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Consider a ring of radius ‘r’ on which a charge q has been uniformly distributed. If a sphere of radius r is centred on the circumference of the ring. Find the electric flux passing through the surface of the sphere.

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It is clear from the geometry of the figure that θ = 60°. So one third part of the ring lies inside the sphere hence, enclosed charge is q/3 only.

Using Gauss law, electric flux passing through the surface of sphere.

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