Does a Conductor Inside Another Conductor Have a Constant Potential?

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Discussion Overview

The discussion revolves around the behavior of electric potential and electric fields in the context of conductors, specifically addressing whether a conductor inside another conductor maintains a constant potential. The scope includes theoretical considerations in electrostatics.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that the potential inside a conductor is constant and questions whether this implies that charges would redistribute in a nested conductor scenario to maintain zero electric field and constant potential.
  • Another participant agrees that the electric field inside both conductors would be zero, thus supporting the idea of constant potential, but notes that if the conductors are not electrically connected, they could have different potentials.
  • A clarification is made regarding the terminology of connected versus not connected conductors, emphasizing that electrically connected conductors behave as a single conductor.
  • One participant points out that in electrostatics, the concept of resistance does not apply since there are no currents flowing.

Areas of Agreement / Disagreement

Participants generally agree on the principle that the electric field inside conductors is zero, leading to constant potential. However, there is some contention regarding the implications of electrical connection between the conductors and how that affects their classification and potential differences.

Contextual Notes

The discussion does not resolve the implications of the conductors being connected or not, nor does it clarify the conditions under which the stated principles apply, particularly in terms of electrostatic assumptions.

GwtBc
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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?
 
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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.
 
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M Quack said:
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.
 
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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.
 

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