Recent questions tagged electromagnetics

A mast antenna consisting of a $50$ meter long vertical conductor operates over a perfectly conducting ground plane. It is base-fed at a frequency of $600-\mathrm{kHz}$. ...

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...

For a short wave radio link between two stations via the ionosphere, the ratio of the maximum usable frequency to the critical frequencyis always less than $1$is always g...

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) $\overrightarrow{\mathrm{V}} \times \overrightarrow{\mathrm{H}}=\overrightarrow{\mathrm{J}}$(1)Continuity equation(B) $\int_{c} \vec{E} \cdot \overrightarrow{a_{t}}=-...

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...

If $\mathrm{C}$ is a closed curve enclosing a surface $S$, then the magnetic field intensity $\vec{H}$, the current density $\vec{J}$ and the electric flux density $\vec{...

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...

For static electric and magnetic fields in an inhomogeneous source-free medium, which of the following represents the correct form of two of Maxwell's equations?$\begin{a...

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...

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) ...

While you are listening to a programme from a radio, if a near-by electric light bulb is switched on or switched off, you hear a momentary noise in your radio. This is du...

A long solenoid of radius $\mathrm{R}$, and having $\mathrm{N}$ turns per unit length carries a time dependent current $I \; (t)=I_{0} \cos (\omega t)$. The magnitude of ...

A material is described by the following electrical parameters as a frequency of $10 \; \mathrm{GHz}, \sigma=10^{6} \mathrm{mho} / \mathrm{m}, \mu=\mu^{0}$ and $\sigma / ...

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...

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...

A magnetic field in air is measured to be\[ \vec{B}=B_{0}\left(\frac{x}{x^{2}+y^{2}} \hat{y}-\frac{y}{x^{2}+y^{2}} \hat{x}\right) \]What current distribution leads to thi...

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...

Which of the following statements is/are correct?All the resonant frequencies of a microwave cavity are harmonics of a single frequencyNo two of the resonant frequencies ...

Two dissimilar antennas having their maximum directivities equal,must have their beamwidths also equalcannot have their beamwidths equal because they are dissimilar anten...

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 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 ...

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 \...