Electrostatic potential on a 3d object

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SUMMARY

The calculation of electrostatic potential on a 3D object, such as a charged ring with charge "Q," requires specific methodologies. There is no universal approach for all shapes, and exact solutions exist only for a limited number of special cases. For detailed analysis, refer to the provided resource on the electrostatics of conducting toroids. Understanding these principles is essential for accurate potential calculations in electrostatics.

PREREQUISITES
  • Fundamentals of electrostatics
  • Understanding of charge distribution
  • Familiarity with 3D geometric shapes in physics
  • Basic calculus for potential calculations
NEXT STEPS
  • Study the electrostatic potential formula for spherical and cylindrical objects
  • Learn about the method of images in electrostatics
  • Explore numerical methods for calculating potentials on arbitrary shapes
  • Investigate the electrostatics of conducting toroids as detailed in the provided resource
USEFUL FOR

Physics students, electrical engineers, and researchers focused on electrostatics and potential calculations in three-dimensional geometries.

Cargnelutti
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How to calculate the eletrostatic potential on a 3d object, for example a ring, if it is charger with some "Q" charge what is the potential on the surface of the ring?And how do i calculate it based on the charge of the ring?
 
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Cargnelutti said:
Summary: How to calculate the eletrostatic potential on a 3d object?

How to calculate the eletrostatic potential on a 3d object, for example a ring, if it is charger with some "Q" charge what is the potential on the surface of the ring?And how do i calculate it based on the charge of the ring?
There is no general method, and it has only been solved exactly for a few special cases. See e.g. https://www.victoria.ac.nz/scps/about/staff/pdf/Electrostatics_of_a_family_of_conducting_toroids.pdf.
 

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