Lead acid battery ?
Answer:
That's the way it works, on paper.
In the real world, the battery's internal resistance will come into the equation as will excess H2 generation during high current events.
Theoretically yes, but the battery will overheat and may get damaged. So, better to keep the current on the lower side. The self-resistance of the battery will play an important role in the maximum current that you can draw.
There is a limit to the current the terminals and platesand electrolyte can carry, after which they would overheat.
Since the battery has internal resistance, heat will be generated inside the battery when current flows. At some current level, the rate at which the surrounding air carries heat away will be slower than the rate of heat generation and the battery will overheat. At some higher current level, the heat will not be able to flow quickly enough from the hot spots inside the battery to the outer surface where the surrounding air can carry it away. That can cause the plates to warp and perhaps touch and short the battery internally. The battery could explode if too high a current is drawn even for a very short time. There are probably other limitations on the current vs. energy capability.
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