Imagine a simple circuit with an inductor and resistor in series.
Now pass thru a varying flux thru the inductor, a
The vary flux induces voltage on the inductor to oppose the flux causing a current to flow in the circuit. That current generates its own flux
phi_i would counter
phi, causing total flux thru the inductor to lessen. The voltage induced on the inductor is now less, current in the circuit is less,
phi_i would lessen, so the total flux thru the inductor,
phi - phi_i now rebounded a bit. Which will then cause
phi_i to increase and start the whole chain again.
current in the coil is affected by the total flux, and total flux is affected by the current in the coil, we have a "chicken-and-egg" scenario here.
I admit this is a very crude way of thinking, as the voltage induced on the inductor doesn't depend on the magnitude of the
phi but the change rate. However, the current and voltage aren't induced instantaneously either, so the real dynamics of the total flux is quite complex to think thru. I think.