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if a battery is rated 12V 2200mAh that means it can supply 2.2A for an hour or 4.4A for 30 min...
[...] but how do we get to know what maximum current can be drawn? i mean using this logic can we get 8.8A for 15min or 22A for 6min? if not so then how do get to know the max output a rechargeable battery can supply?
The actual performance is typically lower than that suggested by the internal resistance. You should find a set of discharge curve on the datasheet which shows voltage over time at different constant discharge rates. That's the ticket.
For example, the Quallion QL038KM is nominally 38 Ah and 25.9 V (maximum 135A continuous discharge). However, if you look at its cell (not battery) discharge curve by rate vs discharge capacity @ room temperature, a 0.2C-rate discharge nets you about 1.95 Ah, a 0.5C-rate nets you about 1.9 Ah, and a 5.0C-rate nets you barely 1.75 Ah. I'm eyeballing it, of course.