Recent questions in Electromagnetics

In an impedance Smith chart, a clockwise movement along a constant resistance circle gives rise toa decrease in the value of reactancean increase in the value of reactanc...

The phase velocity for the $\mathrm{TE}_{10}$ – mode in an air-filled rectangular waveguide isless than $c$equal to $c$greater than $c$none of the above( $c$ is the veloc...

A plane wave is characterized by $\overline{\mathrm{E}}=\left(0.5 \hat{x}+\hat{y} e^{jz} / 2 \right)e^{jzet – jkz}.$ This wave islinearly polarizedcircularly polarizedell...

Distilled water at $25^{\circ} \mathrm{C}$ is characterized by $\sigma=1.7 \times 10^{-1} \mathrm{mho} / \mathrm{m}$ and $\epsilon=78 \; \epsilon_{0}$ at a frequency of $...

The electric field on the surface of a perfect conductor is $2 \mathrm{~Vm}$. The conductor is immersed in water with $\epsilon=80 \epsilon_{0}$. The surface charge densi...

Transmission line transformation of a load $Z_{L}$ to $Z$ is given by\[Z=Z_{0} \frac{Z_{1}+j Z_{0} \tan (\beta l)}{Z_{0}+j Z_{\mathrm{L}} \tan (\beta l)}\]Show that the a...

Consider a parallel plate waveguide with plate separation $d$ as shown in the figure electric and magnetic fields for the TEM-mode are given by$\begin{array}{l}\mathrm{E}...

Consider a linear array of two half-wave dipoles $\mathrm{A}$ and $\text{B}$ as shown in the figure is. The dipoles are $\frac{\lambda}{4}$ apart and are excited in such ...

A high-Q quartz crystal exhibits series resonance at the frequency $\omega_{s}$ and parallel resonance at the frequency $\omega_{p}$. Then$\omega_{s}$ is very close to, b...

The intrinsic impedance of copper at high frequencies ispurely resistivepurely inductivecomplex with a capacitive componentcomplex with an inductive component

The Maxwell equation $\mathrm{V} \times \mathrm{H}=\mathrm{J}+\frac{\partial \overline{D}}{\partial t}$ is based onAmpere's lawGauss' lawFaraday's lawCoulomb's law

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$\fra...

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$ – \frac{2.4}{\pi} \vec{a}_{z}$$...

The wavelength of a wave with propagation constant $(0.1 \pi+j 0.2 \pi) \mathrm{m}^{-1}$ is$\frac{2}{\sqrt{0.05}} \mathrm{~m}$$10 \mathrm{~m}$$20 \mathrm{~m}$$30 \mathrm{...

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

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 vector $\mathrm{H}$ in the far field of an antenna satisfies$\nabla \cdot \overrightarrow{\mathrm{H}}=0$ and $\nabla \times \overrightarrow{\mathrm{H}}=0$$\nabla \cdo...

The radiation resistance of a circular loop of one turn is $0.01 \; \Omega$. The radiation resistance of five turns of such a loop will be$0.002 \; \Omega$$0.01 \; \Omega...

An antenna in free space receives $2 \; \mu \mathrm{W}$ of power when the incident electric field is $20 \mathrm{~m} \; \mathrm{V} / \mathrm{m} \; \mathrm{rms}$. The effe...

A loop is rotating about the $y$-axis in a magnetic field $\overrightarrow{\mathrm{E}}=\mathrm{B}_{0} \cos (\omega t+\phi) \vec{a}_{x} \mathrm{~T}$. The voltage in the lo...