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Chris Bryant wrote:
It depends on the resistance- it will draw from the higher voltage source until the resistance in the circuit gets high enough the voltage drops to equal the battery voltage.
I believe you're over thinking this, and that the instructions are not very good- they spec a "25 to 40 amp" feed, and recommend using #12 wire. 25 amp would call for #10, and 40 amp would call for #8 minimum, purely on load carrying capacity (ignoring voltage drop).
I wouldn't sweat it- just make sure the factory circuit is in good shape, the plug is clean, and all connection tight.
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