Definition of Dielectric Constant

An applied electric field induces charges in a dielectric, reducing the field within it.

Field reduction / original field strength = relative permittivity, which depends on frequency
Permittivity = relative permittivity × vacuum permittivity

A material with high permittivity can substantially reduce the electric field within it.
The dielectric constant can be used to assess the polarity of a polymer.
A relative dielectric constant above 3.6 indicates a polar material;
values from 2.8 to 3.6 indicate a weakly polar material;
values below 2.8 indicate a nonpolar material.

C0: capacitance in vacuum
CX: capacitance with a dielectric
The relative static permittivity (or static relative permittivity) of a material under given conditions is a measure of the extent to which it concentrates electrostatic lines of flux. It is the ratio of the amount of stored electrical energy when a potential is applied, relative to the permittivity of a vacuum. The relative static permittivity is the same as the relative permittivity evaluated for a frequency of zero.
The relative static permittivity is represented as εr or sometimes κ or K or Dk. It is defined as
In electromagnetism, relative permittivity, also called the relative dielectric constant, is defined as the ratio of material permittivity (the material's dielectric constant) to vacuum permittivity:
The relative dielectric constant εr is defined as the ratio of εs to ε0: εr = εs/ε0
εr is relative permittivity
εs is the material's static permittivity
ε0 is vacuum permittivity
In vacuum, εs = ε0, so εr = 1
The vacuum reference therefore has a relative permittivity of 1; relative permittivity expresses dielectric behavior as a numerical ratio.
More precisely, the dielectric constant describes the electrical energy stored in an insulator under a static field relative to vacuum, whose relative dielectric constant is 1.
The dielectric constant is therefore also referred to as static permittivity.
