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400Wh to Ah — 33.3 Ah at 12V

400 Wh is 33.3 Ah at 12V, 16.7 Ah at 24V, and 8.3 Ah at 48V. Below: usable energy per chemistry, what it runs, and which module count gets you there.

400 Wh at 12V is 33.3 Ah of battery capacity.

Formula: Ah = Wh ÷ V. Divide by the nominal battery voltage of the bank, not by the charger voltage.

V
1V60V
Wh
0Wh50kWh

Result

Capacity (Ah)
33.3 Ah
@ 12V
In Kilowatt-Hours
0.40 kWh
Ah = Wh ÷ V = 400 ÷ 12 = 33.3 Ah

Energy in Wh equals capacity in Ah multiplied by battery voltage. 1000 Wh equals 1 kWh.

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V
12V
Input
400Wh
Output
33.3Ah
kWh
0.40kWh

At every system voltage

The same capacity stores four times the energy at 48V that it does at 12V, and draws a quarter of the current for the same load.

System voltageCapacityEnergykWh
12 V33.3 Ah400 Wh0.4
24 V16.7 Ah400 Wh0.4
48 V8.3 Ah400 Wh0.4

How much of it you can actually use

Nameplate energy is not usable energy. Depth of discharge caps what you may take out before you damage the battery, and it differs by chemistry.

ChemistryDepth of dischargeUsable energyUsable capacityCycles at that DoD
LiFePO480 %320 Wh26.7 Ah~3,500
AGM50 %200 Wh16.7 Ah~600
Gel50 %200 Wh16.7 Ah~800
Flooded lead-acid50 %200 Wh16.7 Ah~400

What that runs

Runtime from the usable LiFePO4 energy at 12V (80% depth of discharge), one load at a time, no inverter losses on the DC rows.

LoadPowerRuntime
LED lighting15 W21.3 h
12V compressor fridge (average)45 W7.1 h
Diesel heater (fan and glow plug average)30 W10.7 h
Water pump (while running)65 W4.9 h
Laptop plus router75 W4.3 h
Kettle through an inverter1200 W0.3 h

What this size is in practice

400Wh is the point where a power station can carry a 45W fridge through a night with a little margin. In battery terms it is a 33Ah 12V block - or a third of a standard 100Ah module.

Building the same energy from standard modules

How many standard 100Ah 12V modules add up to this energy, and what capacity that becomes at each system voltage.

System voltageCapacityStandard modules
12 V33.3 Ah1 x 100Ah / 12V
24 V16.7 Ah1 x 100Ah / 12V
48 V8.3 Ah1 x 100Ah / 12V

Other energy values (Wh)

Other capacities (Ah)

FAQ

How many Ah is 400 Wh?

400 Wh is 33.3 Ah at 12V, 16.7 Ah at 24V, and 8.3 Ah at 48V. Divide the watt-hours by the nominal battery voltage: Ah = Wh ÷ V.

How much of that 400 Wh can I use?

On LiFePO4 at 80% depth of discharge you get 320 Wh (26.7 Ah at 12V). On AGM or gel at 50% you get 200 Wh (16.7 Ah). Same nameplate, very different usable energy.

How long does that run a 12V fridge?

A compressor fridge averaging 45 W runs about 7.1 hours on the usable LiFePO4 energy at 12V. Cycling depends on ambient temperature, so treat this as the upper bound for a well-insulated unit.

What capacity is 400 Wh on a real LiFePO4 module?

At the true LiFePO4 nominal voltage of 12.8V, 400 Wh corresponds to 31.3 Ah. At a round 12V it is 33.3 Ah. Datasheets use 12.8V, most calculators use 12V.

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