The ratio of electric fields on the axis and | vedclass

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Question

(B) The electric field on the axis of an electric dipole at a distance $r$ from the center is given by $E_a = \frac{1}{4\pi\epsilon_0} \frac{2p}{r^3}$

Vedclass · Accepted Answer

$2:1$

Vedclass · Answer

(B) The electric field on the axis of an electric dipole at a distance $r$ from the center is given by $E_a = \frac{1}{4\pi\epsilon_0} \frac{2p}{r^3}$.The electric field on the equatorial plane of an electric dipole at a distance $r$ from the center is given by $E_e = \frac{1}{4\pi\epsilon_0} \frac{p}{r^3}$.Taking the ratio of the two fields:$\frac{E_a}{E_e} = \frac{\frac{1}{4\pi\epsilon_0} \frac{2p}{r^3}}{\frac{1}{4\pi\epsilon_0} \frac{p}{r^3}} = \frac{2}{1}$.Therefore,the ratio is $2:1$.

The ratio of electric fields on the axis and at the equator of an electric dipole is

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