Looking for some intuition on this question:
We all learn from Gauss's law that inside a charged conducting spherical shell there should be no electric field. What about if the sphere contains a neutral plasma?
On the one hand, due to Debye shielding, a test charge placed near the sphere's boundary (but on the inside) should not be able to 'see' the charge on the more distant side of the sphere because it's effectively screened out by the mobile charge carriers in the plasma. It should therefore experience a net force from the nearest sphere wall which is unbalanced on the other side. On the other hand, Debye shielding only occurs because the mobile charge carriers move around in response to the initial electric field. So if the initial electric field is zero, perhaps Debye shielding should never occur in the first place.
Is it possible that either situation could occur depending on initial conditions/perturbations? Like, with a perfect charge distribution on the sphere and a perfectly homogeneous plasma there will still be zero electric field, but small perturbations could result in a self-reinforcing electric field inside the sphere?