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Home & workshop Electrical

Wh to Ah converter

Energy
Wh
System voltage
V
Usable depth of discharge
%
Capacity 100 Ah
Ah = Wh ÷ V
That bank
Capacity 100,000 mAh
Usable energy 600 Wh
Energy 1.2 kWh
Local · rated capacity is not usable capacity
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Converts watt-hours to amp-hours at a given system voltage, and shows how much of that is actually usable once depth of discharge is taken into account.

How to use the wh to ah converter

1 Enter the energy in watt-hours.
2 Set the system voltage — 12, 24 or 48 for most off-grid systems.
3 Read the amp-hours.

Amp-hours are what battery banks are sold in and watt-hours are what loads consume, so this conversion sits in the middle of every off-grid sizing calculation. Ah = Wh ÷ V, and the system voltage matters as much as the capacity: 1,200 Wh is 100 Ah at 12 V and 25 Ah at 48 V. That is the reason larger systems run at higher voltages — the same energy at four times the voltage draws a quarter of the current, which means thinner cable and far lower losses.

Depth of discharge is where the rating and the reality separate, and it is not a small correction. A lead-acid battery discharged below about 50% repeatedly has a drastically shortened life, so a 100 Ah lead-acid bank is a 50 Ah bank in practice. Lithium iron phosphate tolerates 80–90%, which is most of why it displaced lead-acid despite costing more per amp-hour — the usable capacity per pound is much closer than the headline figures suggest.

One caution about the C-rate: capacity is quoted at a specific discharge rate, usually C/20 for lead-acid. Draw the same battery at C/5 and you get noticeably less than the rated capacity, because of Peukert’s effect. Lithium is far less sensitive to this, which is another reason its real-world capacity holds up better.

Questions

The same energy at four times the voltage draws a quarter of the current — thinner cable and much lower losses.

NIST — the SI base unitsIEC 61434 — battery discharge testing
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