I have a 12v battery (lithium ion pack) and a 12v wall wart. I want the battery to give me a 12v output when the wallwart is not plugged in and the wallwart to give me a 12v output while charging my battery. I dont want to use normal toggles/push buttons to do this, i want it to be automatic. The best i could come up with is relays. Here is my wiring diagram. Will this work? Can you suggest another way of accomplishing this? Thanks in advance
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Mod edit: reduced image filesize
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