Wave Motion

If the electric field intensity associated with a uniform plane electromagnetic wave traveling in a perfect dielectric medium is given by E(z,t) = 10 cos (2^{_{$\pi$$\times$}} 10⁷t = 0.1^_$\pi$z) volt/m, then the velocity of the traveling wave is

A rectangular waveguide having 10 TE mode as dominant mode is having a cutoff frequency of 18-GHz for the TE₃₀ mode. The inner broad-wall dimension of the rectangular waveguide is:

A transmission line of characteristic impedance 50 Ω is terminated by a 50 Ωload. When excited by a sinusoidal voltage source at 10 GHz, the phase difference between two points spaced 2 mm apart on the line is found to be $\frac{2 \pi}{\lambda}$ radians. The phase velocity of the wave along the line is

An air-filled rectangular waveguide has inner dimensions of 3 cm ^X 2 cm. The wave impedance of the TE₂₀ mode of propagation in the waveguide at a frequency of 30 GHz is (free space impedance _{^$\eta_0$}= 377^$\Omega$)

If the electric field of a plane wave is ^{$\overrightarrow{E}$} (z, t) = x³ cos (wt - kz + 30^o) – y⁴ sin (wt - kz + 45^o) (mV/m), the polarization state of the plane wave is

For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in

A message signal m(t) = A_m sin(2^_$\pi$ f_mt) is used to modulate the phase of a carrier A_c cos (2^_$\pi$ f_c t) to get the modulated signal y(t) = A_c cos (2^_$\pi$ f_c t + m(t)). The bandwidth of y(t)

The electric field component of a time harmonic plane EM wave traveling in a nonmagnetic lossless dielectric medium has an amplitude of 1 V/m. If the relative permittivity of the medium is 4, the magnitude of the time-average power density vector (in W/m2) is

Directions: Carry One Mark Each.

The electric field of a uniform plane electromagnetic wave is

$\overrightarrow{E} = (\overrightarrow{a_z} + j4 \overrightarrow{a_y})exp[j(2 \pi \times 10^7 t - 0.2z)]$

The polarization of the wave is

Directions: Carry Two Marks Each.

The electric field of a plane wave that is propagating in a lossless non-magnetic medium is given by

E(z, t) = a_x 5 cos(2^_$\pi$ x 10⁹ t + ^_$\beta$z) + a_y3 cos x (2^_$\pi$ x 10⁹t + ^_$\beta$z - ^{$\frac{\pi}{2}$})

The polarization is