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Help with Pickup Coil Amplification

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Hi,

I am trying to amplify a signal that is being produced by a magnet and pickup coil and I eventually want to use this signal to trigger a 555 timer in monostable mode later in the signal chain.  I am using this arrangement to sense the movement of a metallic object as shown in the diagram below:.

I am approaching this using an instrumentation amplifier circuit (attached) and am not getting the expected output from the amplifier.

1. Am I applying the amplifier correctly given that my input/source is floating?

2. Is it appropriate to tie the REF pin to ground in this situation?

3. Am I even using the best part for this application?

4. What else am I doing wrong?

A few more details:  My input signal frequency range is approx. 1Hz - 500Hz (depending on the speed of the object).  I would like to retain the variable gain feature of the instrumentation amplifier so as to adjust the "sensitivity" of detection.

Thanks in advance!

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