Permittivity and conductivity

  • Thread starter thefireman
  • Start date
I have an relation between permittivity and conductivity as follows:

[tex]\epsilon(\omega) = 1 + \frac{4\pi\iota\sigma(\omega)}{\omega}[/tex]

Yet am unclear as to how it was derived. Does this relationship have a name and/or derivation to follow through somewhere? also, I believe it is cgs units, what is the SI equivalent?

Thanks
 

tiny-tim

Science Advisor
Homework Helper
25,790
246
I have an relation between permittivity and conductivity as follows:

[tex]\epsilon(\omega) = 1 + \frac{4\pi\iota\sigma(\omega)}{\omega}[/tex]

Yet am unclear as to how it was derived. Does this relationship have a name and/or derivation to follow through somewhere? also, I believe it is cgs units, what is the SI equivalent?

Thanks
Hi thefireman! :smile:

(i think you just leave out the 4π … or is it 4πe0 ? … to get SI units)

this looks a bit like like the "complex permittivity" definition …

[tex]\hat{\epsilon}(\omega)\ =\ \epsilon(\omega) + \frac{\iota\sigma(\omega)}{\omega}[/tex] is the "complex permittivity"

… see eg http://en.wikipedia.org/wiki/Permittivity#Lossy_medium

… but with a different notation
 

Related Threads for: Permittivity and conductivity

Replies
3
Views
4K
Replies
1
Views
6K
  • Posted
2
Replies
30
Views
6K
Replies
3
Views
2K
Replies
4
Views
4K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top