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Solved Problems-5

A rectangular waveguide with dimensions 2.42 cm × 1.12 cm supporting TE10 mode at 6 GHz is filled with a dielectric of relative permittivity εr. What are the limits on εr if only the dominant mode propagates?
Here, a = 2.42 cm, b = 1.12 cm, m = 1, n = 0, f = 6 GHz
If only the dominant mode is to propagate, the cut-off frequency should be equal to the operating frequency.
Description: 65731.png

Also, the cut-off frequency can be given as,
Description: 65793.png
So, the limits are Description: 65807.png

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