Considering an ideal circuit of DC voltage source and an inductor connected together with a switch in between them. When the switch is closed at t=0 the current starts increasing which causes induced EMF which in turn results in non-conservative electric field, in order to maintain 0 electric field inside a conductor(ideal) electric charges accumulate to cancel the non-conservative field, due to which voltage develops across the inductor(as it is defined for static fields) but the net electric field is zero inside the ideal inductor, from the equation of EMF= -L(di/dt), I understand that current should change for the EMF to exist but from the argument I just mentioned above I feel that there is no electric field inside and hence the current should remain constant, which causes the induced EMF to become zero(as there is no change in current now) and also the electric field due to accumulated charges on the surface of inductor also vanishes, so now how is the rate of current change maintained? What causes it to be maintained that is what causes it to exist? Please give an intuitive explanation of how this happening.
I have read that induced EMF is causing the rate of current to decrease(in general) but how according to the argument I mentioned above?
And what does the rate of change of current mean? Is it the increase in velocity of charges? Or increase in number of charges?
I know there is some flaw in my explanation, I am surely missing out something so please help me out.