Effect of media on electric force

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Discussion Overview

The discussion revolves around the effect of different media on the electric force between non-spherically symmetric charges. Participants explore whether the presence of a second medium influences the total force experienced by the charges, particularly when field lines from the charges interact with this second medium.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant questions if the presence of a second medium affects the total force between two charges in a primary medium, specifically when the charges are non-spherically symmetric.
  • Another participant suggests applying Gauss' Law or Poisson's equation to analyze a specific situation, questioning the necessity of non-spherical symmetry in this context.
  • A different participant implies that the presence of another medium does not change the electric field if the Gaussian surface only encloses field lines in the primary medium.
  • One participant emphasizes that the force on one charge due to another depends on the charge enclosed by the Gaussian surface and the medium in which the second charge resides, noting that the analysis is localized.
  • There is a suggestion to consider scenarios where the charges are in different media, hinting at potential variations in the electric force.

Areas of Agreement / Disagreement

Participants express differing views on whether the presence of a second medium affects the electric force, with some suggesting it does not matter while others propose further analysis is needed. The discussion remains unresolved regarding the influence of the second medium.

Contextual Notes

Participants have not reached a consensus on the implications of the second medium, and assumptions regarding the configurations of the charges and media are not fully explored. The discussion also highlights the need for specific mathematical setups to clarify the effects.

Gavroy
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I was thinking about the following: Assuming that you have NON SPHERICALLY SYMMETRIC charges and they are both in medium 1. Does it make a difference(whereby I am referring to the total force between these two charges) if there is a second medium 2 in the local area of both? So both charges are in medium 1 and there is a medium 2 where some electrical field lines go trough? Does this have any effect on the force if there is another medium where field lines go through?
 
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Set up a specific situation and apply Gauss' Law or Poisson's equation and see.
Is there a special reason the charges need to be non-spherically-symmetric?
 
So no, it does not change anything right?
 
You should do the math :)

Put two charges separated by distance r in medium with relative permittivity ##\epsilon_r## while there is an empty region nearby.
 
but if I take the surface(in Gauss law) such that there are only electric field lines, that are in medium 1, then it does not matter that there is another medium, right? So the electric field is the same. I would thank you if you could confirm this idea, somehow.
 
That's the idea - the force on charge 2 due to charge 1 depends on the charge enclosed by the Gaussian surface and the medium charge 2 is in. At this level, everything is decided locally. That's the advantage of the electric field model - pretty soon you will use electric force less and less and do more and more physics using fields.

(Also look at what happens when the charges are in different media.)

Your reasoning is not bad - you should be able to figure stuff out more confidently with a bit of practice - hint: most of physics is just asking useful questions.

Don't forget the "thanks" button :)
 
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