Relation between conductivity and permittivity

[Repetit]

Hey. Is the conductivity of a material related to the dielectric constant (permittivity) in some way? And what about the electrical susceptibility?

Thanks

 

[olgranpappy]

Hey. Is the conductivity of a material related to the dielectric constant (permittivity) in some way? And what about the electrical susceptibility?

Thanks

Yes. It depends on the system of electrostatic unit you choose. But, in general the (angular frequency dependent) conductivity is proportional to the imaginary part of the dielectric function times the angular frequency
$$\sigma(\omega)\sim\omega{\rm Im}(\epsilon(\omega))\;.$$

Again with the susceptibility the relation depends on the units, but should look something like
$$\epsilon(\omega)\sim1+4\pi\chi(\omega)\;.$$

Cheers.

 

[charng]

for your question! Yes, there is definitely a relationship between conductivity and permittivity. In fact, the permittivity of a material is a measure of its ability to store electrical energy, while conductivity is a measure of its ability to conduct electrical current. Generally, materials with higher permittivity also have higher conductivity, as they are better at storing and transferring electrical energy. As for electrical susceptibility, it is a measure of how a material responds to an external electric field, and it is also related to both permittivity and conductivity. In summary, all three of these properties are interconnected and play important roles in the electrical behavior of materials.