Charge on inside of holey conducting shell

In summary, Gauss's law states that there is no charge on the inside surface of a conducting shell, regardless of the number of holes it has or the arrangement of those holes. However, if the conducting shell has holes that create a sparse shell with widely separated blobs of conductor, there would be charge over the entire surface of each blob, including the inward-facing surface.
  • #1
johne1618
371
0
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
 
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  • #2
There is no charge on any inside surface of a conductor unless there is charge in the cavity.
 
  • #3
Meir Achuz said:
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?
 

What is the charge on the inside of a holey conducting shell?

The charge on the inside of a holey conducting shell is zero.

Why is the charge on the inside of a holey conducting shell zero?

This is due to the principle of electrostatic shielding. The conducting shell acts as a Faraday cage, which means that any external electric field is cancelled out by the opposite charges on the inner surface of the shell.

What happens to the charge on the inside of a holey conducting shell if a charged object is placed inside it?

The charge on the inside of the shell will remain zero. This is because the charges on the inner surface of the shell will rearrange themselves to cancel out the electric field of the charged object.

Is the charge on the inside of a holey conducting shell affected by the shape or size of the holes?

No, the charge on the inside of the shell is not affected by the shape or size of the holes. As long as the conducting shell is intact, the charge on the inside will remain zero.

Can the charge on the inside of a holey conducting shell be measured?

No, the charge on the inside of a holey conducting shell cannot be measured directly. This is because any external electric field is cancelled out by the charges on the inner surface of the shell, making it impossible to detect any charge inside.

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