Electromagnetic Waves

An electromagnetic wave of frequency 100 MHz propagates through a medium of conductivity, $\sigma=10 \mathrm{mho} / \mathrm{m}$. The ratio of maximum conduction current density to maximum displacement current density is…

An electromagnetic wave of frequency $3\mathrm{GHz}$ enters a dielectric medium of relative electric permittivity $2.25$ from vacuum. The wavelength of this wave in that medium will be…

The electric field of a plane electromagnetic wave is given by$\vec{E}=E_{0}\left(\hat{x}+\hat{y}\right)\sin\,\left(kz-\omega\,t\right)$. Its magnetic field will be given by

The electric field in a plane electromagnetic wave is given by $\vec{E}=200\cos\,\left[\left(0.5\times\,10^{3}m^{-1}\right)x-\left(1.5\times\,10^{11}\rad\,s^{-1}\right)t\right]Vm^{-1}\hat{j}$. If this wave falls…

Match List I and List II A Gauss's Law inElectrostatics I $\oint\,\vec{E}\cdot\,\vec{dl}=-\frac{d\varphi\,_{B}}{dt}$ B Faraday's Law II $\oint\,\vec{B}\cdot\,d\vec{A}=0$ C Gauss's Law in Magnetism III…

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field$(E\to)$ and magnetic field$(B\to)$ components?

A plane electromagnetic wave is moving in free space with velocity $c=3 \times 10^{8} \mathrm{~m} / \mathrm{s}$ and its electric field is given as $\vec{E}=54 \sin (k z-\omega t) \hat{j} \mathrm{~V} / \mathrm{m}$, where…

A laser beam has intensity of $4.0 \times 10^{14} \mathrm{~W} / \mathrm{m}^{2}$. The amplitude of magnetic field associated with beam is $\_\_\_\_$ T. (Take $\epsilon_{\mathrm{o}}=8.85 \times 10^{-12} \mathrm{C}^{2} /…

The electric field of an electromagnetic wave in free space is $\overrightarrow{\mathrm{E}}=57 \cos \left[7.5 \times 10^6 \mathrm{t}-5 \times 10^{-3}(3 x+4 y)\right](4 \hat{i}-3 \hat{j}) N / C$. The associated magnetic…

A plane electromagnetic wave propagating in$x$-direction is described by $E_{y}=(200Vm^{-1})sin[1.5\times10^{7}t-0.05x];$The intensity of the wave is : (Use$ϵ_{0}=8.85\times10^{-12}C^{2}N^{-1}m^{-2}$)

The magnetic field in a plane electromagnetic wave is $\mathrm{B}_{\mathrm{y}}=\left(3.5 \times 10^{-7}\right) \sin \left(1.5 \times 10^3 x+0.5 \times 10^{11} t\right) \mathrm{T}$. The corresponding electric field will…

Match List-I with List-II : $\begin{array}{|c|c|c|c|} \hline & \text { List-I } & & \text { List-II } \\ \hline & \text { EM-Wave } & & \text { Wavelength Range } \\ \hline \text { (A) } & \text { Infra-red } & \text {…