The electric field of an electric dipole at a point on its axis, at a distance d from the centre of the dipole, varies as

Question

The electric field of an electric dipole at a point on its axis, at a distance d from the centre of the dipole, varies as (A) (1/d) (B) (1/d2) (C) (1/d3) (D) (1/d(3)2)

Tardigrade Admin · Accepted Answer

The electric field of an electric dipole at a point on its axis at a distance

d

from the centre of the dipole is

E = \frac{2 p}{4 π ϵ _{0} d ^{3}}

, where

p

is the dipole moment of the dipole.
Hence,

E \propto \frac{1}{d ^{3}}

Q. The electric field of an electric dipole at a point on its axis, at a distance $d$ from the centre of the dipole, varies as

$\frac{1}{d}$

$\frac{1}{d ^{2}}$

$\frac{1}{d ^{3}}$

$\frac{1}{d ^{\frac{3}{2}}}$

The electric field of an electric dipole at a point on its axis at a distance $d$ from the centre of the dipole is
$E = \frac{2 p}{4 π ϵ _{0} d ^{3}}$ , where $p$ is the dipole moment of the dipole.
Hence, $E \propto \frac{1}{d ^{3}}$

Q. The electric field of an electric dipole at a point on its axis, at a distance d from the centre of the dipole, varies as

d1​

d21​

d31​

d23​1​