Re: wire size
To be precise, the current limit on a conductor is based upon its cross-sectional area.  That is because of two relationships:  (1)  The resistance of a wire is proportional to the length divided by the cross-sectional area, and (2)  The heat generated within the conductor is equal to the square of the current times the resistance.  A larger area gives a smaller resistance, and a lower amount of heat generated.  When you put too much current through a wire, the heat generated becomes too high, and it threatens the integrity of the insulation system.  The bottom line is that the ampacity limits exist to protect the insulation.