(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 and . What is the electrostatic potential at the points and ?
(a)
The equipotential surfaces will be parallel to x-y plane.
(b) Electric potential at
Now, Electric potential at due to
Where, and
and, Electric potential at due to charge.
Where, and
Therefore, the net potential,
At and as plane is denoted by ,
The distance for and will be the same at XY plane.
Therefore, the XY plane is an equipotential surface. Therefore the potential due to charges = 0