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When A Test Charge Is Brought In From Infinity Along The Perpendicular
When a test charge is brought in from infinity along the perpendicular bisector of an electric dipole, the work done is zero. The work done is positive when the test charge is brought in from infinity along the axial line of the dipole.
The work done is never negative in sign when a test charge is brought in from infinity along the perpendicular bisector of an electric dipole. In this test +q and perpendicularity hence Work done =+q×E =(+Ve).
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 .
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