GATE EC 2022: Electromagnetics Quiz 14

The dispersion equation of a waveguide, which relates the wavenumber k to the frequency ω, is . where the speed of light c = 3 × 10⁸ m/s, and ω_o is a constant. If the group velocity is 2 × 10⁸ m/s, then the phase velocity is

A 0.5 λ length of 50Ω line is driven by sinusoidal voltage source V_S = 6  0° V (peak) and Z_g = 75Ω. If the line is terminated in Z_L = 60Ω, then the time average power delivered to load is

3 parallel wires a, b, c carry charges +2q, –q, –q per unit length respectively. Points in the field are specified by the distances r₁, r₂, r₃ from the three wires. Equation for the equipotential surface is given by.

A charged particle moves with a uniform velocity m/s in a region where electric field v/m and magnetic field . If velocity of the particle is to be remain constant, the value of = _______

A parallel plate guide is partially filled with two lossless dielectrics as shown below. At a certain frequency the TM mode propagates through the guide without suffering any reflective loss at the dielectric interface.