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Watt-Hours Explained

Manufacturers quote mAh, Ah and Wh more or less at random. One formula converts them all, and it is worth two minutes of your life.

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Lithium battery cells photographed close up

The short answer

Watt-hours (Wh) = amp-hours (Ah) x volts (V). A 20,000mAh power bank is 20Ah at a typical 3.7V cell voltage, so 20 x 3.7 = about 74Wh. That is why a power bank and a portable power station are not comparable on the mAh number: a 288Wh power station holds roughly four times the energy of the biggest power bank you can buy.

Why three different units exist at all

Amp-hours measure charge, not energy. They only tell you something useful if you also know the voltage. Phone accessory makers quote mAh because the numbers look big — 20,000 reads better than 74. Power station makers quote watt-hours because it is the only unit that lets you compare across different battery voltages, and because it is the unit that maps directly onto appliance ratings.

Watts are already volts x amps, so watt-hours are volts x amp-hours: energy, not charge. It is the same unit your utility bills you in, just a thousand times smaller (1kWh = 1,000Wh).

The conversions, in both directions

Assuming the nominal cell voltage each product type actually uses.
Quoted asConversionResult
10,000mAh power bank10Ah x 3.7V37Wh
20,000mAh power bank20Ah x 3.7V74Wh
27,000mAh power bank27Ah x 3.7VAbout 100Wh — the airline limit
100Ah 12V leisure battery100Ah x 12V1,200Wh
100Ah 12V, usable at 50% (lead-acid)1,200Wh x 0.5600Wh usable
100Ah 12V LiFePO4, usable at 90%1,200Wh x 0.91,080Wh usable

Those last two rows are the reason a 100Ah lithium battery is not simply a more expensive 100Ah lead-acid battery. Lead-acid is damaged by deep discharge, so convention is to use only half of it. LiFePO4 will give you most of its capacity without harm. Same nameplate, nearly double the usable energy. LiFePO4 vs NMC covers the chemistry side.

Turning watt-hours into runtime

Runtime in hours is roughly capacity in watt-hours divided by the device's draw in watts — then reduced, because converting the battery's DC to household AC costs energy.

For anything with a compressor, that arithmetic changes again, because the device does not run continuously. A fridge rated 45W running at a 40% duty cycle averages 18W, not 45W. Getting duty cycle wrong in either direction is the second most common sizing error after ignoring surge — what size do I need works it through properly.

Where the number on the box comes from

A manufacturer's stated capacity is the nominal cell capacity, measured under favorable conditions. You will not get all of it out of the AC outlets, because the inverter takes its cut and because the battery management system keeps a reserve. Independent testers have consistently found delivered AC energy below nameplate: OutdoorGearLab, which does buy and instrument its units, reported that none of the products it tested delivered usable AC output matching claimed capacity. We have not measured this ourselves, and we are citing their finding rather than presenting it as ours — but it is the right expectation to carry into a purchase.

Watt-hours are also how aviation regulators classify batteries. The thresholds are 100Wh and 160Wh, and they apply to the battery's rating regardless of physical size. That is the entire reason a 74Wh power bank flies and a 288Wh power station does not. Can you bring a power station on a plane sets out the rules with the TSA and FAA citations.

Questions

Frequently asked questions

How many watt-hours in an amp-hour?
It depends on the voltage: watt-hours = amp-hours x volts. One amp-hour at 3.7V is 3.7Wh; one amp-hour at 12V is 12Wh. Amp-hours alone do not tell you how much energy a battery holds.
How many watt-hours is 20,000mAh?
About 74Wh, assuming the usual 3.7V lithium cell voltage: 20,000mAh is 20Ah, and 20 x 3.7 = 74Wh. That keeps it under the 100Wh airline threshold, which is why most travel power banks cluster just below 27,000mAh.
How many watt-hours is 10,000mAh?
About 37Wh at 3.7V. Enough for roughly two full phone charges.
Why do I get less runtime than the capacity suggests?
Converting DC to AC costs roughly 10-15%, the battery management system holds a reserve, cold reduces available capacity, and most people stop before zero. Plan on about 80-85% of nameplate reaching your devices.
Is a 100Ah battery the same as a 1,200Wh power station?
On paper, at 12V, yes — 100 x 12 = 1,200Wh. In practice it depends on chemistry and usable depth of discharge, and a bare battery has no inverter, no ports and no charge controller. Power station vs a 12V house battery compares them properly.

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