Ah = Amp-Hour.
1 Ah means that the battery can supply 1A of continious current for 1 hour. If you are powering something that consumes 2A at any instant, then you will only run for 30 minutes. If it's only 500mA (1/2A), then it would run for 2 hours.
It's not an exact science since these numbers are usually based on particular consumption characteristics. The battery may change it's ability to output a particular amount of current or voltage depending on where it is at in its discharge cycle.



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