Flux through a circular ring

1. The problem statement, all variables and given/known data

A particle having charge q = 8.85 μC is placed on the axis of a circular ring of radius R = 30 cm. Distance of the particle from centre of the ring is a = 40 cm. Calculate electrical flux passing through the ring.

2. Relevant equations

Flux through a closed surface = q/ε

3. The attempt at a solution

I have tried to sketch a figure .

Since the circle is not a closed surface .I tried to make the spherical cap whose base is the given circle . Then I completed that sphere .

Now I think flux through the circle is equal to the flux through the spherical cap .But then what is the flux through the spherical cap ?

Is the ratio of the surface area of the cap to that of the sphere same as the ratio of the flux across these two surfaces ?

I would appreciate if somebody could help me with the problem .

Attached Images
File Type: png circle.PNG (12.0 KB)


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