Permittivity versus conductivity

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SUMMARY

Permittivity and conductivity are fundamentally linked concepts in electromagnetism, where permittivity represents a material's opposition to an electric field, while conductivity indicates its opposition to the time derivative of that field. The discussion highlights the relationship between these two properties, suggesting that permittivity can be viewed analogously to resistance in the context of displacement current. Additionally, the conversation explores the potential analog of conductivity in magnetic fields, proposing a relationship between permittivity and permeability. Examples of materials with varying permittivity and conductivity are sought to illustrate their chemical properties.

PREREQUISITES
  • Understanding of electric fields and their properties
  • Familiarity with the concepts of permittivity and conductivity
  • Basic knowledge of Maxwell's equations
  • Awareness of material properties such as polarizability
NEXT STEPS
  • Research the mathematical relationship between permittivity and conductivity in electromagnetic theory
  • Explore the concept of displacement current in detail
  • Investigate the properties of materials with high permittivity and low conductivity
  • Examine the analogy between permittivity and permeability in magnetic fields
USEFUL FOR

Physicists, electrical engineers, materials scientists, and anyone interested in the fundamental properties of materials in electromagnetic applications.

wil3
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Would it be fair to say that permittivity corresponds to the opposition of a material to an electric field, whereas conductivity corresponds to the opposition of a material to the first time derivative of the field? It seems like these two concepts should have some sort of quantitative link, as the concept of displacement current almost treats permittivity as resistance, but I can't quite figure out what exactly the relationship is.

If the above is true, then what would be the equivalent of conductivity for magnetic fields? I feel like permittivity and permeability are analogous so I feel like there should be a natural complement to conductivity.

Finally, what are some examples of materials with high permittivity/low conductivity, or vice versa? I'm trying to get a better idea of chemical properties that give rise to the two (I'm aware that permittivity has something to do with polarizability)

thanks in advance for any help
 
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Ya Certainly I think the relative permittivity and the conductivity are related.
<br /> \nabla \cdot J=-\frac{\partial \rho}{\partial t}<br />
and
J=\sigma E<br />
Putting this in and using
<br /> \nabla \cdot E=\frac{\rho}{\epsilon_0}<br />
 

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