Answer to Question #55828 in Electrical Engineering for Kim

Question

A dielectric-filled rectangular cavity resonator is made of silver tubing with dimensions of a=5 cm, b=2.5 cm and d=10 cm. The dielectric filling has parameters of εr=5 and tan δ=0, the silver tubing has a conductivity of σ = 6.3×107 S/m, and H0=0.5 A/m.

a) Determine the dominant mode and its resonant frequency.
b) Find the Q of the dominant mode.
c) Write the field expressions in phasor form for the dominant mode in terms of the given parameters.
d) Write the field expressions in phasor form for the dominant TM mode in terms of the given parameters