Watt Calculator

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.

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Standard formula  Ohm's Law and the Power Triangle: P = VI, P = I²R, P = V²/R (SI units).

1. Calculation Method

V
A

2. Circuit Type

DC power: P = V x I (exact)

Power Result

Watts
1,150
W
Kilowatts
1.150
kW
Milliwatts
1,150,000
mW
Horsepower
1.542
hp (mechanical)

Calculation Breakdown

Formula usedP = V x I
Voltage (V)230 V
Current (I)5 A
Resistance (R)46 Ω
Circuit typeDC
Power factorN/A
Real power1,150 W

Worked Example

InputsV = 230 V, I = 5 A
FormulaP = V x I
Calculation230 x 5
Result= 1,150 W
A household circuit at 230 V drawing 5 A delivers 1,150 W (1.15 kW) of power.
Summary: Enter values above to calculate power.

Enter a Power Value

W

Amps / Volts Quick-Convert

Enter watts and voltage to find current, or watts and current to find voltage.

W
V
Current: 4.35 A  |  Resistance: 52.9 Ω

Conversion Results

UnitSymbolValue

How the Watt Calculator Works

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.

Power Unit Conversions

UnitSymbolEqual to Watts
MilliwattmW0.001 W
WattW1 W
KilowattkW1,000 W
MegawattMW1,000,000 W
Horsepower (mechanical)hp745.69987 W
BTU per hourBTU/h0.29307107 W
Calorie per secondcal/s4.1868 W

Common Appliance Wattages

New Zealand mains supply is 230 V AC at 50 Hz. The following typical wattages help put the calculator results in context:

ApplianceTypical WattageCurrent at 230 V
LED light bulb8 to 15 W0.03 to 0.07 A
Laptop45 to 90 W0.20 to 0.39 A
Television (55")80 to 150 W0.35 to 0.65 A
Refrigerator100 to 250 W0.43 to 1.09 A
Microwave700 to 1,200 W3.0 to 5.2 A
Electric jug / kettle2,000 to 2,400 W8.7 to 10.4 A
Heat pump (heating)800 to 2,000 W3.5 to 8.7 A
Electric shower7,000 to 10,500 W30 to 46 A
EV charger (home, 7 kW)7,000 W30 A

Worked Example

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).

AC Power and Power Factor

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.

Three-Phase Power

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).

Related Calculators

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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