# Charge on inside of holey conducting shell

Consider a charged spherical conducting shell.

I understand that Gauss's law implies that there is no charge on the inside surface of the conducting shell.

Now consider a charged spherical conducting shell with lots of holes cut uniformly all over it.

Would Gauss's law still imply that there is no charge on the inside surface of such a conducting shell?

John

Meir Achuz
Homework Helper
Gold Member
There is no charge on any inside surface of a conductor unless there is charge in the cavity.

There is no charge on any inside surface of a conductor unless there is charge in the cavity.

What happens if the conducting spherical shell has so many holes in it that it becomes a very sparse shell of widely separated blobs of conductor connected by thin wires (somewhat like stars on a "celestial sphere")?

Surely there would be some charge over the entire surface of each blob including the surface facing inwards?