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 '3D rendering of electric field lines of a swiftly moving charge'

Happy holidays folks. So I spent some time over the Thanksgiving holidays and developed a program that renders electric field lines of swiftly moving charges according to the Liénard–Wiechert formula. The program generates static images based on the given trajectory of a charge (or multiple), and the images were compiled into a video that shows the animated field lines for harmonic movement and circular movement of a charge (or two charges). Video: The source code is available here...
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