Relation between conductivity and permittivity

In summary, the conductivity of a material is related to the dielectric constant (permittivity) and electrical susceptibility, but the exact relationship depends on the system of electrostatic units used. Generally, the conductivity is proportional to the imaginary part of the dielectric function times the angular frequency, while the dielectric constant is proportional to 1+4π times the electrical susceptibility.
  • #1
Repetit
128
2
Hey. Is the conductivity of a material related to the dielectric constant (permittivity) in some way? And what about the electrical susceptibility?

Thanks
 
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  • #2
Repetit said:
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
[tex]
\sigma(\omega)\sim\omega{\rm Im}(\epsilon(\omega))\;.
[/tex]

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

Cheers.
 
  • #3
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.
 

1. What is the relation between conductivity and permittivity?

The relation between conductivity and permittivity is that they are both properties that describe the ability of a material to conduct electricity. Conductivity is a measure of how easily electrons can flow through a material, while permittivity is a measure of how easily a material can store an electric charge.

2. How are conductivity and permittivity related to each other?

Conductivity and permittivity are related through the equation: σ = ε * κ, where σ is conductivity, ε is permittivity, and κ is the dielectric constant. This means that conductivity is directly proportional to permittivity and the dielectric constant.

3. What is the difference between conductivity and permittivity?

The main difference between conductivity and permittivity is that conductivity is a measure of a material's ability to conduct electricity, while permittivity is a measure of a material's ability to store an electric charge. Additionally, conductivity is affected by the presence of free electrons, while permittivity is affected by the material's molecular structure.

4. How do conductivity and permittivity affect the behavior of materials?

Conductivity and permittivity play important roles in determining the electrical properties of materials. Materials with high conductivity and low permittivity are good conductors of electricity, while materials with low conductivity and high permittivity are good insulators. These properties also affect how materials respond to electric fields, such as in capacitors and other electrical devices.

5. How do temperature and frequency affect the relation between conductivity and permittivity?

The relation between conductivity and permittivity is affected by temperature and frequency. In general, as temperature increases, conductivity also increases, while permittivity decreases. Similarly, at higher frequencies, conductivity tends to decrease while permittivity may increase. These effects are due to changes in the material's molecular structure and the movement of free electrons.

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