What they are saying is the switch can carry a given amount of power. P=EI.
So if the voltage doubles then the amperage must decrese by 1/2 to keep the power constant.
Then if this is true, it should carry 125/12*3 amps in a 12 system right??
That does not seem correct for sure.
Somebody get on here and splain this to me ooohhhhhh!!!!
:-laf I guess this is like the blind leading the blind, huh?
Ok, it is a given that a switch can only carry a certain amount of power before it overheats, shorts, or something. I was assuming this was based on the internal resistance of the switch based on its construction, materials, etc. That's why I was looking at the Ohm side of the equation. However, if Wattage is the key to this problem . . . Aha! It now makes much more sense when I solve for it.
P = E*I So since this switch is rated for (I) = 3 amps at (E) = 125 volts, then it is rated for (3*125) = (P) = 375 watts.
So changing (E) to 12 volts and solving for (I):
375 = 12 * I
375/12 = I
I = 31. 25 amps
Also, as KAlder pointed out, I guess the voltage is closer to 14 Volts when the alternator is charging, so if I substitute that value it comes out to be about 26. 7 amps.
Anyways, this way of determining the rating makes perfect sense to me. And usually, when something makes perfect sense to me, I'm wrong. :{

So if somebody knows the real answer, PLEASE speak up!!
CTD12V