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A rectangular waveguide is to be constructed for single-mode operation at 3 GHz. The waveguide must...

A rectangular waveguide is to be constructed for single-mode operation at 3 GHz. The waveguide must be designed so that this operating frequency is 20% higher than the cutoff frequency of the lowest mode, and, at the same time, is 20% lower than the cutoff frequency of the next higher mode. The waveguide will be filled with a dielectric material with relative electrical permittivity of 2. Determine the cross-sectional dimensions, a and b, of the waveguide.

Answer: 4.2 cm x 2.8 cm

Please show all work to get the given answer.

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