Electric field inside charged conducting sphere?

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Discussion Overview

The discussion revolves around the electric field inside a charged conducting sphere, specifically addressing the reasoning behind why the electric field is zero within the sphere despite the presence of surface charges. Participants explore concepts related to electrostatic equilibrium, point charges, and Gauss' Law.

Discussion Character

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

Main Points Raised

  • One participant asserts that the electric field inside the sphere is zero due to electrostatic equilibrium but questions the apparent contradiction when considering point charges placed outside the sphere.
  • Another participant suggests that a brute-force calculation could provide clarity and enhance understanding of Gauss' Law.
  • A third participant offers a crude explanation that the balance of point charges on the sphere results in a net zero electric field at any point inside, as there are more charges further away than closer to an off-center point.
  • A later reply echoes the previous explanation, affirming the balance of effects from the surface charges.

Areas of Agreement / Disagreement

Participants express differing views on the reasoning behind the zero electric field inside the sphere, with some proposing calculations and others providing conceptual explanations. The discussion remains unresolved regarding the best approach to reconcile the apparent contradiction.

Contextual Notes

Participants reference Gauss' Law and the integration of point charges, but the discussion does not delve into specific mathematical details or assumptions that may affect the conclusions drawn.

mohamed el teir
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i know it s zero because of the electrostatic equilibrium, but in terms of point charges : from the charge distribution on the sphere surface if we consider 2 point charges opposite to each other in direction : it s logical that at the point in the mid distance between them the electric field will be zero : (kq1/r1^2)=(kq2/r2^2) where q1=q2 and r1=r2, but if we consider a point closer to a point charge than the other charge : q1=q2 also but r1 not equal r2, therefore it s logical that there will be net field at this point, but there is no field at any point inside the sphere, so what is the solution of this contradictory ?
 
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It's not just about those two point charges.
A brute-force calculation might help... after which one might have more appreciation for Gauss' Law.
 
Very very crudely (I hate to do this) it's because for a point off-centre there are more point charges on the sphere further away than there are closer - the effect balances out exactly when you add them all up. Surely any E&M textbook shows how to do the integration.
 
DaPi said:
Very very crudely (I hate to do this) it's because for a point off-centre there are more point charges on the sphere further away than there are closer - the effect balances out exactly when you add them all up. Surely any E&M textbook shows how to do the integration.
nailed it ! thanks man ...
 

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