Watts to Amps Calculator
This watts to amps calculator converts between watts and amps for DC and AC circuits. Includes power factor input and an appliance reference table.
Convert between watts and amps for DC, single-phase AC, and three-phase AC circuits. Enter voltage and either watts or amps, and the calculator solves for the missing value using the correct formula for your circuit type. Includes power factor for AC and a reference table of common appliance wattages.
About Watts to Amps Calculator
The Formulas Behind Watts, Amps, and Volts
The relationship between these three electrical units is governed by Ohm's Law and the power equation. The formulas differ by circuit type:
| Circuit Type | Watts to Amps | Amps to Watts |
|---|---|---|
| DC | Amps = Watts / Volts | Watts = Amps x Volts |
| Single-phase AC | Amps = Watts / (Volts x PF) | Watts = Amps x Volts x PF |
| Three-phase AC | Amps = Watts / (Volts x PF x 1.732) | Watts = Amps x Volts x PF x 1.732 |
PF is the power factor (explained below). The 1.732 in three-phase formulas is the square root of 3, which accounts for the phase relationship between three power lines.
Worked example (DC): A 12V battery powering a 60W light bulb draws 60 / 12 = 5 amps.
Worked example (single-phase AC): A 2,000W heater on a 240V circuit with power factor 1.0 draws 2000 / (240 x 1.0) = 8.33 amps.
Worked example (three-phase AC): A 15,000W industrial motor on 415V three-phase with PF 0.85 draws 15000 / (415 x 0.85 x 1.732) = 24.6 amps.
What Is Power Factor?
Power factor is a number between 0 and 1 that measures how efficiently an AC device uses electrical power. A power factor of 1.0 means all the power delivered is being used productively (pure resistance, like a heater or incandescent bulb). Lower values mean some power is wasted oscillating between the source and the load.
This matters because it increases the current draw. A 1,000W motor with PF 0.8 draws 1000 / (240 x 0.8) = 5.21 amps, compared to 4.17 amps if PF were 1.0. That is 25% more current for the same useful power output.
| Device Type | Typical Power Factor |
|---|---|
| Resistive heaters, incandescent bulbs, kettles | 0.95 - 1.00 |
| LED lighting, computers, TVs | 0.90 - 0.99 (with PFC) |
| Mixed household loads | 0.80 - 0.90 |
| Electric motors (induction) | 0.70 - 0.90 |
| Fluorescent lighting (old magnetic ballast) | 0.50 - 0.65 |
| Unloaded transformers | 0.10 - 0.30 |
If you are unsure what power factor to use, 0.85 is a reasonable default for typical mixed household or small commercial loads.
Common Household Appliance Reference
Knowing the wattage of common devices helps you calculate amp draw and avoid overloading circuits.
| Appliance | Typical Watts | Amps at 120V | Amps at 240V |
|---|---|---|---|
| LED light bulb | 10W | 0.08A | 0.04A |
| Laptop charger | 65W | 0.54A | 0.27A |
| Television (55") | 100W | 0.83A | 0.42A |
| Microwave | 1,000W | 8.33A | 4.17A |
| Hairdryer | 1,500W | 12.5A | 6.25A |
| Electric kettle | 1,800W (UK) / 1,500W (US) | 12.5A | 7.5A |
| Electric oven | 2,500W | 20.8A | 10.4A |
| Portable heater | 1,500W | 12.5A | 6.25A |
| Washing machine | 500W | 4.17A | 2.08A |
| Electric car charger (Level 2) | 7,200W | - | 30A |
Note: US standard household circuits are 120V/15A or 120V/20A. UK standard is 230V/13A per socket (32A ring main). These limits are why US kettles boil slower - they are limited to about 1,500W versus 3,000W in the UK.
Why Amps Matter More Than Watts for Safety
Circuit breakers and fuses are rated in amps, not watts. A 15A breaker trips when current exceeds 15 amps regardless of the voltage or wattage. This is why calculating amp draw is essential for:
- Circuit loading: Adding up the amp draw of all devices on a circuit. Under NEC 210.19(A)(1), a continuous load (three hours or more) on a standard 80%-rated breaker must not exceed 80% of the breaker's amp rating - so a 20A breaker is limited to 16A continuous, and a 15A breaker to 12A.
- Wire sizing: Higher amps require thicker wire. Per NEC Table 310.16 (75 °C copper column): 14 AWG for 15A, 12 AWG for 20A, 10 AWG for 30A, 8 AWG for 40A, 6 AWG for 55A.
- Extension cord selection: An extension cord rated for 10A will overheat and create a fire hazard if you draw 15A through it. Length matters too - a 100ft 16 AWG cord loses about 3V at 10A, which can drop motor torque noticeably.
- Generator sizing: Generators are rated in watts but limited by amps per circuit. A 5,000W generator at 120V can supply about 41.7A total, but split across two 120V legs it's 20.8A per leg.
- Breaker selection: The breaker must match the wire gauge. Never replace a tripping breaker with a higher-rated one without also upgrading the wire - this is one of the most common causes of electrical fires investigated by the US Consumer Product Safety Commission.
DC vs AC: What Is the Difference?
DC (direct current) flows in one direction at a constant voltage. Batteries, solar panels, USB chargers, and car electrical systems all use DC. The power calculation is straightforward: P = V x I.
AC (alternating current) reverses direction 50 or 60 times per second (50Hz in the UK/Europe, 60Hz in the US). This is what comes out of wall sockets. Because the voltage and current are constantly changing direction, AC introduces the concept of power factor, which makes the real power calculation more complex.
Three-phase AC uses three power lines, each offset by 120 degrees. It is standard for industrial equipment, large motors, and commercial buildings because it delivers more power with less copper and produces smoother torque in motors. The square root of 3 (1.732) in the formula accounts for the combined effect of the three phases. A rough rule: moving the same kW from single-phase to three-phase cuts the amps per conductor by about 42%, which is why factories and data centres use it.
UK vs US vs Europe: Voltage Standards Compared
Mains voltage and frequency vary by region, and the watts-to-amps result depends on which standard you plug into. The table below summarises the common residential supplies.
| Region | Nominal Voltage | Frequency | Typical Socket Rating | Amps for 3,000W Kettle |
|---|---|---|---|---|
| UK | 230V (formerly 240V) | 50 Hz | 13A per socket, 32A ring final | 13.0A |
| Europe (CENELEC) | 230V | 50 Hz | 16A Schuko | 13.0A |
| US residential | 120V / 240V split-phase | 60 Hz | 15A or 20A at 120V, 30-50A at 240V | 25.0A at 120V, not allowed on 15A |
| Japan | 100V | 50 / 60 Hz (split) | 15A or 20A | 30A at 100V, needs a dedicated circuit |
| Australia / NZ | 230V | 50 Hz | 10A per socket | 13.0A, near socket limit |
This is the practical reason kettles boil in under two minutes in the UK but take three or four minutes in the US: at 120V, a standard 15A circuit tops out around 1,440W continuous, so US kettles are deliberately derated to about 1,500W. UK sockets deliver more than double that power on the same 13A current rating because the voltage is nearly twice as high.
Common Mistakes When Sizing Circuits
These are the errors that show up most often in electrical inspections and insurance claims.
- Forgetting the continuous-load rule. EV chargers, space heaters, and pool pumps run for more than three hours at a time. NEC 210.19 requires the breaker and wire to be sized for 125% of that continuous current. A 30A continuous load needs a 40A circuit.
- Using apparent power when real power is needed. Watts is real power; volt-amps (VA) is apparent power. With a power factor below 1.0, VA is always higher than W. Generator and UPS ratings are usually quoted in VA, so derate by the PF of the load to find the actual watts available.
- Ignoring inrush current. Motors and compressors can draw 5-7 times their running current for the first second of start-up. A 10A running motor can briefly pull 60-70A. Breakers on motor circuits use time-delay (Type D or magnetic-only) curves to tolerate this.
- Mixing line-to-line and line-to-neutral voltage on three-phase. UK three-phase is 400V line-to-line and 230V line-to-neutral. US three-phase is commonly 208V or 480V line-to-line. Always use line-to-line voltage in the three-phase formula with the square-root-of-3 factor.
- Treating peak power as sustained power. A microwave labelled "1,100W" usually means 1,100W of cooking output; its electrical input is closer to 1,650W. Always use the nameplate input wattage for circuit calculations, not the cooking or output rating.
- Derating for ambient temperature. NEC Table 310.15(B)(2)(a) applies correction factors for conductors run through attics, conduit in direct sun, or bundled with other cables. At 40 °C ambient on a 75 °C-rated wire, the ampacity drops to about 88% of the table value, which can be enough to push a circuit over its limit.
- Assuming aluminium wire has the same ampacity. Aluminium conductors carry roughly 78% of the current a copper conductor of the same gauge can - a 10 AWG copper wire is rated 30A, but 10 AWG aluminium is rated 25A. Aluminium is still used for service entrance and feeder runs, but never mix metals at a single terminal.
To estimate running costs for your appliances, the electricity cost calculator takes wattage and hours of use. For home heating calculations, the BTU calculator helps size heating and cooling systems. If you are planning an EV install, the EV charging cost calculator estimates charging times and costs on common charger amperages.
All calculations run in your browser. No data is sent to any server.
Sources
- NFPA 70 - National Electrical Code (NEC)
- NEC 210.19(A)(1) - Branch Circuit Conductor Sizing
- NEC Table 310.16 - Allowable Ampacities
- IET BS 7671 - UK Wiring Regulations
- US Consumer Product Safety Commission - Electrical Safety
- IEC - World Plugs and Mains Voltage Standards
- US DOE - Appliance Energy Use Reference
Frequently Asked Questions
What is the formula for converting watts to amps?
For DC circuits, amps = watts / volts. For single-phase AC, amps = watts / (volts x power factor). For three-phase AC, amps = watts / (volts x power factor x square root of 3). The power factor accounts for the phase difference between voltage and current in AC circuits.
What is power factor and what value should I use?
Power factor is a number between 0 and 1 that represents how efficiently electrical power is being used in an AC circuit. A power factor of 1.0 means all power is being used effectively. Typical residential loads have a power factor around 0.8 to 0.95. If you are unsure, 0.85 is a reasonable default for mixed household loads.
What is the difference between DC and AC power calculations?
DC (direct current) flows in one direction and the calculation is straightforward - watts equals volts times amps. AC (alternating current) changes direction periodically, which introduces power factor into the equation. Single-phase AC is typical in homes, while three-phase AC is used in industrial and commercial settings.
Why do I need to know amps for my electrical circuits?
Knowing the amperage draw of devices helps you select the correct wire gauge, choose appropriately rated circuit breakers, and avoid overloading circuits. For example, a standard US household circuit is rated for 15 or 20 amps, so knowing your device draws 12 amps tells you it can safely run on that circuit.
Can I use this calculator for three-phase power systems?
Yes. Select the three-phase AC option, enter the line-to-line voltage, wattage, and power factor. The calculator applies the three-phase formula which includes the square root of 3 (approximately 1.732) multiplier. This is commonly used for industrial motors, large HVAC systems, and commercial equipment.
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