To clarify my question, I made the illustration below, assuming I understood the Faraday-Lenz law:
Above a copper loop theoretically stays in parallel between the plates A and B.
The magnetic field B hence the flux between the plates A and B is continuously increased.
The copper loop circulates a current such that to oppose the increasing flux.
Above I showed the directions of increasing flux and self generated opposing flux.
My question is, will the total changing flux always be zero no matter the conductor is perfect or not?
If the applied flux was constant(not varying by time) the total flux would be non zero.
But in case the flux is increasing, will the total changing flux be zero?