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If you could just add a CAP to fix low amps, They would be in every House, Building, and car to save money. The fact that the charge last 1/1000 of a second just draws more power to recharge it. Now while it's doing that the system is hitting low voltage.
Thats funny that they last 1/1000 of a second. Whenever i disconnect my battery the lights still stay on for another 10 seconds because of the cap still having stored power, given that the lights dont take up as much power but i dont think it only last 1/1000th of a second.