Q41GATE 2002MCQ

A plane wave is characterized by $\vec{E}=(0.5\hat{x}+\hat{y}e^{\frac{j\pi }{2}})e^{jwt-jkz}$ . This wave is

📖 Explanation

$E_{x}$ and $E_{y}$ out of phase by $90^{\circ}$ , unequal amplitudes. This is elliptical polarization.

Q42GATE 2001MCQ

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

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📖 Explanation

\begin{aligned} |\sigma E| &=|j \omega \in E| \\ \sigma &=2 \pi f \epsilon_{0} \epsilon_{r} \\ \Rightarrow \quad f &=\frac{\sigma}{2 \pi \times \epsilon_{0} \epsilon_{r}} \\ &=\frac{9 \times 10^{9} \times 2 \times 10^{-2}}{4} \\ f &=45 \times 10^{6}=45 \mathrm{MHz} \end{aligned}

Q43GATE 2001MCQ

If a plane electromagnetic wave satisfies the equation $\frac{\partial^2 E_{X}}{\partial x^2}=C^{2}\frac{\partial^2X }{\partial t^2}$ the wave propagates in the

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