Discussion
The ratio of conduction to displacement current density is referred to as :
Answer: C
The ratio of conduction to displacement current density is the loss tangent.
In a medium with conductivity \(\sigma\) and permittivity \(\varepsilon\), a time-harmonic field drives a conduction current density \(\sigma E\) and a displacement current density \(j\omega\varepsilon E\). Their magnitudes give
\[ \begin{aligned} \tan\theta &= \frac{|J_{c}|}{|J_{d}|} \\ &= \frac{\sigma}{\omega\varepsilon} \end{aligned} \]
which is the loss tangent. It classifies media: much greater than 1 for a good conductor, much less than 1 for a good dielectric.
The attenuation constant \(\alpha\) and propagation constant \(\gamma\) describe how a wave decays and travels, and the dielectric constant is \(\varepsilon_{r}\) alone; they depend on the loss tangent but are not that ratio.
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