GATE EC 2017 Set 2 — Question 54
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Electromagnetics → Waveguides & Optical Fibers → Cutoff Frequency & Guide Wavelength
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Question
Standard air-filled rectangular waveguides of dimensions cm and cm are designed for radar applications. It is desired that these waveguides operate only in the dominant mode with the operating frequency at least above the cutoff frequency of the mode but not higher than of the next higher cutoff frequency. The range of the allowable operating frequency is
Correct answer
(B) 8.19 GHz ≤ f ≤ 12.45 GHz
Solution
The cutoff frequency for the mode in a rectangular waveguide is given by:For the dominant mode:The next higher modes are and .The next higher cutoff frequency is GHz.
Lower limit of operating frequency: .
Upper limit of operating frequency: .
Thus, the range is .
Lower limit of operating frequency: .
Upper limit of operating frequency: .
Thus, the range is .
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