GATE EC 2022 Set 1 — Question 52
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Electromagnetics → Waveguides & Optical Fibers → Cutoff Frequency & Guide Wavelength
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Question
A waveguide consists of two infinite parallel plates (perfect conductors) at a separation of cm, with air as the dielectric. Assume the speed of light in air to be m/s. The frequency/frequencies of TM waves which can propagate in this waveguide is/are _______.
- A.Hz
- B.Hz
- C.Hz
- D.Hz
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Correct answer
(MTA)
Solution
For a parallel plate waveguide with separation , the cut-off frequency for the mode is given by:Given cm m and m/s.For TM waves to propagate, the operating frequency must be greater than the cut-off frequency of the dominant mode ( for TM modes).
Dominant mode cut-off frequency Hz.
Checking the options:
(A) Hz Hz Hz (Propagates)
(B) Hz Hz Hz (Does not propagate)
(C) Hz Hz (Propagates)
(D) Hz Hz Hz (Does not propagate)
Thus, options (A) and (C) are correct.
Dominant mode cut-off frequency Hz.
Checking the options:
(A) Hz Hz Hz (Propagates)
(B) Hz Hz Hz (Does not propagate)
(C) Hz Hz (Propagates)
(D) Hz Hz Hz (Does not propagate)
Thus, options (A) and (C) are correct.
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