In cgs, the electric dipole potential of a dipole with electric dipole moment p is given by

where r is the distance from the dipole. In MKS,

where
is the permittivity of free space.

In polar coordinates, the electric field of an electric dipole in cgs is





and in MKS,





Doing a coordinate-independent calculation in cgs units,








Because p is a constant vector


Plugging (8), (9), and (10) into (7),

Therefore, in cgs,

and in MKS,

Then the force exerted by an imposed electric field E on the dipole is

Let two dipoles
and
be at angles
and
measured from the line connecting the dipoles. Then the energy of interaction is





where
is the azimuth of
relative to the
plane.
The torque exerted on a dipole of dipole moment p in an electric field E is


(1)
where r is the distance from the dipole. In MKS,

(2)
where


In polar coordinates, the electric field of an electric dipole in cgs is



(3)


(4)
and in MKS,



(5)


(6)
Doing a coordinate-independent calculation in cgs units,





(7)



(8)
Because p is a constant vector

(9)

(10)
Plugging (8), (9), and (10) into (7),

(11)
Therefore, in cgs,

(12)
and in MKS,

(13)
Then the force exerted by an imposed electric field E on the dipole is

(14)
Let two dipoles









where



The torque exerted on a dipole of dipole moment p in an electric field E is

(15)
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