Power supplies of any type are usually rated for their maximum output. So a 3A, 36V power supply is capable but not necessarily putting out that much current and voltage. Sometimes you'll just see the power rating of the supply listed. Power is just the product of current and voltage. The 3A, 36V supply would have a power rating of 3A X 36V for 108 Watts. If you know the power rating, just divide it by the output voltage to get your maximum possible current.
The power supplies used for etching many times will have an adjustable knob which controls the output voltage. These are referred to as variable D.C. (or A.C.) power supplies. The amount of current that is drawn from the supply depends upon the resistance of the circuit that your hooking up. Current is equal to the adjusted voltage divided by the resistance. So for instance, if our 36V variable power supply were adjusted to say, 15V, and the probe that we hook up had an electrical resistance of 10 ohms, then the current draw from the supply would be 1.5 Amps. Furthermore, under this circumstance, the power supply would be supplying 22.5 Watts of power (remember P = I X V).
Its difficult to predict exactly how much current is going to be drawn by an etching probe because the resistance of the probe cannot easily be measured. Most of all its the resistance of the electrolyte that would be difficult to predict as it would depend upon the specific chemistry as well as the amount of saturation into the pad, and the amount of surface contact with the part being etched. My guess, all things considered would be a resistance of somewhere in the neighborhood of 5 to 20 ohms. I'll be building an etcher out of a piece of carbon block (or perhaps a large motor brush) in the near future, along with a regulated variable power supply and I'll give a full report when its finished along with assembly instructions and schematics.