Again... not sure I follow your wording... but I think I see where you are going.adafruit_support_mike wrote:Exactly.
Now.. I'm going to use a technique called 'unrolling the loop' to bring the concept of feedback into the picture.
Taking the 'X=10;Y=10%' example as our base circuit, imagine having two copies that are electrically identical. Connect the input of the second to the output of the first. If we feed the same 100mV sine wave into the first input, what do we get from the second output?
The output of Stage 2 should be identical to the input of Stage 1.
If you increase the amplification in Stage 1 to X=100, the "attenuation" in Stage 2 needs to be Y=.01 (aka 1%) to make the Stage 2 output match the Stage 1 input.
Note: I assume that you are talking about a hypothetical/theoretical situation where gain X has no physical upper bound?