The relation between imaginary part of permittivity to conductivity

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SUMMARY

The discussion centers on converting the imaginary part of permittivity (ε'') to conductivity (σ) for saline at 500 MHz, as presented in the article from the Indian Journal of Pure & Applied Physics. The participant references the equation ε'' = σω/ε0, where ε'' is given as 70. Despite knowing that σ should range between 1 and 3 S/m at this frequency, the calculations do not yield consistent results, indicating a potential issue with unit conversions.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically permittivity and conductivity.
  • Familiarity with the relationship between ε'', σ, and angular frequency (ω).
  • Knowledge of SI units, particularly for permittivity (ε0) and conductivity (σ).
  • Basic mathematical skills for manipulating equations involving physical constants.
NEXT STEPS
  • Review the article "IJPAP 50(6) 405-410" for detailed equations and context.
  • Learn about unit conversions in electromagnetic equations, focusing on ε'' and σ.
  • Study the implications of frequency on conductivity in saline solutions.
  • Explore the significance of ε0 (8.85e-12 F/m) in electromagnetic calculations.
USEFUL FOR

Researchers in material science, electrical engineers, and physicists interested in the relationship between permittivity and conductivity in saline solutions at high frequencies.

uzi kiko
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Hi
When I read the following article:
http://nopr.niscair.res.in/bitstream/123456789/14183/1/IJPAP%2050%286%29%20405-410.pdf

I tried to convert the value of the conductivity for saline in 500 MHz.
At the article, they present the conductivity as ε'' = 70. Which ε'' is the imaginary part of permittivity.
I would like to convert it to: σ(S/m)

I tried to use the relation between σ and ε'': ε'' = σω/ε0.
I know that σ(S/m) for 500 MHz should be between 1 and 3, but when I put the numbers in the equation :
ε0 = 8.85e-12 and w=2*pi*500e6

The numbers don't fit.
I am pretty sure that I have a problem with the units.

Thanks a lot!
 
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