The energy density in the electric field created by a point charge falls of with the distance from the point charge as
We know that,
The energy stored per unit volumeenergy density) in an electric field E is given by
Where,
E=magnitude of electric field intensity
ϵ0=absolute permittivity of vacuum
As we know that,
And the electric field due to a point charge Q at a distance r is given by
Therefore, energy density by formula)
And E
∴
⇒
Thus , the energy density in the electric field created by a point charge falls of with distance from a point charge as