Question

Write an expression (derivation not required) for intensity of electric field of an electric dipole, in terms of its length $\left(2a\right)$, dipole moment $\left(p\right)$ and distance $\left(r\right)$ for:
$\left(1\right)$ Axial position.
$\left(2\right)$ Broad side position.

Answer 1

(1) $E=\frac{1}{4\pi {ϵ}_0}\frac{2p}{r^3}$

(2) $E=\frac{1}{4\pi {ϵ}_0}\frac{p}{(r^2+a^2{)}^{3/2}}$