Is Free Charge Density Possible in a Dielectric with Zero Potential Conductors?

[ronaldoshaky]

Homework Statement

If I have two co axial conductors at V = 0 and the dielectric has a free charge density. Is that physically possible?

Homework Equations

No relevant equations

The Attempt at a Solution

I am not sure if you can have free charge density in a dielelctric when both conductors are at 0 potential.

 

[miguelcf]

I think that if a dielectric has a free charge density, then it will conduct, i.e, it won't be a dielectric but a conductor.