Simple Electrostatic problem with conductor

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Discussion Overview

The discussion revolves around the electrostatic behavior of a point charge placed at the center of a hollow concentric conducting sphere, and the effects of enclosing this setup within another insulating sphere. Participants explore the distribution of induced charges on the conducting shell and the implications for the electric field within the conductor.

Discussion Character

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

Main Points Raised

  • Bob proposes a scenario with a positive point charge at the center of a hollow conducting sphere and questions how electrons will distribute on the conductor when enclosed by another positively charged insulating sphere, while maintaining zero electric field inside the conductor.
  • One participant asserts that in electrostatic equilibrium, the electric field within the conducting material of the shell will be zero, regardless of external charge distributions.
  • Bob inquires about the specific charge distribution on the surfaces of the conducting shell when a point charge is present at the center and an insulating shell with positive surface charge density is added outside.
  • Another participant suggests that if there is no net charge on the conducting shell, the inner surface will have a charge of -Q1 uniformly distributed, while the outer surface will have a charge of +Q1 uniformly distributed.

Areas of Agreement / Disagreement

Participants express differing views on the charge distribution and the implications for the electric field, indicating that the discussion remains unresolved with multiple competing perspectives on the topic.

Contextual Notes

Assumptions regarding the uniform distribution of charges and the conditions for electrostatic equilibrium are present but not fully explored or agreed upon.

bobca117
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Hi Friends,

I was thinking of having a either a point charge or some amount of charge at the center(let us say positive charge) and having a hollow concentric sphere( a conductor) around it. Now, there will be induced charge on the inside of hollow sphere and accordingly opposite charge on the outside still inside E is zero within hollow sphere. Suppose I enclose this with another concentric sphere(which is an insulator) and having the same charge(that is positive for the case discussed) as at the center. I was wondering how the electrons inside the hollow spherical conductor which is in between this two, will distribute. E should be zero. But with enclosed positive charge side on both sides, how the conductor can distribute electrons and still not show up any positive charge inside and have E zero?

Thanks in advance.
Bob
 
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Assuming electrostatic equilibrium, the field within the conducting material of the shell will be zero, regardless of the distribution of external charges.

Also realize that the charge from the outer insulating shell, assuming it is distributed uniformly, produces no electric field within itself.
 
the distribution of charges on the surface of shell in the middle...

Hi Doc Al,

My question is what will be the distribution of charges on the surface of the shell in between. Let us say a point positive charge Q1 at the center. And outside concentric insulating shell has a positive surface charge density of sigma. Now what will be charge distribution on the inside and outside surfces of concentric conducting shell in between?


Thanks.
Bob
 
Assuming no net charge on the conducting shell, its inner surface will have a charge of -Q1 uniformly distributed and its outer surface will have a charge of +Q1 uniformly distributed.
 

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