Question

Relation between electrical conductivity and dielectric constant

Answer 1

There is no relationship between the conductivity and dielectric constant of a material. The capacitance between two conductors will be proportional to the dielectric constant of the material between the conductors, assuming the spacing and area are fixed.

In dielectrics, the permittivity can be expressed as a complex number:

ε = ε' - jε''

ε' is the dielectric constant

ε'' is the dielectric loss factor

The dielectric loss factor is a function of conductivity and frequency:

ε'' = σ/(2∏f)

Where: ω = 2∏f

So the permittivity can be expressed as a function of the dielectric constant and the conductivity:

ε = ε' - jσ/ω

The concept of conductivity in a dielectric manifests itself in a description of how lossy the dielectric material is - that how well does the dielectric material convert the energy in the E-field at a certain frequency into heat; in fact this is a fundamental concept underpinning how a microwave oven cooks food.

Answer 2

Explanation:

. There is no relationship between the conductivity and dielectric constant of a material. The capacitance between two conductors will be proportional to the dielectric constant of the material between the conductors, assuming the spacing and area are fixed.