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The broad dimension of a waveguide is 1.0 in. and the narrów is 0.S n. Calculate the cutoff frequency and wavelength of the dominant mode.

The broad dimension of a waveguide is 1.0 in. and the narrów is 0.S n. Calculate the cutoff frequency and wavelength of the dominant mode.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The broad dimension of a waveguide is 1.0 in. and the narrów is 0.S n. Calculate the cutoff frequency and wavelength of the dominant mode.
Transcribed Image Text:The broad dimension of a waveguide is 1.0 in. and the narrów is 0.S n. Calculate the cutoff frequency and wavelength of the dominant mode.
Expert Solution
Step 1

Given:

  • The length of wave guide is a=1 in.
  • The breadth of wave guide is b=0.5 in.

The expression to determine the cut off frequency (f) of wave-guide is:

Physics homework question answer, step 1, image 1

Here, Ɛr and µr are the relative permittivity and permeability.

In dominant mode Ɛr= µr=1,

The speed of light is c=3X1010 cm/s.

Substitute all the known values in above equation.

Physics homework question answer, step 1, image 2

Thus, the cut off frequency of waveguide is 1.16X1010 Hz.

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