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Permittivity and conductivity

  1. Mar 10, 2009 #1
    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
     
  2. jcsd
  3. Mar 11, 2009 #2

    tiny-tim

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    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
     
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