**I am not an RF engineer and I don't even know if what I'm asking is possible.**

The idea is that the system will be outputting a 12V 10KHz signal onto the wire with one end connected (Wire Under Test) - and I would like this signal to be detected by another wire that is wrapped onto this wire but not connected electrically.

This is for a quality test system and for quality reasons, I cannot connect the Wire Under Test's other end electrically anywhere.

If I output a 5V 10KHz signal via my function-gen onto this wire (with only 1 connected to the function-gen) and put the tip of my oscilloscope probe onto the PVC insulation, I am able to pick up a 200 mV 10KHz signal very easily.

If I further wrap another wire onto the wire under test and put my oscilloscope on that wire, the signal jumps to 1V 10 KHz.

How can I design a circuit that lets my amplify the signal from the wrapped wire? In my naiveness, I tried and connected a LM324 based Inverting amplifier but I received no input - until I connected the probe of my oscilloscope at the input!