An empty X-band (8.2–12.4 GHz) rectangular waveguide, with dimensions of 2.286 cmby 1.016 cm, is to be connected to an X-band waveguide of the same dimensions but filled with lossless

polystyrene (ɛr = 2.56). To avoid reflections, an Xband waveguide (of the same dimensions) quarter-wavelength long section is inserted between the two. Assume dominant-mode propagation and that matching is to be made at 10 GHz. Determine the: (a) Wave impedance of the quarterwavelength section waveguide. (b) Dielectric constant of the lossless medium that must be used to fill the quarter-wavelength section waveguide. (c) Length (in cm) of the quarterwavelength section waveguide.