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SolarSystemCalc

Wh to Ah Calculator (Watt-Hours to Amp-Hours)

Know how much energy you need in watt-hours and want a battery rating in amp-hours? Enter Wh and the system voltage to get the Ah figure to shop for.

Wh
Ah
V

Nominal voltage: 12 V, 12.8 V (LiFePO4), 24 V, 48 V, 51.2 V…

2,400 Wh = 200 Ah

With your numbers

2,400 Wh ÷ 12 V = 200 Ah

Formula: Ah = Wh ÷ Volts

Formula

WhAh
Ah = Wh ÷ Volts
AhWh
Wh = Ah × Volts

Worked examples

  1. Example 1

    2,400 Wh at 12 V

    Given: 2,400 Wh, 12 V

    Ah = 2,400 ÷ 12

    Answer: 200 Ah.

  2. Example 2

    Same energy at 48 V

    Given: 2,400 Wh, 48 V

    Ah = 2,400 ÷ 48

    Answer: 50 Ah – higher voltage means fewer amp-hours and thinner cables.

  3. Example 3

    10 kWh home battery at 51.2 V

    Given: 10,000 Wh, 51.2 V

    Ah = 10,000 ÷ 51.2

    Answer: 195 Ah.

  4. Example 4

    Reverse: 150 Ah at 24 V

    Given: 150 Ah, 24 V

    E = 150 × 24

    Answer: 3,600 Wh (3.6 kWh).

When you need this conversion

Portable power stations, solar generators, and lithium packs are usually rated in watt-hours (Wh), but wiring, fuses, charge controllers, and older 12 V equipment are specified in amps or amp-hours. Converting Wh to Ah lets you check whether a battery can deliver enough current, size a fuse or breaker correctly, or compare a lithium power station against a traditional lead-acid bank.

The formula in plain terms

Amp-hours equal watt-hours divided by voltage: Ah = Wh divided by V. This is the inverse of the Ah-to-Wh formula and follows directly from power equals current times voltage. Always use the nominal voltage of the specific battery or system, since a 12 V battery and a 48 V battery holding the same Wh have very different Ah ratings.

Common Wh to Ah values

What 12 Vat 24 Vat 48 V
500 Wh41.7 Ah20.8 Ah10.4 Ah
1,000 Wh83.3 Ah41.7 Ah20.8 Ah
2,000 Wh166.7 Ah83.3 Ah41.7 Ah

Practical tips

Match voltage to the actual output

Many portable power stations step voltage up or down internally, so the Ah rating only makes sense at the specific output voltage you plan to use, such as a 12 V accessory port.

Use Ah for wiring and fuse sizing

Once you know the Ah or peak amp draw, you can size wiring and fuses correctly using a wire size calculator, since undersized cable on a high-current 12 V or 24 V circuit is a common fire risk in solar setups.

Remember usable capacity is lower than rated capacity

The Ah figure from this formula reflects total nominal capacity. Real-world usable capacity is reduced by depth-of-discharge limits and inverter or converter losses, so build in a safety margin when sizing a system around a target runtime.

Related tools

Frequently asked questions

How do I convert Wh to Ah?

Divide watt-hours by voltage: Ah = Wh divided by V. A 1,200 Wh battery at 12 V nominal equals 100 Ah.

Why convert Wh to Ah instead of just using Wh?

Battery capacity, charge controller current ratings, and cable sizing are usually specified in amps or amp-hours, so converting from Wh to Ah is necessary when matching a power station or portable battery to existing 12 V or 24 V equipment.

What voltage do I use if my system has multiple voltages?

Use the voltage at the point you are measuring, such as the battery's nominal voltage for battery capacity or the panel's operating voltage for solar current calculations. Mixing voltages in one calculation gives an incorrect result.

Do portable power stations list Wh or Ah?

Most portable power stations and solar generators list total capacity in Wh because they contain internal voltage converters, so the Ah figure only applies to the specific output voltage you are drawing from.

Does higher voltage mean lower Ah for the same Wh?

Yes. For a fixed Wh capacity, doubling the voltage halves the equivalent Ah, since Ah equals Wh divided by V.