I Electric field of ring at any point

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Calculating the electric field due to a uniformly charged ring at points not on the perpendicular axis involves complex integrals. Users have noted that applying Coulomb's law and the divergence of electric potential often leads to complicated calculations. The integral for this scenario does not yield a simple closed-form expression, which can be a source of frustration. It's essential to approach the problem with an understanding of the complexities involved. The discussion emphasizes the challenges of finding a straightforward solution in this context.
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How to calculate the field due to a uniformly charged ring at a point not on the perpendicular axis of the plane of the ring
I have tried using coulomb's law and divergennce of the electric potential but I always stumble with a complicated integeral
 
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That’s because the corresponding integral is complicated. You should worry if you found a simple closed form expression.
 
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Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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