Flux through a surface increase or decrease

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gandharva_23
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A dipole lies on the X axis , with the positive charge q at x=d/2 and negative charge -q at x=-d/2 .i know that the electric flux through the surface in YZ plane (midway between the charges) will be zero .now this surface is rotated so that the normal to the surface is no longer parallel to the x-axis . Will the flux through the surface increase /decrease / remain the same ?
 
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Since the surface is rotated symmetrically the net flux should still be 0.

- Arun
 
The initial flux is not zero.