Re: [SI-LIST] : skin effect

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From: Ray Anderson (raymonda@ha1mpk-mail.eng.sun.com)
Date: Thu Aug 31 2000 - 11:12:17 PDT


.Can I ask you a favour? It would be something you really don't want to do
>this morning i.e. can you let me know
>the equation which would let you figure out the skin depth at various
>frequencies. I would really appreciate it.
>
>I guess I had wrong numbers in mind when I was talking to my boss....
>
>cheers,
>
>Muhammad

OK, here you go:

From Pozar's "Microwave Engineering" page 27 I paraphrase:

skin depth = sqrt(2/(omega * mu * sigma))

                
           = sqrt(1/(pi * freq * mu0 * sigma))
           
           = sqrt(1/(pi * freq * 4pi * 10^-7)) * sqrt(1/sigma)
           
           so for freq = 10 GHz , sqrt(1/(pi * 10^10 * 4pi * 10^-7)) = 5.03 x 10^-3
           
           therefore at 10 GHz skin effect = (5.03 x 10^-3) * sqrt(1/sigma)
           
           
           
           for copper sigma = 5.813 x 10^7 skin depth @ 10 GHz = 6.60 x 10^-7 m
               aluminum sigma = 3.816 x 10^7 skin depth @ 10 GHz = 8.14 x 10^-7 m
               silver sigma = 6.173 x 10^7 skin depth @ 10 GHz = 6.40 x 10^-7 m
               
               
               
   -Ray

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