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Yes, I do believe that there is a limit to how much power a cell can generate. The amount of power is related to the current and type of material used within the chemical reaction that is underwent in the battery to produce the "fuel" that powers a cell.
Power is the rate at which work is done (J/second). I think that having a larger number of cells increases the lifetime of the battery, but I don't think it has an effect on the maximum amount of work that can be done at a given point in time. (I might be wrong)
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