On the axial line of a short dipole the electric field is $E_a$, and on the equatorial line at the same distance it is $E_e$. Then

1. For a short dipole, axial field $E_a = \dfrac{1}{4\pi\varepsilon_0}\dfrac{2p}{r^3}$. 2. Equatorial field $E_e = \dfrac{1}{4\pi\varepsilon_0}\dfrac{p}{r^3}$. 3. Dividing, $E_a = 2E_e$ (and the two point in opposite directions relative to $\vec{p}$). _Source: Samacheer Kalvi Class 12 Physics Vol.1, Unit 1 'Electrostatics', §1.4.2 (important inferences)_