WHAT IS THE CURRENT RATING OF A BATTERY

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Assuming cells are only in series and not parallel the current rating is also the same as for each individual cell.
The rating is in mAh (milliamp hours) and is the available current that can be provided by the battery for one continuous hour.
For example a 1000 milliamp hour (1 Amp Hour) battery may be disharged at 1 Amp for 1 hour.
Batteries are