Flux through a Sphere

A charge Q Q is distributed uniformly on a red ring of radius r r . A blue sphere of equal radius r r is constructed at the periphery of the ring as shown such that they pass through each other's centre.

Find the flux of the electric field through the surface of the sphere.

Q ϵ o \frac{Q}{\epsilon_{o}} Q 4 ϵ o \frac{Q}{4\epsilon_{o}} Q 2 ϵ o \frac{Q}{2\epsilon_{o}} Q 3 ϵ o \frac{Q}{3\epsilon_{o}}

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1 solution

Aryan Pandey
Apr 25, 2018

The angle made by the common segment at center is 120° hence charge enclosed is Q/3 Therefore, by gauss' law ø=Q/3ϵ

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