GATE EC 2016 Set 3 — Question 62
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Electromagnetics → Waveguides & Optical Fibers → Cutoff Frequency & Guide Wavelength
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Question
Consider an air-filled rectangular waveguide with dimensions and . At operating frequency, the value of the propagation constant (per meter) of the corresponding propagating mode is __________
Correct answer
155 to 162
Solution
For an air-filled rectangular waveguide, the cut-off frequency for the dominant mode is given by:Given and :Since the operating frequency is greater than , the mode is propagating. The propagation constant for a lossless waveguide is:Substituting the values:The value of the propagation constant is approximately .
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