Question: An air - filled rectangular waveguide has dimensions of a = 6 cma = 6 , text { cm } a = 6

An air-filled rectangular waveguide has dimensions of a=6cma =6\,\text{cm}a=6cm and b=4cmb =4\,\text{cm}b=4cm. The signal frequency is 3 GHz. Compute the following for the TE10\text{TE}_{10}TE10, TE01\text{TE}_{01}TE01, TE11\text{TE}_{11}TE11, and TM11\text{TM}_{11}TM11 modes:
a. Cutoff frequency
b. Wavelength in the waveguide
c. Phase constant and phase velocity in the waveguide
d. Group velocity and wave impedance in the waveguide

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