If the scattering matrix [S] of a two port network is [S] = $ \left[ \begin{array} \ 0.2\angle0^\circ & 0.9 \angle90^\circ \\ 0.9\angle90^\circ & 0.1 \angle 90^\circ \end{array} \right] $ then the network is

A plane wave propagating in air with $\dot E = (8\widehat a_x + 6 \widehat a_y + 5 \widehat a_z) e^{ot + 3y -4y}$V/m is incident on a perfectly conducting slab positioned at x $\le$ 0. The $\vec E$field of the reflected wave is

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 plane and parallel to the x−axis. Which components of the resulting magnetic field are non-zero at the origin?

The electric field of an electromagnetic wave propagating in the positive z - direction is given by

$E = \widehat a_x sin(\omega t - \beta z) + \widehat a_y sin(\omega t - \beta z + \pi / 2)$

The wave is

The phase velocity of an electromagnetic wave propagating in a hollow metallic rectangular waveguide in the TE₁₀ mode is

A transmission line with a characteristic impedance of 100 $\Omega$is used to match a 50 $\Omega$section to a 200 $\Omega$section. If the matching is to be done both at 429 MHz and 1 GHz, the length of the transmission line can be approximately

A rectangular waveguide of internal dimensions (a = 4 cm and b = 3 cm) is to be operated in TE₁₁ mode. The minimum operating frequency is

Which one of the following represents the electric field lines for the TE₀₂ mode in the cross-section of a hollow rectangular metallic waveguide?

A parallel plate air-filled capacitor has plate area of 10^-4 m² and plate separation of 10^-3 m. It is connected to a 0.5 V, 3.6 GHz source. The magnitude of the displacement current is ($\epsilon$= $\dfrac{1}{36\pi} 10^{-9}$F/m)

The $\vec E$ field in a rectangular waveguide of inner dimensions a$\times$b is given by $\vec E$= $\dfrac{\omega \mu}{h^2} \left( \dfrac{\pi}{a} \right)$H₀ sin $\left( \dfrac{2\pi x}{a} \right)^2$sin ($\omega t - \beta z$$\widehat y$
Where H₀ is a constant, and a and b are the dimensions along the x-axis and the y-axis respectively. The mode of propagation in the waveguide is

A transmission line has a characteristic impedance of 50$\Omega$ and a resistance of 0.1$\Omega$ /m. if the line is distortion less, the attenuation constant (in Np/m) is

The unit of $\nabla$$\times$ H is

The electric field of a uniform plane electromagnetic wave in free space, along the positive x direction, is given by $\dot E = 10(\widehat a_y + j\widehat a_z) e^{-j25x}$. The frequency and polarization of the wave, respectively, are

For a Hertz dipole antenna, the half power beam width (HPBW) in the E-plane is

The magnetic field intensity vector of a plane wave is given by $\bar H (x,y,z,t)$ = 10 sin (50000t + 0.004x + 30)$\widehat a_y$ where $\widehat a_y$denotes the unit vector in y direction. The wave is propagating with a phase velocity

One end of a loss-less transmission line having the characteristic impedance of 75 $\Omega$ and length of 1 cm is short-circuited. At 3 GHz, the input impedance at the other end of transmission line is

Medium 1 has the electrical permittivity $\xi_1$= 1.5 $\xi_0$ farad/m and occupies the region to the left of x = 0 plane. Medium 2 has the electrical permittivity $\xi_2$ = 2.5 $\xi_0$ farad/m and occupies the region to the right of x = 0 plane. If E₁ in medium 1 is E₁ = (2u_x -3u_y + 1u_z) volt/m, then E₂ in medium 2 is

A transmission line of characteristic impedance 50W is terminated in a load impedance Z_L. The VSWR of the line is measured as 5 and the first of the voltage maxima in the line is observed at a distance of $\dfrac{\lambda}{4}$from the load. The value of Z_L is

A load of 50$\Omega$is connected in shunt in a 2-wire transmission line of Z₀ = 50 $\Omega$as shown in the figure. The 2-port scattering parameter matrix (S-matrix) of the shunt element is

When a plane wave traveling in free-space is incident normally on a medium having $\epsilon_r$ = 4.0 the fraction of power transmitted into the medium is given by