Battery Capacity Converter (mAh ⇄ Wh)
Inputs
| Conversion direction | mAh → Wh |
|---|---|
| Battery capacity | 10,000 mAh |
| Energy | 37 Wh |
| Nominal voltage | 3.7 V |
Battery Capacity Converter (mAh ⇄ Wh)
Convert battery capacity between mAh and Wh. Enter capacity and voltage to find energy in watt-hours, or reverse: enter Wh to get mAh.
Inputs
Results
Enter a value to see results.
Battery Capacity (mAh ⇄ Wh)
Battery capacity is commonly expressed in milliampere-hours (mAh), but watt-hours (Wh) measure the actual stored energy. Converting between the two requires knowing the nominal cell voltage. This calculator handles both directions: enter a capacity and voltage to get energy in watt-hours, or enter watt-hours and voltage to recover the milliampere-hour rating.
The conversion formula
The relationship between charge capacity and energy follows directly from the definition of electrical power:
E(Wh)=1000Q(mAh)×V(V)where is the capacity in milliampere-hours and is the nominal cell voltage in volts. Rearranging gives the inverse:
Q(mAh)=V(V)E(Wh)×1000The factor of 1000 converts milliampere-hours to ampere-hours (1 Ah = 1000 mAh), and 1 Ah × 1 V = 1 Wh.
Why mAh and Wh describe different things
Milliampere-hours measure charge — how many milliamperes of current a battery can deliver for one hour. Watt-hours measure energy — how much work the battery can do. A higher-voltage battery stores more energy per unit of charge, which is why mAh alone does not uniquely determine energy content.
Consider two power banks both rated at 10,000 mAh:
| Nominal voltage | Capacity | Energy |
|---|---|---|
| 3.7 V (Li-ion) | 10,000 mAh | 37 Wh |
| 7.4 V (two Li-ion cells in series) | 10,000 mAh | 74 Wh |
The second pack stores twice the energy despite the same mAh rating. This is why airlines and safety bodies regulate power banks in watt-hours: fire risk scales with energy, not charge.
Choosing the right nominal voltage
The nominal voltage to use depends on the cell chemistry and configuration:
- Lithium-ion (Li-ion): 3.6–3.7 V per cell. The most common chemistry in smartphones and portable electronics.
- Lithium polymer (LiPo): 3.8 V per cell. Common in thin consumer devices.
- Alkaline AA / AAA: 1.5 V nominal (1.2 V for NiMH rechargeable).
- USB output: Do not use 5 V for this calculation. Power banks boost the internal 3.7 V cell to 5 V at the USB port, and conversion losses mean that the 5 V figure overstates the usable cell energy.
The value to use is the cell nominal voltage, which is printed on the internal battery label or listed in the product specification sheet.
Worked example
A power bank lists its capacity as 20,000 mAh. The internal cell voltage is 3.7 V. Is it within the IATA 100 Wh carry-on limit?
E=1000Q×V=100020,000mAh×3.7V=74WhAt 74 Wh, this power bank is well within the 100 Wh IATA limit and can be carried on without advance airline approval.
Airline carry-on limits
The International Air Transport Association (IATA) Dangerous Goods Regulations set the following limits for lithium battery power banks carried in cabin baggage:
- Up to 100 Wh: permitted without approval, limit of two spare batteries per person.
- 100–160 Wh: permitted with airline approval, limit of two spare batteries.
- Above 160 Wh: not permitted in cabin or checked baggage for personal use.
Individual airlines may apply stricter limits, so confirm with your carrier before travel.
Limitations of this calculator
This calculator assumes 100% energy conversion efficiency and uses a single nominal voltage for the entire discharge. In practice, actual usable energy is lower due to:
- Internal resistance losses during discharge.
- Voltage sag at the end of the discharge cycle.
- Temperature effects on cell chemistry.
- Boost converter losses when stepping up from cell voltage (3.7 V) to USB output voltage (5 V).
Manufacturers typically rate power bank output capacity at the USB port, which accounts for some of these losses. Internal cell capacity (in mAh at cell voltage) and rated output capacity (in mAh at 5 V output) can therefore differ by 15–25%.
Frequently Asked Questions (FAQ)
Why do airlines regulate power banks in watt-hours instead of mAh?
Airlines use watt-hours (Wh) because it measures actual stored energy regardless of voltage. The same 10,000 mAh capacity holds different amounts of energy depending on the cell voltage — a 3.7 V lithium cell stores 37 Wh, while a 7.4 V pack stores 74 Wh.
International Air Transport Association (IATA) regulations limit carry-on power banks to 100 Wh per device (up to 160 Wh with airline approval) because fire risk scales with energy, not charge alone.
What voltage should I use when converting my power bank capacity?
Use the nominal cell voltage printed on the battery or in the product specification sheet. Most lithium-ion power banks use 3.6–3.7 V cells; lithium polymer (LiPo) packs are rated at 3.8 V. If the product only lists total watt-hours, divide by the rated voltage to recover mAh. Avoid using the USB output voltage (5 V) for this calculation — that includes conversion losses from the internal boost converter.
How do I convert watt-hours back to mAh?
Rearrange the formula: mAh = (Wh × 1000) ÷ V. For example, a 37 Wh battery at 3.7 V has a capacity of (37 × 1000) ÷ 3.7 = 10,000 mAh. Switch to "Wh → mAh" mode above, enter the energy value and voltage, and the calculator handles this automatically.
Recommended Next
Energy Converter
Convert energy between joules, kilojoules, kilocalories, watt-hours, kilowatt-hours, BTU, and electronvolts. Covers nutrition, electricity bills, and physics.