GATE EC 1993 Electromagnetics Solution Q 6

GATE EC 1993 Electromagnetics Solution Q 6

A material is described by the following electrical parameters at a frequency of

10GHz:\sigma=10^6mho/m \mu=\mu_0\;and\;\in/\in_0=-10.

The material at this frequency is considered to be (\in_0=\frac1{36\pi}\times10^{-9}F/m)

(a) a good conductor

(b) a good dielectric

(c) neither a good conductor, nor a good dielectric

(d) a good magnetic material

Ans : a)

Explanation

Let us find the value of loss tangent.

\frac\sigma{\omega\in}=\frac{10^6}{2\pi\left(10\times10^9\right)\left(8.854\times10^{-12}\times10\right)} \frac\sigma{\omega\in}=1.798\times10^5>>1

So, it is a good conductor as loss tangent is very much greater than 1.

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