What happens when I supply an AD620 inamp with 0-5V and connect an AC signal to the input?

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47k resistor means a gain of ~2.

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Yellow in IN, blue is OUT. Not good! But that may be because the AC signal is +/- 2.5V and trying to amplify beyond the rails is impossible. Let's try to amplify a +/- 1V signal instead:

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Nothing. And I also tried floating the AC signal with the same result.