Watt-hours and amp-hours: what's the difference?
These two units describe a battery from different angles, and mixing them up is the single most common mistake in off-grid and battery sizing.
Amp-hours (Ah) measure electric charge — how much current a battery can supply for how long, regardless of voltage. A 100 Ah battery can deliver 100 amps for one hour, or 5 amps for twenty hours.
Watt-hours (Wh) measure energy — and energy is what actually runs your appliances. Because energy depends on voltage, watt-hours are the only fair way to compare two batteries at different voltages.
The conversion formula
Wh = Ah × V and Ah = Wh ÷ V
That's the whole thing. The voltage is the bridge between the two. For milliamp-hours, divide by 1000 first: Wh = (mAh ÷ 1000) × V
Kilowatt-hours are the same energy on a bigger scale — just watt-hours ÷ 1000. So to convert amp hours to kWh you go kWh = (Ah × V) ÷ 1000 and to go from kWh to Ah you reverse it: Ah = (kWh × 1000) ÷ V The kWh field above stays in step with everything else, so it doubles as an Ah–kWh calculator in both directions.
Why voltage matters so much
This is where intuition fails people. Look at two batteries both rated 100 Ah:
- 100 Ah at 12 V = 1,200 Wh
- 100 Ah at 24 V = 2,400 Wh
Same amp-hours, but the 24 V battery stores twice the energy. This is exactly why larger off-grid systems run at 24 V or 48 V — at higher voltage you move the same energy with less current, which means thinner wires, smaller fuses and lower losses. If someone quotes you a battery in amp-hours without a voltage, the number is meaningless on its own.
A worked example
You have a 12 V LiFePO4 battery rated 100 Ah and want to know its energy and how much you can actually use.
- Rated energy: 100 Ah × 12 V = 1,200 Wh
- At 80% usable DoD: 1,200 × 0.80 = 960 Wh usable
- That same 960 Wh is 80 Ah of usable charge at 12 V
So a "100 Ah" battery realistically gives you about 960 Wh of work — enough to run a 40 W laptop charger and lights for the evening, or a 12 V fridge averaging 40 W for roughly a day.
Common voltage reference
| Battery / device | Nominal voltage |
|---|---|
| Single lithium-ion / Li-po cell | 3.6–3.7 V |
| USB power bank (cell rating) | 3.7 V |
| Car / lead-acid "12V" | 12 V |
| LiFePO4 "12V" (4 cells) | 12.8 V |
| Larger off-grid bank | 24 V or 48 V |
Power banks are usually advertised at the 3.7 V cell voltage. That's why a "20,000 mAh" bank only charges a phone (whose battery is also ~3.7 V) two to three times rather than the four you might expect — the 5 V USB output and conversion losses eat into the rated 74 Wh.