A uniform plane wave travelling in air is incident on the plane boundary between air and another dielectric medium with ε_r = 4. The reflection coefficient for the normal incidence is

A circular waveguide carries TE₁₁ mode whose radial electric-field is given by
E_r = E ₀J₁ (r) sin φ V/m
where 'r' is the radial distance in cm, from the waveguide axis. The cut-off wavelength of the mode is

A transmission line of characteristic impedance z₀ = 50 Ω. Phase Velocity = 2 x 10⁸ m/sec, and length l = 1 m is terminated by a load z₁ = (30 - j 40) ohms. The input impedance of the line for a frequency of 100 MHz will be

A medium of relative permittivity ε_r2 = 2 forms an interface with free space. A point source of EM energy is located in the medium at a depth of 1 meter from the interface. Due to the total internal reflection, the transmitted beam has a circular cross-section over the interface. The area of the beam cross section at the interface is given by

The incidence from dielectric medium 1 (ε₁) into dielectric medium 2 (ε₂), Brewster angle θ_B and the corresponding angle of transmission θ_t for will be respectively