[sdiy] Transformer confusion

[Robotboy8 at aol.com]

Alright.  I was thinking about transformers today, and have come up with a 
lossless passive amplifier!  (Okay, I know this wouldn't work, elsewise it would 
be a miracle device that everyone would have heard of... but I'm trying to 
figure out WHY not).

So.  A step-up transformer - two magnetic cores with wires, yadda yadda - 
increases voltage, but you pay for that increase with a decrease in wattage.  
(right?)  So far we have the xformer with less windings on the left and the one 
with more on the right.  Now get another one that's identical to the one on the 
right (more windings than the one on the left) and set it furthest left (so 
you have more-wound, less-wound, more-wound in that order).  That one will act 
identically to the one on the right (correct?) but be 180 degrees out of phase 
(correct?).  But what if you ran that through an inverter and combined that 
signal with the output of the other more-wound inductor, wouldn't you have a 
higher signal (in voltage AND wattage) than what you started with?

I know it doesn't work this way.  What I'm wondering is why it doesn't.
       -eric
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