Calculate electrical power in watts from voltage and current, current and resistance, or voltage and resistance. Convert between watts, kilowatts, milliwatts, amps, volts, ohms, and horsepower. Results update instantly.
Enter watts and voltage to find current, or watts and current to find voltage.
| Unit | Symbol | Value |
|---|
A watt (W) is the SI unit of power. It measures the rate at which energy is transferred or converted. The fundamental relationship between electrical power, voltage, current, and resistance is described by Ohm's Law combined with the power formula:
All three formulas give the same result for resistive (DC) loads. For AC circuits, multiply by the power factor to get real (active) power. The power factor accounts for the phase difference between voltage and current in inductive or capacitive loads.
| Unit | Symbol | Equal to Watts |
|---|---|---|
| Milliwatt | mW | 0.001 W |
| Watt | W | 1 W |
| Kilowatt | kW | 1,000 W |
| Megawatt | MW | 1,000,000 W |
| Horsepower (mechanical) | hp | 745.69987 W |
| BTU per hour | BTU/h | 0.29307107 W |
| Calorie per second | cal/s | 4.1868 W |
New Zealand mains supply is 230 V AC at 50 Hz. The following typical wattages help put the calculator results in context:
| Appliance | Typical Wattage | Current at 230 V |
|---|---|---|
| LED light bulb | 8 to 15 W | 0.03 to 0.07 A |
| Laptop | 45 to 90 W | 0.20 to 0.39 A |
| Television (55") | 80 to 150 W | 0.35 to 0.65 A |
| Refrigerator | 100 to 250 W | 0.43 to 1.09 A |
| Microwave | 700 to 1,200 W | 3.0 to 5.2 A |
| Electric jug / kettle | 2,000 to 2,400 W | 8.7 to 10.4 A |
| Heat pump (heating) | 800 to 2,000 W | 3.5 to 8.7 A |
| Electric shower | 7,000 to 10,500 W | 30 to 46 A |
| EV charger (home, 7 kW) | 7,000 W | 30 A |
A standard NZ wall socket is rated at 230 V with a 10 A circuit breaker. The maximum power available is:
P = V x I = 230 x 10 = 2,300 W (2.3 kW)
An electric kettle rated at 2,400 W at 230 V draws:
I = P / V = 2,400 / 230 = 10.43 A
This slightly exceeds a standard 10 A circuit, which is why kettles in NZ typically have a 13 A rated element or are plugged into a 15 A circuit. The calculator above produces exactly these results with its default values (230 V, 5 A giving 1,150 W).
For AC circuits with inductive or capacitive loads (such as motors, fluorescent lights, and air conditioners), the apparent power (volt-amperes, VA) differs from the real power (watts). The power factor (pf) is the ratio of real power to apparent power:
Real Power (W) = Apparent Power (VA) x Power Factor
A power factor of 1.0 means all the apparent power does useful work (resistive loads such as heaters and incandescent bulbs). Motors typically have a power factor of 0.7 to 0.9. The calculator accounts for power factor when you select an AC circuit type.
For a balanced three-phase AC circuit the real power formula is:
P = sqrt(3) x VL x IL x pf
Where VL is the line-to-line voltage and IL is the line current. In NZ, three-phase supply is 400 V line-to-line (230 V phase-to-neutral). A 400 V, 32 A, pf 0.85 load draws 400 x 32 x 1.732 x 0.85 = approximately 18,844 W (18.84 kW).
Sources and method: SI unit definitions for the watt (BIPM, 9th edition SI Brochure 2019). Ohm's Law (Georg Ohm, 1827). Mechanical horsepower defined as 550 ft lbf/s = 745.69987158227022 W (IEEE Std 100-2000). BTU/h conversion per NIST Special Publication 1038.
This calculator uses the standard electrical power formulas for DC and AC circuits. For AC circuits, real power depends on power factor, which varies with the load type. Consult a licensed electrician for wiring and circuit sizing decisions.
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