Relation between Electric flux density (D), Polarization (P) and Electric field intensity (E)
When a dielectric material is placed between plates of charged capacitor, the induced field is E' and the induced charge is q'.
The resultant electric field between the plates is
we also know that that the electric field can be written as
from the above two equations we get
So the relation between the Electric flux density D, Electric field intensity E, Electric polarization P is
Relation between dielectric constant, polarization and susceptibility
we know that the electric flux density D
we also know that the permitivity
from the above two equations of electric fiux denisty D, we get
we know the relation between the dielectric constant and the susceptibility that
on substituting this relation, the above equation changes as
Hence the relation between polarization and susceptibility is