Recent questions in Maxwell's Equations

A square metal sheet of $4 \mathrm{~m} \times 4 \mathrm{~m}$ is placed on the $x-y$ plane as shown in the figure below.If the surface charge density (in $\mu \mathrm{C} /...

An electric field of $0.01 \mathrm{~V} / \mathrm{m}$ is applied along the length of a copper wire of circular cross-section with diameter $1 \: \mathrm{mm}$. Copper has a...

Given $\mathrm{E}=10 e^{-f(4 x-k t)} \bar{y} \; \mathrm{V} / \mathrm{m}$ in free space:Write all the four Maxwell's equations in free space.Find $\nabla \times E$.Find $\...

An electric field on a plane is described by its potential\[\mathrm{V}=20\left(r^{-1}+r^{-2}\right)\]where $r$ is the distance from the source. The field is due toa monop...

Indicate which one of the following will $\text{NOT}$ exist in a rectangular resonant cavity.$\mathrm{TE}_{110}$$\mathrm{TE}_{011}$$\mathrm{TM}_{110}$$\mathrm{TM}_{111}$

Identify which one of the following will $\text{NOT}$ satisfy the wave equation.$50 \; e^{f(\omega t-3 z)}$$\sin [\omega(10 z+5 t)]$$\cos \left(y^{2}+5 t\right)$$\sin (x)...

A plane wave in free space with $\vec{E}=(\sqrt{\pi})(10.0$ $\left.\hat{x}+11.8 \hat{y}) \cdot \exp j\left(4 \pi \times 10^{8} t-k z\right)\right]$,where $\hat{x}$ and $\...

A material has conductivity of $10^{-2} \mathrm{mho/m}$ and a relative permittivity of $4.$ The frequency at which the conduction current in the medium is equal to the di...

A system of three electric charges lying in a straight line is in equilibrium. Two of the charges are positive with magnitudes $Q$ and $2 Q$, and are $50 \mathrm{~cm}$ ap...

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...

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}...

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

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 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...

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...

The region between a pair of parallel perfectly conducting planes of infinite extent in the $y$ - and $z$ - directions is partially filled with a dielectric as shown in t...

The unit of $\nabla \times \mathrm{H}$ isAmpereAmpere/meterAmpere/meter ${ }^{2}$Ampere-meter

The depth of penetration of electromagnetic wave in a medium having conductivity $\sigma$ at a frequency of $1 \; \mathrm{MHz}$ is $25 \mathrm{~cm}$. The depth of penetra...