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[QUE/EM-02021] --- EM-PROBLEM --- Calculating Flux

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A point charge \(Q\) is placed at a point \(C\)  outside the sphere, and is at a distance \(d > R\) from the centre,

 Two points \(A, B\) are chosen so that the points \(A,B,C\) are in the same plane as the center \(O\) of the sphere and the lines \(OC\) and \(AB\) bisect each other. A plane passing through \(A\) and \(B\) and perpendicular to \(OC\) cuts the spherical surface into two parts   as shown in the figure. a charge \(Q\) is placed at the point \(C\).

 Find  the total  flux of the electric field passing through the two parts of the sphere.

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