Question

Derive an expression for finding the electric potential due to a small electric dipole at a far off point "X" lying on the axial line of the dipole

Answer 1

Explanation:

I think this will help you

Answer 2

The Electric Potential due to a small Electric dipole at far off point X lying on the axial line of the dipole is  V = 1/4$\pi$ε . p/( r² -a²)

Explanation:

Electric Dipole : A pair of equal and opposite charges seperated by a small distance is called electric dipole.. it is denoted by p

p = q x 2a

Consider an Electric dipole Consisting of two point charges -q and +q and separated by distance 2a. let  X be a point on the axis of a dipole at a distance r from its center o.

Electric Potential at point X due to dipole is

V = V₁ + V₂

    = 1/4$\pi$ε x (-q/AP)  + 1/4$\pi$ε x (q / BP)

    = -1/4$\pi$ε . q/ (r+a) + 1/4$\pi$ε. q/(r-a)

    = q/4$\pi$ε [1/(r-a) - 1/(r+a) ]

    1/4$\pi$ε .qX 2a/( r² -a²)

V = 1/4$\pi$ε . p/( r² -a²)