Question

derive an expression for electric potential due to an electric dipole​

Answer 1

Answer:

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Explanation:

Let an electric dipole consist of two equal and opposite point charges –q at A and +q at B ,separated by a small distance AB =2a ,with centre at O.

The dipole moment, p=q×2a

We will calculate potential at any point P, where

OP=r and  ∠BOP=θ

Let BP=r1 and AP=r2

Draw AC perpendicular PQ and BD perpendicular PO

In ΔAOC cosθ=OC/OA=OC/a

OC=acosθ

Similarly,  OD=acosθ

Potential at P due to +q=4πϵ01r2q

And  Potential at P due to −q=4πϵ01r1q

Net potential at P due to the dipole

V=4πϵ01(r2q−r1q)

⟹V=4πϵ0q(r21−

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Answer 2

Answer:

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