A rectangular waveguide has dimensions as a=12cm and b=4cm and medium =0, r = 2, r= 4.

A rectangular waveguide has dimensions as a=12cm and b=4cm and

medium σ=0, μr = 2, εr= 4.

Given

Hz= 10 cos(25 πy) cos (50 πy ) cos(π×10^10 t -βz) A/m.

Determine:

(a) Propagated mode and operating frequency

(b) Cut off frequency

(c) Phase constant β

(d) Intrinsic wave impedance