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Solved Problems-8

Problem-8
A rectangular waveguide carries an electromagnetic wave having a frequency of 4000 MHz. A standing wave indicator shows that the wavelength of the wave in the guide is 11.4 cm. What is the cut-off wavelength of the waveguide and the velocity at which energy is propagated along the guide?
Solution
Here, f = 4000 MHz, Description: 43898.png cm
 
Wavelength of the impressed signal is, Description: 43889.png
 
We have the relation,
Description: 43881.png
 
 
Description: 45307.png
 
So, the cut-off wavelength is 9.96 cm.
 
The velocity with which the energy travels within the guide is the group velocity.
 
The group velocity is given as,
 
Description: 43873.png
 





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