I don't know anything about electronics but I can tell that a 12v Battery can normally power a 12v DC compressor (as shown in the picture) unfortunately it doesn't work (but it does when its plug to my car s cigarette lighter socket.)
could you please help me.
In advance thank you.
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\$\begingroup\$ No, it doesn't have a high enough capacity, get a 12V battery with a much higher amp-hour rating. We would also need to know how many amps that compressor draws. \$\endgroup\$– Voltage Spike ♦Commented Dec 11, 2023 at 18:15
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\$\begingroup\$ The "23A" on the battery is a size code, not a current rating. That tiny battery is nowhere near capable of supplying the current that compressor requires. \$\endgroup\$– brhansCommented Dec 12, 2023 at 9:40
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No, your 23A-size battery has far too high internal resistance/too low current capacity to power your pump.
Your car battery can supply 100-1000 more current, ample to power your pump.