suppose there is a plane (OPEN ) metallic surface placed in a uniform electric field. is flux THROUGH THE SURFACE ALWAYS ZERO?EXPLAIN

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Solution

NO it is not at all necessary that flux THROUGH THE SURFACE ALWAYS ZERO.
It is only zero when the the area vector (which is perpendicular to the plane of the conductor)of the plane (ds) is perpendicular to the electric field E.
As E.ds = Eds CosQ = 0
where Q= 90^o
Either when the plane is parallel to electric field.

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