GATE EC 2026 Set 1 — Question 33
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Electromagnetics → Waveguides & Optical Fibers → Cutoff Frequency & Guide Wavelength
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Question
The cutoff frequency (in GHz) for the dominant mode of an air-filled rectangular waveguide of inner dimension is __. (rounded off to two decimal places).
Correct answer
20.5 to 21.5
Solution
For a rectangular waveguide with dimensions (where ), the cutoff frequency for the mode is given by:For the dominant mode, and . The formula simplifies to:Given dimensions are and . Since , the width is .
First, convert the dimension from inches to meters:Using the speed of light in free space :If using a more precise value for the speed of light ():Rounding to two decimal places, the value is approximately or .
First, convert the dimension from inches to meters:Using the speed of light in free space :If using a more precise value for the speed of light ():Rounding to two decimal places, the value is approximately or .
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