GATE EC 2002 Electromagnetics Solution Q 3

GATE EC 2002 Electromagnetics Solution Q 3

Distilled water at 250 C is characterized by \sigma=1.7\times10^{-4}mho/m\;and\;\in=78\in_0 at a frequency of 3GHz. Its loss tangent tanδ is__.  \in=10^{-9}/\left(36\pi\right)F/m

(a) 1.3\times10^{-5}

(b) 1.3\times10^{-3}

(c) 1.7\times10^{-4}/78

(d) 1.7\times10^{-4}/(78\in_0)

Ans : a)

Explanation

Loss\;\tan gent=\frac\sigma{\omega\in} =\frac{1.7\times10^{-4}}{2\pi\times3\times10^9\times78\in_0} =\frac{1.7\times10^{-4}\times9\times10^9}{3\times10^9\times39} =0.13\times10^{-4}=1.3\times10^{-5}

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