Electrostatic potential on a 3d object

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Calculating the electrostatic potential on a 3D object like a charged ring can be complex, as there is no general method applicable to all shapes. Exact solutions exist only for specific cases, making it challenging to derive a formula for arbitrary geometries. The potential on the surface of the ring depends on the charge "Q" and the geometry of the object. For detailed calculations, specialized resources or studies, such as those on conducting toroids, can provide insights. Understanding these principles is essential for accurate electrostatic potential calculations.
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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