Electric potential on circumference of charged ring

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SUMMARY

The electric potential on the circumference of a charged ring is maximized at that location. For a charged ring with a finite diameter, it is feasible to calculate the electric potential using numerical methods, although analytic formulas may not be readily available. The discussion emphasizes the distinction between a mathematical circle, which lacks a well-defined surface and potential, and a physical ring that resembles a donut shape, allowing for potential calculations.

PREREQUISITES
  • Understanding of electric potential and charge distribution
  • Familiarity with numerical approximation methods
  • Basic knowledge of geometry related to charged objects
  • Concept of finite diameter in physical models
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  • Research numerical methods for calculating electric potential in charged geometries
  • Explore analytic solutions for electric potential in various charge distributions
  • Study the effects of finite size on electric fields and potentials
  • Learn about the mathematical modeling of charged rings and their properties
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AdityaDev
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I heard that maximum electric potential for charged ring is at its circumference. Is there an expression to find the electric potential at any point on the circumference of a charged ring?
 
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A mathematical circle would not have a well-defined surface and also no well-defined potential exactly at the ring.
If the ring has some finite small diameter (so it looks like a donut), it is possible to calculate its potential. I'm not sure if there are analytic formulas for it, but you can certainly get a numerical approximation.
 

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