How to convert amp-hours to watt-hours
Multiply the amp-hours by the battery voltage:
Wh = Ah × V
Example: a 24 V 200 Ah battery bank stores 200 × 24 = 4,800 Wh, or 4.8 kWh. For milliamp-hours, divide by 1,000 first, or use the mAh to Wh calculator.
How to convert watt-hours to amp-hours
Divide the watt-hours by the voltage:
Ah = Wh ÷ V
Ah = kWh × 1,000 ÷ V
Example: a 2,048 Wh LiFePO4 power station built on a 12.8 V battery holds 2,048 ÷ 12.8 = 160 Ah. The voltage must be the battery’s own voltage, not the 120 V or 230 V of the AC outlets.
Ah to Wh conversion chart
Watt-hours for common battery sizes at the nominal voltages they are sold at. 12.8 V and 51.2 V are the real voltages of “12 V” and “48 V” LiFePO4 batteries.
| Capacity | 12 V | 12.8 V | 24 V | 48 V | 51.2 V |
|---|---|---|---|---|---|
| 7 Ah | 84 Wh | 90 Wh | 168 Wh | 336 Wh | 358 Wh |
| 9 Ah | 108 Wh | 115 Wh | 216 Wh | 432 Wh | 461 Wh |
| 20 Ah | 240 Wh | 256 Wh | 480 Wh | 960 Wh | 1,024 Wh |
| 50 Ah | 600 Wh | 640 Wh | 1,200 Wh | 2,400 Wh | 2,560 Wh |
| 100 Ah | 1,200 Wh | 1,280 Wh | 2,400 Wh | 4,800 Wh | 5,120 Wh |
| 150 Ah | 1,800 Wh | 1,920 Wh | 3,600 Wh | 7,200 Wh | 7,680 Wh |
| 200 Ah | 2,400 Wh | 2,560 Wh | 4,800 Wh | 9,600 Wh | 10,240 Wh |
| 280 Ah | 3,360 Wh | 3,584 Wh | 6,720 Wh | 13,440 Wh | 14,336 Wh |
| 300 Ah | 3,600 Wh | 3,840 Wh | 7,200 Wh | 14,400 Wh | 15,360 Wh |
kWh to Ah chart for home and solar batteries
Home batteries are rated in kilowatt-hours. This is the same capacity in amp-hours at each system voltage.
| Energy | 12 V | 24 V | 48 V | 51.2 V |
|---|---|---|---|---|
| 1 kWh | 83 Ah | 42 Ah | 21 Ah | 20 Ah |
| 2.5 kWh | 208 Ah | 104 Ah | 52 Ah | 49 Ah |
| 5 kWh | 417 Ah | 208 Ah | 104 Ah | 98 Ah |
| 10 kWh | 833 Ah | 417 Ah | 208 Ah | 195 Ah |
| 13.5 kWh | 1,125 Ah | 563 Ah | 281 Ah | 264 Ah |
| 15 kWh | 1,250 Ah | 625 Ah | 313 Ah | 293 Ah |
Why compare batteries in watt-hours
Amp-hours only compare batteries of the same voltage. A 24 V 100 Ah battery stores twice the energy of a 12 V 100 Ah battery, though both say “100 Ah”. Watt-hours measure energy directly, so they let you compare a 12 V RV battery, a 48 V home battery and a portable power station on equal terms, and they plug straight into a runtime estimate: runtime (h) ≈ usable Wh ÷ load (W).
- Rated is not usable. The Wh figure is the rated capacity. You can use about 90% of it from LiFePO4 and about 50% from lead-acid if you want it to last.
- Series adds volts, parallel adds amp-hours. Two 12 V 100 Ah batteries hold 2,400 Wh whichever way they are wired: 24 V 100 Ah in series or 12 V 200 Ah in parallel.
Once you have watt-hours, the battery runtime calculator tells you how long they will run a load, and the battery capacity calculator works out how many you need. The method is on how battery runtime is calculated.