Question

When a test charge is brought from infinity towards the centre along the perpendicular bisector of the electric dipole, what is the work done?

Answer 1

Given that the test charge is brought from infinity towards the center along the perpendicular bisector of electric dipole.
We have to find the work done.
Since the perpendicular bisector of the dipole cuts the electrical lines of force of a dipole, perpendicularly.
So, the perpendicular bisector is an equipotential line. When a charge is moved along the equipotential line, the potential does not take.
As work done $=q$ (Charge in potential)
$=q\times 0$
$=0$
So work done is zero.