PSU made with power op-amp and small trafo

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Guys, I've been thinking...:scratch:
Correct me if I'm wrong (I love to say this:devily: ) on my thoughts.

What I have in mind is from a small and cheap transformer (say, 2x24v/1A) make a good PSU for a GC.

The transformer would at the same time supply the power op-amp and the non-iniverting input.
That is, V+ connected to +IN on one power op-amp.
The other one would have the V- connected to +IN.
On the output of one op-amp you would have + voltage, and on the other one you would have the negative.
The voltage would be the same, because an op-amp won't swing more voltage than it has on the PSU supplying it, no matter what gain you configure it.
I was thinking in OPA541, for instance.
It's unity-gain stable.

My doubt, and the question here, is if I would have more current on the output than the current the transformer has (1A).
Wouldn't it be nice to have a 10A PSU (with OPA541) with a 1A transformer?

Am I dreaming?:dodgy:
 
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