The electric field due to an electric dipole | vedclass

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Question

(C) The electric field due to a dipole at an axial point at distance $r$ is given by $E_{	ext{axial}} = \frac{1}{4\pi\epsilon_0} \frac{2p}{r^3} = E$.

Vedclass · Accepted Answer

$E / 2$

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(C) The electric field due to a dipole at an axial point at distance $r$ is given by $E_{	ext{axial}} = \frac{1}{4\pi\epsilon_0} \frac{2p}{r^3} = E$.When the dipole is rotated by $90^{\circ}$ about its perpendicular axis,the point that was previously on the axial line now lies on the equatorial line of the dipole.The electric field due to a dipole at an equatorial point at distance $r$ is given by $E_{	ext{equatorial}} = \frac{1}{4\pi\epsilon_0} \frac{p}{r^3}$.Comparing the two expressions,we get $E_{	ext{equatorial}} = \frac{E_{	ext{axial}}}{2} = \frac{E}{2}$.

The electric field due to an electric dipole at a distance $r$ from its centre in the axial position is $E$. If the dipole is rotated through an angle of $90^{\circ}$ about its perpendicular axis,the electric field at the same point will be

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