I am currently working on the design of a metal detector circuit. I am relying on the method that the coil's inductance would change when a metal is close to it (due to eddy currents.) I have tried several methods using op-amps such as transimpedance amplifiers, etc., but none of them worked.
I saw this question posted
It shows a very nice method to detect small variations in resistances using the Wheatstone bridge and instrumentation amplifier. Unfortunately, this method wouldn't work for inductances, and is not linear like the Wheatstone bridge for resistances.
To summarize, I want a method to detect small variations in an inductor/impedance in an AC circuit.