- #1

WhiteHaired

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a) ##v=\frac{c}{\sqrt{\epsilon'}}##?

b) ##v=\frac{c}{\sqrt{|\epsilon_r|}}##?

c) None of above?

Related to previous question: If the natural resonance frequency of a resonant mode in an empty (vacuum) microwave cavity is ##f_0##, which is the natural resonance frequency for the same mode, but with the cavity completely-filled with the previous lossy dielectric material?

a) ##f=\frac{f_o}{\sqrt{\epsilon'}}##?

b) ##f=\frac{f_o}{\Re{(\sqrt{\epsilon'-j\epsilon"})}}##?

b) ##f=\frac{f_o}{\sqrt{|\epsilon_r|}}##?

c) None of above?

All of the textbooks and webs (that I've found) about this topic, consider only lossless dielectrics or approximations for low-loss dielectrics, but no general expressions.