Recent questions tagged plane-waves-and-properties

Medium wave radio signals may be received at far off distances at night becauseradio waves travel faster at nightground wave attenuation is low at nightthe sky wave is st...

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 \...

The interior of a $\frac{20}{3} \mathrm{~cm} \times \frac{20}{4} \mathrm{~cm}$ rectangular wave guide is completely filled with a dielectric of $\varepsilon_{r}=4$. Waves...

A plane wave of wavelength $\lambda$ is travelling in a direction making an angle $30^{\circ}$ with positive $x$-axis and $90^{\circ}$ with positive $y$-axis. The $\vec{E...

An air-filled rectangular waveguide has inner dimensions of $3 \mathrm{~cm} \times 2 \mathrm{~cm}$. The wave impedance of the $\mathrm{TE}_{20}$ mode of propagation in th...

The $\vec{H}$ field (in $\mathrm{A/m}$ ) of a plane wave propagating in free space is given by\[ \vec{H}=\hat{x} \frac{5 \sqrt{3}}{\eta_{0}} \cos (\omega t-\beta z)+\hat{...

The $\vec{E}$ field in a rectangular waveguide of inner dimensions $a \times b$ is given by\[ \vec{E}=\frac{\omega \mu}{h^{2}}\left(\frac{\pi}{a}\right) H_{0} \sin \left(...

A $\dfrac{\lambda}{2}$ dipole is kept horizontally at a height of $\dfrac{\lambda_{0}}{2}$ above a perfectly conducting infinite ground plane. The radiation pattern in th...

A right circularly polarized (RCP) plane wave is incident at an angle of $60^{\circ}$ to the normal, on an air-dielectric interface. If the reflected wave is linearly pol...

A rectangular waveguide of internal dimensions ( $\mathrm{a}=4 \mathrm{~cm}$ and $\mathrm{b}=3 \mathrm{~cm}$ ) is to be operated in $\mathrm{TE}_{11}$ mode. The minimum o...

A uniform plane wave in the free space is normally incident on an infinitely thick dielectric slab (dielectric constant $\varepsilon_{r}=9$ ). The magnitude of the reflec...

Although a laser beam is highly directional, its beam width increases with propagation. This increase is due tocoherencediffractionpolarizationinterference

A plane electromagnetic wave of the form $\vec{E}=\hat{y} E_{0}\left[\cos 2 \pi\left(5 \times 10^{14} \sec ^{-1}\right) t-\left(2.5 \times 10^{6} \mathrm{~m}^{-1}\right) ...

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, m...

Which of the following statements is true regarding the fundamental mode of the metallic waveguides shown?Only $\text{P}$ has no cutoff-frequencyOnly $\text{Q}$ has no cu...

Two infinitely long wires carrying current are as shown in the figure below. One wire is in the $y-z$ plane and parallel to the $y$-axis. The other wire is in the $x-y$ p...

The electric field component of a time harmonic plane $\text{EM}$ wave traveling in a nonmagnetic lossless dielectric medium has an amplitude of $1 \; \mathrm{V/m}$. If t...

A plane wave having the electric field component $\vec{E}_{\mathrm{t}}=24 \cos \left(3 \times 10^{3} t-\beta y \right) \hat{a}_{z} \mathrm{~V} / \mathrm{m}$ and traveling...

The beamwidth-between-first null of uniform linear array of $\mathrm{N}$ equally-spaced (element spacing $=d$ ), equally-excited antennas is determined by$\mathrm{N}$ alo...

The electric field component of a uniform plane electromagnetic wave propagating in the $Y$-direction in a lossless medium will satisfy the equation.$\frac{\partial^2 E_y...

A radio wave is incident on a layer of ionosphere at an angle of $30$ degree with the vertical. If the critical frequency is $1.2 \; \mathrm{MHz}$, the maximum usable fre...

A uniform plane electromagnetic wave traveling in free space enters into a lossless medium at normal incidence. In the medium its velocity reduces by $50 \%$ and in free ...

In the radiation pattern of a $3$-element array of isotropic radiators equally spaced at distances of $\frac{\lambda}{4}$ it is required to place a null at an angle of $3...

The modes in a rectangular waveguide are denoted by $\mathrm{TE}_{\mathrm{mn}} / \mathrm{TM}_{\mathrm{mn}}$ where $\mathrm{m}$ and $\mathrm{n}$ are the eigen numbers alon...

Consider the following statements regarding the complex Poynting vector $\vec{P}$ for the power radiated by a point source in an infinite homogeneous and lossless medium....

The electric and magnetic fields for a $\text{TEM}$ wave of frequency $14 \; \mathrm{GHz}$ in a homogeneous medium of relative permittivity $\varepsilon_r$ and relative p...

A current sheet $\vec{J}=10 \hat{u}_y \; A / m$ lies on the dielectric interface $x=0$ between two dielectric media with $\varepsilon_{r 1}=5, \mu_{r 1}=1$ in Region-$1 \...

A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of $10^{-4} \; \text{cm},$ with air as the dielectric. Assume the speed of light...

Consider a rectangular coordinate system $(x,y,z)$ with unit vectors $a_{x}\:a_{y}$ and $a_{z}$. A plane wave traveling in the region $z\geq 0$ with electric field vector...

An antenna with a directive gain of $6\text{ dB}$ is radiating a total power of $\text{16 kW}$. The amplitude of the electric field in free space at a distance of $\text{...