An electric dipole P =2 qa i is placed in x-y plane, centred at the origin. Let E_1 and E_2 be the magnitudes of electric field at a point distant r…

An electric dipole $\displaystyle \overrightarrow{\mathrm{P}}=2 \mathrm{qa} \hat{\mathrm{i}}$ is placed in x-y plane, centred at the origin. Let $\displaystyle \mathrm{E}_{1}$ and $\displaystyle \mathrm{E}_{2}$ be the magnitudes of electric field at a point distant r (>> a) from its centre, along its axis and on its equatorial plane, respectively. Then the value of $\displaystyle \left(\frac{\mathrm{E}_{1}}{\mathrm{E}_{2}}\right)$ is :