Electrical units and conversion
Amp-hours to watt-hours converter
How do you convert amp-hours to watt-hours?
Watt-hours = amp-hours × nominal voltage. A 100 Ah battery holds 1,200 Wh at 12 V, 2,400 Wh at 24 V and 5,120 Wh at 51.2 V. This is the direction that matters most in practice: a 100 Ah 12 V battery and a 100 Ah 48 V battery share a headline number while storing four times different energy, and only the watt-hour figure exposes that. The arithmetic is exact, and it describes nominal stored energy, not the energy an inverter will deliver.
Your inputs
Use the nominal voltage on the label, not the fully charged or resting voltage. The conversion is only as meaningful as this number.
1,200.0 Wh
at 12.0 V nominal
100.00 Ah × 12.0 V. Watt-hours measure energy, which is what runtime and cost calculations need.
- Watt-hours
- 1,200.0 Wh
- Amp-hours
- 100.00 Ah
- Nominal voltage
- 12.0 V
- Kilowatt-hours
- 1.200 kWh
Round-trip check
Method
- Wh = Ah × V
- Wh = 100.00 × 12.0 = 1,200.0000 Wh
This converter changes units. It does not tell you how much energy you can actually take out of the battery.
Assumptions
- The voltage you entered is treated as the pack's nominal voltage across the whole discharge.
- The conversion is pure arithmetic: no depth of discharge, inverter efficiency, temperature or discharge-rate effect is applied.
- Displayed values are rounded; the arithmetic above is carried at full precision.
What can change the result?
- Actual terminal voltage, which falls through the discharge and rises while charging
- Chemistry: a lead-acid amp-hour rating is quoted at a slow discharge rate and shrinks at high current
- Whether the label figure is nominal capacity or usable capacity
Amp-hour ratings across the common system voltages
Read across a row to see how little an amp-hour rating tells you on its own. Every figure in the row describes a battery advertised with the same number on the front.
| Amp-hours | 12 V | 24 V | 48 V | 51.2 V |
|---|---|---|---|---|
| 20 Ah | 240 Wh | 480 Wh | 960 Wh | 1,024 Wh |
| 50 Ah | 600 Wh | 1,200 Wh | 2,400 Wh | 2,560 Wh |
| 100 Ah | 1,200 Wh | 2,400 Wh | 4,800 Wh | 5,120 Wh |
| 200 Ah | 2,400 Wh | 4,800 Wh | 9,600 Wh | 10,240 Wh |
| 280 Ah | 3,360 Wh | 6,720 Wh | 13,440 Wh | 14,336 Wh |
| 400 Ah | 4,800 Wh | 9,600 Wh | 19,200 Wh | 20,480 Wh |
Where this conversion is used, and where it misleads
Watt-hours are the unit every downstream calculation actually wants. Runtime is watt-hours divided by load watts; cost is kilowatt-hours times a rate. Amp-hours cannot enter either formula until they have been multiplied by a voltage, which is why an amp-hour figure quoted without its voltage is not a specification at all.
The misleading part is treating the result as available energy. A 1,200 Wh lead-acid battery held to a 50% depth of discharge offers 600 Wh before you have accounted for the inverter; the same nominal figure in lithium iron phosphate at 90% depth of discharge offers 1,080 Wh. Both are still “100 Ah at 12 V”. The runtime calculator applies those losses explicitly rather than folding them into the conversion.
Your next decision
- Convert watt-hours back to amp-hoursThe exact inverse, at the same stated voltage.
- Turn watt-hours into runtime at your loadDepth of discharge and inverter efficiency applied openly.
- Size a pack from the hours you needWorks backwards from target runtime to nominal capacity.
- Why nominal capacity is never delivered in fullThe gap between the label and the outlet, quantified.
Electrical units and conversion
- Watts to amps calculatorWatts ÷ (volts × power factor), and why a motor breaks the simple version.
- Refrigerator ampsThree correct answers — running, surge and average — and when each one applies.
- BTU to wattsBtu/h is cooling capacity; watts drawn depend on efficiency, not on 3.412.
- Ah → kWhAmp-hours and voltage to stored energy — exact conversion.
- kWh → AhStored energy back to amp-hours at your system voltage.
- Wh → AhWh ÷ V, with the voltage that makes the answer meaningful.