Why do charges distribute differently in metallic and insulating spheres?

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Discussion Overview

The discussion revolves around the differences in charge distribution between metallic and insulating spheres, focusing on the underlying principles of electrostatics and the behavior of charges in different materials. The scope includes theoretical explanations and conceptual clarifications related to electrostatics.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants note that charges on a metallic sphere spread over its surface due to their ability to move freely, leading to a uniform distribution.
  • Others argue that charges on an insulating sphere do not have the same mobility, which can result in complex charge distributions that are not necessarily uniform.
  • One participant suggests that while uniform distribution is a common assumption for insulating spheres, it is not the only possible distribution, as charges can be arranged in various ways.
  • Another participant emphasizes that the concept of a uniform sphere of charge may be misunderstood, indicating that the distribution in insulators can vary significantly.

Areas of Agreement / Disagreement

Participants generally agree on the behavior of charges in metallic spheres but express differing views on the charge distribution in insulating spheres, indicating that multiple competing views remain unresolved.

Contextual Notes

There are limitations regarding assumptions about charge distributions in insulating materials, as the discussion acknowledges that various configurations are possible beyond uniform distribution.

johncena
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When a charge is given to a metallic sphere it spreads in its entire surface area,and when a charge is given to an insulating sphere, it spreads over its entire volume.Why is it so?
 
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johncena said:
When a charge is given to a metallic sphere it spreads in its entire surface area,and when a charge is given to an insulating sphere, it spreads over its entire volume.Why is it so?

The latter is not always true.

You can verify the first part (changes on a sphere, under electrostatic conditions) via Gauss's Law. The charges can move and it will rearrange itself via that description.

If it is an insulating sphere, then all bets are off. The charges can have very complex charge distribution. This is because, in principle, the charges are not mobile, i.e. they can't move. So you can essentially arrange the extra charges any old way that you want. Now, in an E&M lesson, while the question can be tough, we are not malicious. So we tend to give simpler charge distribution, such as a uniform distribution throughout the volume, or a distribution that is radially symmetric. But it doesn't mean that these are the only types of distribution one can get with an insulating sphere.

Zz.
 
Yus - what he said...

You're probably taking the phrase 'a uniform sphere of charge' and adding in your own imaginary insulator - Not so?
 
For the conductors (e.g. metallic sphere),
The charges are free to move and thus they rearrange and tend to uniformly distribute over the entire surface so that each charge attains the maximum separation.

For the insulators,
The charges are restricted to move (to a certain extend) and thus they may distribute in different ways. Uniformly distributed over the entire volume is just a special case.
 

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