Maxwell's Capacitor argument for a time independent Current

[Shreya]

Homework Statement

Why can't we apply the. Maxwells argument to a time independent Current applied to a capacitor, to conclude the existence of a displacement Current inside a capacitor?
Maxwells argument considered a pot like surface between the plates of a capacitor with its open end outside. And argued that since the current enclosed is 0, B must be 0 just inside the capacitor, which is not true.

Relevant Equations

Ampere Maxwell Law

Is it because the current applied to a capacitor will never be time independent? Please help me out

 

[berkeman]

Sorry, what is a "time independent current"? Can you define that, or give some examples?

 

[Shreya]

Sorry, what is a "time independent current"? Can you define that, or give some examples?

What I meant was a constant current - one which is not a function of t. A time dependent current would be AC Current. I am not sure if the name time independent is correct.