Question

Four identical charges are placed at the points and

A

The potential at the origin is zero

B

The field at the origin is zero

C

The potential at all points on the z-axis, other than the origin, is zero

D

The potential at all points on the z-axis, other than the origin acts along the z-axis

Medium

Solution

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Correct option is
D

The potential at all points on the z-axis, other than the origin acts along the z-axis

Here the distance (r) from origin o to all charges will be equal. i.e ,
The potential at origin o is
As the electric field is a vector quantity. So the electric at origin is zero because the filed will cancel each other along x and y axis.
along x axis,
along y axis,
As the potential is scalar quantity, so the  potential at all points on the z-axis, other than the origin acts along the z-axis.

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