Lead acid battery ?

If a lead acid battery is rated 50Ah, this means that it can provide continuously to a 10A load during 5hrs or full 50A to a load during one hour.But, does that also means that it can provide 100A to a load during 30 minutes?Or 3000A during 1 minute?

Answer:
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.
It's not exactly linear.

Check the current rating.
There is a limit to how fast a battery can be discharged since ions need to have time to diffuse around in the battery.

The Amp-Hours rating is not the only rating a battery will have.
A car battery will also be rated for cranking amps and cold cranking amps.

The cold cranking amps give the maximum current the battery can supply at 0 degrees Fahrenheit for 30 seconds while maintaining a minimal voltage on each of the batteries cells (total of 7.2 volts for a 12-volt battery).
Yes that is true.

But when you try for higher currents you can run into internal resistance changing more of the amperage into wasted heat. You can also have the battery not being chemically efficient at those high draw rates so taking it to very high current and very short times is not usually very practical. You will get the high current but not really the 50 Ah worth.

Explosive squibs are usually fired by taking high current from a battery for a very short time, for example.
No the internal resistance of the battery dictates that.

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