Question

Calculate the electric potential at a point on equatorial line of electric dipole

Answer 1

Explanation:

The net electrostatic potential at a point in the electric field due to an electric dipole at any point on the equatorial line is zero.

Answer 2

Answer:

Consider  an electric dipole consisting of 2 point  charges −q−q and +q+q  separated by a distance 2l2l . Let p be a point on a perpendicular bisector of a dipole at distance r from center O. 

VQq+=14π∈0qBQVQq+=14π∈0qBQ 

VQq−=14π∈0−qAQVQq−=14π∈0−qAQ 

$V_Q= V_{P_{q+}}+V_{p_{q-}}V_Q= \large\frac{q}{4 \pi \in_0} \bigg[ \large\frac{1}{BQ}-\frac{1}{AQ} \bigg]V_Q=0BQ=AQ$ 

The net electrostatic potential at a point in the electric field due to an electric dipole at any point on the equatorial line is zero. 

 

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