltage or a small current at a high voltage. This calculator takes the power in watts, the voltage in volts, and the circuit type, and returns the current in amps.

DC: A = W / V
AC single-phase: A = W / (PF × V)
AC three-phase: A = W / (√3 × PF × V_line)
These are the standard electric-power relations: for DC and resistive loads P = V × I, and for AC the real power P = V × I × cos φ, where cos φ is the power factor. The √3 factor for a balanced three-phase load comes from the line-to-phase voltage relationship. See Wikipedia's "Electric power" and "AC power" articles.
Circuit type

DC vs AC single-phase vs three-phase

The same watts draw a different current depending on the circuit. Picking the wrong type is the most common reason a watts-to-amps answer comes out wrong, so set it before you read the result.

DC — A = W / V

Direct current flows one way at a steady voltage: batteries, solar panels, USB and automotive 12 V systems. There is no power factor, so the current is simply the power divided by the voltage. A 60 W load on a 12 V battery draws 5 A.

AC single-phase — A = W / (PF × V)

Single-phase AC is what feeds homes and most plug-in appliances (120 V or 230 V depending on the country). The power factor enters here: a reactive load such as a motor draws more current than its watts alone suggest, so dividing by the power factor raises the current.

AC three-phase — A = W / (√3 × PF × V_line)

Three-phase AC powers industrial and commercial equipment — large motors, HVAC and machine tools. Three live conductors share the load, so for the same watts and line voltage each conductor carries less current than a single-phase circuit would. The √3 factor (about 1.732) captures that sharing. Always use the line-to-line voltage, not the phase voltage.

Three-phase carries 1/√3 of the current
For the same power, voltage and power factor, a three-phase circuit pulls about 58% of the single-phase current per conductor — one reason heavy loads are wired three-phase.
AC only

What power factor is and why it matters

Power factor (PF) is the ratio of real power, measured in watts, to apparent power, measured in volt-amps (VA). It runs from 0 to 1. A purely resistive load — a heater, an incandescent bulb, a kettle — has a power factor of 1, so its watts and volt-amps are equal. Motors, transformers and many electronic supplies are reactive: part of the current goes back and forth without doing useful work, so the power factor falls below 1.

Because current depends on apparent power, a lower power factor means more current for the same watts. At PF 0.8 a load draws 25% more current than its watts suggest (1 ÷ 0.8 = 1.25). That is why the conductor and breaker must be sized from the current, not from the watts.

Use the nameplate value
For DC and purely resistive loads, leave the power factor at 1. For motors and HVAC, read the power factor from the equipment nameplate — typical values are 0.7 to 0.9. If you only know the volt-amps (VA), that is already the apparent power and no power factor is needed.
Example

A worked example converting watts to amps

Example: a 1200 W load on a 120 V circuit

Marisol has a 1200 W appliance and a 120 V supply. She wants the current draw so she can pick the right breaker — first as a simple resistive (DC-equivalent) load, then as a motor with a power factor of 0.9.

Step 1 — DC or resistive: A = W / V

With no power factor to worry about, A = 1200 ÷ 120 = 10 A. A purely resistive 1200 W load at 120 V draws exactly 10 amps.

Step 2 — AC single-phase with power factor 0.9

Now A = W / (PF × V) = 1200 ÷ (0.9 × 120) = 1200 ÷ 108 = 11.11 A. The lower power factor pushes the current up by about 11% over the resistive case.

Step 3 — three-phase, for comparison

A bigger 10,000 W three-phase load on a 208 V line at PF 0.9 draws A = 10000 ÷ (√3 × 0.9 × 208) = 30.84 A per conductor — far less than the same watts would pull single-phase.

10 A (DC) · 11.11 A (AC 1φ, PF 0.9)
Marisol sizes the branch circuit from the higher AC figure of 11.11 A, then applies the code's continuous-load margin before choosing a breaker and wire gauge.
Quick reference

Watts-to-amps quick-reference table

Common power-and-voltage pairs and the current they draw. AC figures assume a power factor of 1 unless noted; lower the power factor and the current rises proportionally.

PowerVoltageTypeCurrent
60 W12 VDC5.00 A
100 W120 VDC / resistive0.83 A
1200 W120 VDC / resistive10.00 A
1200 W120 VAC 1φ, PF 0.911.11 A
1500 W230 VAC 1φ, PF 16.52 A
3000 W230 VAC 1φ, PF 0.8515.35 A
10000 W208 VAC 3φ, PF 0.930.84 A

Computed from A = W / V (DC), A = W / (PF × V) (AC 1φ) and A = W / (√3 × PF × V_line) (AC 3φ). Three-phase uses line-to-line voltage.

Why it matters

Why this matters: sizing breakers and wire

Current, not power, is what heats a conductor and what a breaker trips on. Converting watts to amps is the first step in choosing a wire gauge and an overcurrent device that are safe for the load.

  • Breaker rating — the breaker must carry the load current without nuisance tripping, yet trip before the wire overheats. Knowing the amps is the starting point.
  • Wire gauge — a conductor has an ampacity (a safe current limit) set by its size and insulation. Undersized wire overheats; the amps tell you the minimum gauge.
  • Continuous-load margin — many codes require sizing a continuous load (on for 3 hours or more) at 125% of its current, so a 11.11 A load is sized as if it were about 13.9 A.
  • Voltage drop on long runs — once you know the current, a voltage drop calculator tells you whether the run is too long for the chosen gauge.

To go the other way — current back to power — use the companion Ohm's law calculator, which also relates voltage, resistance and power.

Avoid these

Common mistakes converting watts to amps

  • Forgetting the power factor on AC — using A = W / V for a motor undercounts the current. Reactive loads draw more amps than their watts alone imply.
  • Using phase voltage for three-phase — the formula needs the line-to-line voltage. Plugging in the phase voltage gives a current that is too high by √3.
  • Confusing watts with volt-amps — equipment is often rated in VA (apparent power). VA already includes the power factor, so do not divide by it again.
  • Sizing wire straight from the calculated amps — apply the code's continuous-load margin and derating factors first; the bare current is a minimum, not the final figure.
  • Assuming the supply voltage is exact — nominal 120 V or 230 V sags under load. For a worst-case current, use the lowest expected voltage.
Accuracy

How accurate is this watts-to-amps calculator

The arithmetic is exact. For the power, voltage, circuit type and power factor you enter, the calculator returns the current to full floating-point precision using A = W / V (DC), A = W / (PF × V) (single-phase) and A = W / (√3 × PF × V_line) (three-phase).

Real circuits vary for physical reasons, not arithmetic ones. The nominal voltage sags under load, the power factor shifts as a motor's load changes, and ratings carry tolerances. Treat the result as a design figure: apply your local electrical code's margins for continuous loads, ambient temperature and conductor bundling before choosing a breaker or wire. For the underlying relations, the Wikipedia "AC power" article gives the full derivation.

Questions

Frequently asked questions about the free Watts to amps calculator

A watts to amps calculator is a free online tool that helps you convert power in watts to current in amps for DC, AC single-phase, and AC three-phase circuits, including power factor. Power and current are linked by voltage. The exact relation depends on whether the circuit is DC or AC and, for AC, on the power factor and number of phases. It runs entirely in your browser with instant results and no sign-up.
Divide watts by volts for DC: A = W / V. For AC single-phase, divide by the power factor too: A = W / (PF × V). For three-phase, A = W / (√3 × PF × V_line). You always need the voltage — watts alone do not give amps.
On a DC or purely resistive circuit, 1200 W ÷ 120 V = 10 A. On AC single-phase with a power factor of 0.9 it is 1200 ÷ (0.9 × 120) = 11.11 A, because the lower power factor raises the current.
Only for AC. DC and purely resistive loads (heaters, incandescent bulbs) use a power factor of 1, so you can ignore it. Motors and reactive loads have a power factor below 1, which increases the current for the same watts.
Three live conductors share the load, so each carries about 1/√3 (≈58%) of the single-phase current for the same power, voltage and power factor. That is why heavy equipment is wired three-phase — it needs thinner conductors per phase.
No — treat it as a minimum. Electrical codes add margins: continuous loads (on 3+ hours) are typically sized at 125% of current, and conductors are derated for temperature and bundling. Apply those before choosing a breaker and wire gauge.
About

About this Watts to amps calculator

This calculator runs entirely in your browser — nothing you enter is sent anywhere. It converts power in watts to current in amps using A = W / V for DC, A = W / (PF × V) for AC single-phase, and A = W / (√3 × PF × V_line) for AC three-phase, updating the moment you change a value.

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