Gauss law describes how electrostatic fields are modified in dielectric materials due to polarization. Dielectrics are insulators that increase the capacitance of a capacitor by placing a nonconductive material between the plates. Gauss law takes two forms for dielectric media - an integral form that relates the electric flux through a closed surface to the net electric charge within, and a differential form that relates the divergence of the electric field to the charge density divided by the permittivity of free space times the relative permittivity of the dielectric material.

1. GAUSS LAW IN DIELECTRICS

2. WHAT ARE DIELECTRICS
A dielectric is an insulator or nonconductor of
electricity. Its effects are defined in terms of the
ratio of the capacitance of a capacitor with a
dielectric between the plates to the capacitance
of a capacitor without a dielectric between the
plates.

3. WHAT IS GAUSS LAW?
Electrostatic field in the dielectric material is
modified due to polarization and is not the same
as in vacuum. Hence the Gauss law ∇𝐸 = 𝜌 𝜀0
which is applicable in vacuum is reconsidered
for dielectric media. It can be expressed in two
forms-
A) Integral
B) Differential