Is it possible to charge a lead acid car battery with a lab bench power supply?
I am thinking of hooking it up to 13.8 Volts and 1 Amps. Will this work?
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If you are using flooded lead-acid, hook it up with 14.4v supply with even higher current. (Your car easily charges at 25 Amp). So, go ahead with 5 - 10Amps if your power supply can output. An advantage of trickle charging at 14.4V is, it will automatically balance out your cells. watch out for water level don't let it boil. For AGM, do not overcharge.
Also, do it outdoors as it produces hydrogen and some hydrogen sulfide.