GATE EC Plane Waves and Properties questions

Practise Plane Waves and Properties questions for GATE EC. Explore official PYQs and original topic-wise quizzes, check answers and view available solutions. Free, no sign-in.

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SubjectTopicYearType

The polarisation of wave with electric field vector

\overrightarrow{\mathrm{E}}=\mathrm{E}_{0} \; e^{j(\hat{\rho}(\omega t+\beta z)}\left(\vec{a}_{x}+\vec{a}_{y}\right)

The depth of penetration of wave in a lossy dielectric increases with increasing

The wavelength of a wave with propagation constant

(0.1 \pi+j 0.2 \pi) \mathrm{m}^{-1}

The intrinsic impedance of copper at high frequencies is

The skin depth at

10\; \mathrm{MHz}

for a conductor is

1 \; \mathrm{cm}

. The phase velocity of an electromagnetic wave in the conductor at

1,000 \; \mathrm{MHz}

is about

A transverse electromagnetic wave with circular polarisation is received by a dipole antenna. Due to polarisation mismatch, the power transfer efficiency from the wave to the antenna is reduced to about

Some unknown material has a conductivity of

10^{6} \; \mathrm{mho} / \mathrm{m}

and a permeability of

4 \pi \times 10^{-7} \; \mathrm{H} / \mathrm{m}

. The skin depth for the material at

1 \; \mathrm{GHz}

A uniform plane wave in air is normally incident on infinitely thick slab. If the refractive index of the glass slab is

1.5

, then the percentage of incident power that is reflected from the air-glass interface is

The intrinsic impedance of a lossy dielectric medium is given by

A plane eelctromagnetic wave travelling along

+z

– direction, has its electric field given by

\mathrm{E}_{x}=2 \cos \left({ }^{*} t\right)

and

\mathrm{E}_{y}=2 \cos \left({ }^{*} t+90^{\circ}\right)

. The wave is

A plane wave is incident normally on a perfect conductor as shown in figure. Here

E_{x}^{r}=\mathrm{H}^{\prime}

, and

\overrightarrow{\mathrm{P}}

are electric field, magnetic field and Poynting vector respectively, for the incident wave. The reflected wave should be