Does a Conductor Inside Another Conductor Have a Constant Potential?

[GwtBc]

So the potential inside a conductor is constant. Does this mean that if there were a conductor, B, inside another conductor, A, the charges of A/B would redistribute such that the electric field inside would be zero (hence constant potential)? This seems logical but a bit too easy?

Also, if it is true, does it also hold if the second conductor is inside a cavity within the first?

 

[M Quack]

Yes. The electric field inside both conductors would be zero, and therefore the potential constant. There can be an electric field between conductor A and B if they are not electrically connected (in which case they could be considered as one single conductor), and in this case A and B would be at different potentials. One being inside a cavity of the other changes nothing.
Note: This applies to electrostatics.

 

[Nugatory]

if they are not electrically connected (in which case they could be considered as one single conductor),

Did you mean "could not be considered"? If they are electrically connected (with no resistance) they must be considered as one conductor.

 

[M Quack]

connected = single conductor.
not connected = different conductors.

Sorry, I was not quite clear in my original post.
In electrostatics, resistance is futile, as there are no currents flowing.