GATE EC 2001 Electromagnetics Solution Q 2

GATE EC 2001 Electromagnetics Solution Q 2

A material has conductivity of 10-2 mho/m and a relative permittivity of 4. The frequency at which the conduction current in the medium is equal to the displacement current is

(a) 45 MHz

(b) 90 MHz

(c) 450 MHz

(d) 900 MHz

Ans : a)

Explanation

\left|\sigma E\right|=\left|j\omega\in E\right| \sigma=2\pi f\in_0\in_r \therefore f=\frac\sigma{2\pi\times\in_0\in_r} =\frac{9\times10^9\times2\times10^{-2}}4 f=45\times10^6=45MHz

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