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Answer for countries in Europe and other world areas running a 50 Hz supply service.
grid current (the electricity mains) is *AC (alternating Current, The voltage follows a sinus curve going from (here in Europe) 240 V to -240 V and back fifty times second.
The current from a battery (like from my car battery (actually a lead acid accumulator) is DC mine is 12 V. There are batteries in many sizes for many different uses.
I can pull more amperage from my car battery (during a few seconds) than I can from my wall socket!
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Q: What is the difference between electricity mains current and the current from a battery?
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