Find TM waves mode in a rectangular waveguide

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The discussion revolves around finding the correct TM wave modes in a rectangular waveguide. The user initially calculated TM(5, 2.5), which is incorrect due to the requirement for integer values. They reference a book solution that states the correct mode is TM(2, 1). Another participant suggests checking the book's errata for potential typos and notes the lack of specified units for the coordinates. The conversation highlights the importance of verifying source material for accuracy in waveguide problems.
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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