40W is a guess, the actual number could be higher and I could scope it to be exact but just want close. The power and ground wires to the amp are 16ga so the output power to the 4 bridged outputs can't be too substantial.
Given the low bandwidth needs, at first I figured I might cheat with a simple step-down transformer optimized for regular mains voltage and 60Hz would still be applicable. But finding a 2:1 ratio is super rare as a cheap option with dual secondaries I could use in reverse. And I was not sure if the power losses from the excessive current would destroy enough of the efficiency to make it a pointless test, hence not buying one to find out.
Next I thought of a low-buck test of just winding some enameled inductor wire around a bolt to get a turns ratio and start empirically figuring this out. But why resort to a decades old method when I thought a better start would be to maybe start with a simple formula and then test on a torrid dognut or laminated U-shpaed core for $5-$10 and a approximate turns of 22ga wire. I just don't know if I should start with 200 turns or more and what affect increasing/decreasing the turns has exactly. I'd guess more turns rolls off the high end because of the increased inductance so the appropriate gauge (or multiple strands) is important too to handle the current without super high DCR. But I'm wildly guessing...
I don't understand why it needs to be so large? A commercially available autoformer rated for 500W RMS is not really as big or heavy like the tranformer in the power supply of some big home receivers, and this is one order of magnitude larger. Biggest problem is the autoformer is not electrically isolated so can't use it as a sum of the outputs...and it costs over $100 and I'm not that curious. 8)
Like many others I can appreciate the art aspect of a nice design. But I'm just looking for something good enough for now and something that other people with the same car may want - its asked about a lot and the lightweight factory amp has the low weight, low cost (included) and low theft factor.
So some simple help in terms of just the process of a basic transformer design would be extremely helpful.
Cliff