Figure shows a closed surface which intersects a conducting sphere. If a positive charge is placed at point P, the flux of the electric field through the closed surface.
The conducting sphere will have a negative charge induced on the surface which is closer to the point P. However, it will have equal positive charge induced on the farther end by electric induction. Hence, by Gauss’ law, the flux through a closed surface is equal to 1/ϵ0 times the total charge enclosed by it.
E = electric field,
q = charge enclosed.
The charge enclosed by the closed surface will not be zero, but will consist of the charge in the intersecting region of the sphere and the surface, which is positive. Hence, the flux of electric field will be positive.
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