phase velocity
GATE Electronics & Communication · Electromagnetic Theory - Wave Propagation · 1988-2023
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All concepts →Consider a narrow band signal, propagating in a lossless dielectric medium ($\epsilon_r = 4, \mu_r = 1$), with phase velocity $v_p$ and group velocity $v_g$. Which of the following...
Consider a narrow band signal, propagating in a lossless dielectric medium $$(\varepsilon_r=4,\mu_r=1)$$, with phase velocity $$v_p$$ and group velocity $$v_g$$. Which of the follo...
A standard air-filled rectangular waveguide with dimensions $a=8 \mathrm{~cm}, b=4 \mathrm{~cm}$, operates at 3.4 GHz . For the dominant mode of wave propagation, the phase velocit...
The dispersion equation of a waveguide, which relates the wavenumber k to the frequency $\omega$, is $k(\omega) = (1/c)\sqrt{\omega^2 - \omega_0^2}$ where the speed of light $c = 3...
Let the electric field vector of a plane electromagnetic wave propagating in a homogenous medium be expressed as $$E = \widehat x{E_x}\,{e^{ - j\left( {wt - \beta z} \right)}},$$ ,...
A transmission line of characteristic impedance 50 $$\Omega $$ is terminated by a 50 $$\Omega $$ load. When excited by a sinusoidal voltage source at 10 GHz, the phase difference b...
The magnetic field intensity vector of a plane wave is given by $$\overline H \left( {x,y,z,t} \right) = 10\,\sin \left( {50000t + 0.004x + 30} \right){\mathop a\limits^ \cap _y}$$...
The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the $$T{E_{10}}$$ mode is
If the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric medium is given by $$E\left( {z,\,t} \right) = \,10\,\cos \le...
The phase velocity for the $$T{E_{10}}$$ mode in an air-filled rectangular waveguide is
The phase velocity of waves propagating in a hollow metal waveguide is
The electric field vector of a wave is given as $$$\vec E = {E_0}{\mkern 1mu} {e^{j\left( {\omega t + 3x - 4y} \right)}}{\mkern 1mu} {{8{{\vec a}_x} + 6{{\vec a}_y} + 5{{\vec a}_z}...
In an air-filled rectangular waveguide, the vector electric field is given by $$\mathop E\limits^ \to = \cos \,(20\,\pi \,y)\,\exp \,\,\left[ { - j\left( {{{40\,\,\pi } \over 3}} \...
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 space sets up...
Choose the correct statements. For a wave propagating in an air filled rectangular wave guide
A 300 MHz plane E.M. wave is propagating in free space. The wave is incident normally on an infinite copper slab. For the transmitted wave in the copper slab, calculate the followi...
For a normal mode EM wave propagating in a hollow rectangular wave guide