Amps to Watts Converter

Converting amps to watts is essential when you’re working with electrical appliances, wiring circuits, or comparing power ratings. Amps measure current flow whilst watts represent actual power consumption. This converter handles DC circuits, single-phase AC (like your home sockets), and three-phase AC (common in industrial settings).

A
V

Quick Conversions (DC at 12V)

1A × 12V
12W
5A × 12V
60W
10A × 12V
120W
13A × 230V AC
2,990W

Amps to Watts Conversion Chart

These common conversions show how amps translate to watts at standard UK voltages. Domestic circuits typically run at 230V, whilst automotive and marine applications use 12V DC.

Current (A) Voltage (V) Power (W) Common Application
1 230 230 LED bulb, phone charger
3 230 690 Laptop, small TV
5 230 1,150 Microwave oven
10 230 2,300 Electric heater, kettle
13 230 2,990 Maximum UK plug rating
10 12 120 Car spotlight
20 12 240 Automotive inverter
50 400 20,000 Industrial motor (3-phase)

How the Maths Works

The relationship between amps, volts, and watts comes from Ohm’s Law and basic electrical principles. Here’s how to work it out depending on your circuit type.

DC Circuits

DC Formula
Power (W) = Current (A) × Voltage (V)

Straightforward multiplication. If you’ve got 5 amps flowing through a 12-volt battery, that’s 5 × 12 = 60 watts.

Single-Phase AC Circuits

AC Single-Phase Formula
Power (W) = Current (A) × Voltage (V) × Power Factor

AC circuits need power factor because voltage and current don’t always peak at the same time. Most household appliances have a power factor between 0.9 and 1.0. Your kettle pulling 10A at 230V with a power factor of 0.95 consumes 10 × 230 × 0.95 = 2,185 watts.

Three-Phase AC Circuits

AC Three-Phase Formula
Power (W) = √3 × Current (A) × Voltage (V) × Power Factor
or: Power (W) = 1.732 × Current (A) × Voltage (V) × Power Factor

Three-phase systems are more efficient for heavy machinery. The √3 factor (approximately 1.732) accounts for the three power lines. A 30A industrial motor running at 400V with a power factor of 0.85 uses 1.732 × 30 × 400 × 0.85 = 17,666 watts.

Worked Examples

Home Appliances

Your washing machine draws 7 amps from a UK socket (230V AC, power factor 0.9). The power consumption is 7 × 230 × 0.9 = 1,449 watts. That’s roughly 1.45 kilowatts per hour when running.

Car Electronics

A car stereo amplifier pulling 15 amps from your 12V battery uses 15 × 12 = 180 watts. This helps you size the correct fuse and wiring gauge.

Workshop Equipment

A three-phase compressor rated at 20A on a 400V supply with power factor 0.88 consumes 1.732 × 20 × 400 × 0.88 = 12,209 watts, or about 12.2 kilowatts.

Why It Matters

Knowing the wattage helps you avoid overloading circuits and tripping breakers. UK ring mains typically handle 32 amps, giving you about 7,360 watts capacity per circuit. If you’re running multiple high-current appliances, you’ll want to spread them across different sockets.

For solar panels and battery systems, this conversion is crucial. A 200-watt solar panel connected to a 12V battery will supply roughly 16.7 amps under ideal conditions (200W ÷ 12V = 16.7A).

What About Power Factor?

Power factor represents how efficiently AC equipment converts current into usable power. Resistive loads like kettles and heaters have a power factor near 1.0. Motors, fluorescent lights, and equipment with transformers typically range from 0.7 to 0.95.

Poor power factor means you’re drawing more current than necessary, which can increase electricity costs for businesses. Most household bills don’t penalise low power factor, but industrial users often face surcharges.

FAQs

What’s the difference between amps and watts?
Amps measure current flow (how much electricity is moving), whilst watts measure power consumption (how much work is being done). Think of amps as water flow rate and watts as the actual pressure and volume combined.
Can I convert amps to watts without knowing voltage?
No, you must know the voltage. The same current at different voltages produces different power levels. One amp at 12V is only 12 watts, but one amp at 230V is 230 watts.
Why do UK plugs have a 13A limit?
British Standard BS 1363 sets the 13A maximum for safety. At 230V, that’s 2,990 watts maximum per socket. Higher-power appliances need dedicated circuits with appropriate breakers.
Do I need to worry about power factor at home?
Not usually. Domestic electricity meters measure actual consumption, not apparent power. Power factor mainly affects large industrial users who face penalty charges for inefficient loads.
How do I find an appliance’s power factor?
Check the manufacturer’s specifications. If unavailable, use 0.9 as a reasonable estimate for most household equipment. Older motors and transformers might be as low as 0.7-0.8.
What happens if I overload a circuit?
The circuit breaker trips to prevent overheating and fire risk. UK consumer units protect circuits at ratings like 6A (lighting), 16A (immersion heaters), or 32A (ring mains). Never bypass safety devices.
Can I use these formulas for batteries?
Yes, batteries are DC sources, so use the simple formula: watts = amps × voltage. A 100Ah battery at 12V stores 1,200 watt-hours of energy (100 × 12 = 1,200).
Why does three-phase use √3 in the formula?
Three-phase systems have three conductors each carrying current, but they’re offset by 120 degrees. The √3 (approximately 1.732) accounts for this phase relationship when calculating total power.

Units Of Power Conversions

References

  • British Standards Institution. (2016). BS 7671:2018+A2:2022 – Requirements for Electrical Installations. IET Wiring Regulations. London: BSI Standards Limited.
  • Electrical Safety First. (2024). Electrical Safety Standards and Guidance for UK Domestic Installations. Retrieved from https://www.electricalsafetyfirst.org.uk/
  • International Electrotechnical Commission. (2021). IEC 60050 – International Electrotechnical Vocabulary. Geneva: IEC.
  • Energy Saving Trust. (2024). Understanding Your Electricity Consumption. London: Energy Saving Trust.
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