GATE EC Electromagnetics questions

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

The wavelength of a wave with propagation constant $(0.1 \pi+j 0.2 \pi) \mathrm{m}^{-1}$ is

The time averages Poynting vector, in $W / m^{2}$, for a wave with $\vec{E}=24 \; e^{} \; a_{} \mathrm{~V} / \mathrm{m}$ in free space is

All transmission line sections shown in the figure is have a characteristic impedance $\text{R}_{0}+\text{j}_{0}$. The input impedance $\text{Z}_{\text{in}}$ equals

The Maxwell equation $\mathrm{V} \times \mathrm{H}=\mathrm{J}+\frac{\partial \overline{D}}{\partial t}$ is based on

The intrinsic impedance of copper at high frequencies is

A rectangular air-filled waveguide has cross section of $4 \mathrm{~cm} \times 10 \mathrm{~cm}$. The minimum frequency which can propagate in the waveguide is

A transmission line of $50 \; \Omega$ characteristic impedance is terminated with a $100 \; \Omega$ resistance. The minimum impedance measured on the line is equal to

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 very lossy, $\lambda / 4$ long, $50 \; \Omega$ transmission line is open circuited at the load end. The input impedance measured at the other end of the line is approximately

A metal sphere with $1 \mathrm{~m}$ radius and a surface charge density of $10 \; \mathrm{Coulombs / m}^{2}$ is enclosed in a cube of $10 \mathrm{~m}$ side. The total outward electric displacement normal to the surface of the cube is

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

The capacitance per unit length and the characteristic impedance of a lossless transmission line are $\mathrm{C}$ and $\mathrm{Zo}$ respectively. The velocity of a travelling wave on the transmission line

A lossless transmission line having $50 \; \Omega$ charateristic impedance and lengh $\lambda / 4$ is short circuited at one end and connected to an ideal voltage source of $1 \mathrm{~V}$ at the other end. The current drawn from the voltage source is

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 $1 \; \mathrm{GHz}$ is

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

An antenna, when radiating, has a highly directional radiation pattern. When the antenna is receiving, its radiation pattern

The intrinsic impedance of a lossy dielectric medium is given by

The electric field strength at a distance point, $\mathrm{P}$, due to a point charge, $+q$. located on the origin, is $100 \; \mu \mathrm{V} / \mathrm{m}$. If the point charge is now enclosed by a perfectly conducting metal sheet sphere whose centre is at the origin, then the electric field strength at the point. $P$. outside the sphere, becomes.

For a dipole antenna