Find TM waves mode in a rectangular waveguide

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SUMMARY

The discussion focuses on identifying the correct Transverse Magnetic (TM) wave mode in a rectangular waveguide. The user initially calculated TM(5, 2.5), which is incorrect due to the requirement that the mode indices must be integers. The correct mode, as referenced from a textbook, is TM(2, 1). The conversation also highlights a potential typo in the textbook's problem statement, which lacks clarity on the units for the coordinates.

PREREQUISITES
  • Understanding of waveguide theory
  • Familiarity with Transverse Magnetic (TM) modes
  • Knowledge of rectangular waveguide dimensions
  • Ability to interpret mathematical indices in wave equations
NEXT STEPS
  • Review the concept of TM modes in rectangular waveguides
  • Study the errata for the specific textbook referenced
  • Learn about the mathematical derivation of waveguide modes
  • Explore the impact of coordinate systems on waveguide problems
USEFUL FOR

Students and professionals in electrical engineering, particularly those studying waveguide theory and electromagnetic wave propagation.

baby_1
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Homework Statement


5538343900_1420641051.jpg


Homework Equations


%5Cpi%20x%29Sin%2840n%5Cpi%20y%29Cos%282%5Cpi*10%5E%7B10%7Dt-%5Cbeta%20z%29%3D%3Em%3D5%2Cn%3D2.5.gif
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The Attempt at a Solution


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Hello
As you see my solution I found TM(5 , 2.5) that is incorrect because n should be integer not float number.In Addition when I check book solution I found TM mode is TM(2,1)
what is my mistake?
 
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Hi baby_1,

Have you checked the errata for the edition of the book you are using. Seems to me there is a typo in their problem statement (which doesn't even tell you what units to use for the coordinates x and y. What textbook is this from?

Cheers,
Gabba
 

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