Electrostatic potential of a charged disk

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Discussion Overview

The discussion revolves around finding the electrostatic potential at any point on a charged disk with radius R and surface charge density σ. The scope includes theoretical considerations and mathematical reasoning related to electrostatics.

Discussion Character

  • Exploratory, Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant inquires about the method to calculate the electrostatic potential of a charged disk.
  • Another participant questions whether the disk is conducting, to which it is clarified that the disk is not conducting.
  • A participant expresses that determining the potential at points other than the center of the disk appears to be a difficult problem.
  • One participant mentions having succeeded in calculating the electrostatic potential at the origin and the rim of the disk but is still attempting to find it at other points on the disk.
  • A reference to an article that employs Bessel functions for this problem is provided, with a note that the approach seems complicated and a lack of familiarity with Bessel functions is expressed.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the method for calculating the electrostatic potential at points other than the center of the disk, and multiple viewpoints regarding the complexity of the problem are presented.

Contextual Notes

Some limitations include the dependence on the definitions of the disk's properties and the unresolved mathematical steps involved in calculating the potential at various points.

Khaled Yasein
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How can I find the electrostatic potential of any point on a charged disk with radius R and surface charge density σ
 
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Is the disk conducting?
 
Jilang said:
Is the disk conducting?
no
 
It looks like a difficult problem iif you need to find it at a point other than at the centre.
 
Jilang said:
It looks like a difficult problem iif you need to find it at a point other than at the centre.
I succeeded to get the electrostatic potential on the origin and on the rim of the disk but I'm still trying to get it anywhere on the disk
 
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Likes   Reactions: Jilang

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