Another way to phrase the question might be, "Is the skin effect proportional to current flow?"
I am only vaguely familiar with the skin effect, so I read up on the subject to learn more about it, purely for academic reasons. (I don't currently have any projects where it is a concern.)
I understand that in order to determine conductor size for AC (or multiple conductors or waveguides, etc.), one must consider the frequency, the resistivity of the conductor, and the magnetic permeability. The Wikipedia article mentions:
"It is also important even at mains frequencies (50 – 60 Hz) in AC electrical power transmission and distribution systems."
This statement seems to imply it applies more to high power distribution rather than household mains.
I understand that the center of a conductor is utilized less as frequency increases, but I am not clear on how it relates to current flow.
Does the skin effect become more intense as current increases? A chart on the Wikipedia article shows that at 60Hz, the skin "depth" is 8470μm. If this is constant for that frequency, then am I correct in saying that the diameter of conductor should be based on that depth for the intended current flow? Or, put another way, is the center of the conductor beyond that depth effectively pointless, regardless of current?