(a) Draw equipotential surfaces corresponding to the electric field that uniformly increases in magnitude along with the z-directions.
(b) Two charges – q and + q are located at points (0, 0, – a) and (0, 0, a). What is the electrostatic potential at the points (0, 0, + z) and (x, y, 0)?
a.

Here ![]()
As, ![]()
For equipotential surfaces where E is increasing uniformly d should decrease uniformly.
The equipotential surfaces will be parallel to x-y plane.
b.

Electric potential at (0,0, +z)

Electric potential at (0,0, +z) due to –q charge,
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where,
and r=z+a
Electric potential at (0,0, +z) due to +q charge,
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where,
and r=z-a
Therefore, net potential,![]()
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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.
Couldn't generate an explanation.
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