For equipotential surfaces where E is increasing uniformly d should decrease uniformly.
The equipotential surfaces will be parallel to x-y plane.
Electric potential at (0,0, +z)
Electric potential at (0,0, +z) due to –q charge,
where, and r=z+a
Electric potential at (0,0, +z) due to +q charge,
where, and r=z-a
Therefore, net potential,
At (x, y,0) and as xy plane is denoted by z=0, the distance for –q and +q will be same at xy plane.
xy plane is equipotential surface with magnitude 0.
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