Question

derive an
expression for the electric potential at a point on the extended
axis of an electric dipole

Answer 1

Explanation:

Let P be an axial point at distance r from the center of the dipole. Electric potential at point P is given as

V=V1+V 2

V1 and V 2

are the potentials at point P due to charges +q and –q respectively

V=1/ 4πε0( q/r−2a+(-q/ r+2a ))

V= 1/4πε0 ( 4a/(r²-4a²))

V= 1/4πε0(2P/(r²-4a²))

Hence, the electric potential is 1/4πε0 (2P/r²-4a²))

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