10 amps sounds high for a set of lights. You might want a 10 amp circuit, because you don't want the draw near the fuses burn out point. I'm seeing less than 5 amps for offroad lights.
The electrolyzer would draw 10 amps all the the time, which would be 120 volts. It would need a 15 or 20 amp circuit. At that size, I don't see it making enough gas to have an affect.
Hydrogen injection has been shown to clean up diesel emissions, maybe improve overall fuel efficiency, but those systems carried tanks of hydrogen, not make it onboard.
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