Dominant Mode of TM Wave - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

402

Pages:

6
Author:

Jabin F.

Dominant mode of TM wave: TM11 If both the waves (TE & TM) are possible in wave guide and a>b, then Dominant made is - (a) TE10 (b) TE10 (c) TE11 (d) TM10 (e) TM10 (f) TM11 Ques-58 (A) Page-90 [T\cdot E_{11}\rightarrow] [\frac{m^{-}}{a}=0.3~cm^{-1}] [\frac{m}{b}=0.4~cm^{\prime}] [m=1,] [n=1] bcoz xandy in cm. (option-a) (B) [(f_{c})_{h}=\frac{c}{2}\sqrt{(\frac{m}{a})^{2}+(\frac{m}{b})^{2}}] [=\frac{3\times10^{10}}{2}\int{(0.3)}^{2}+(0.4)^{2}}.] \[=\frac{3\times10^{10}}{2}\sqrt{0\cdot09+0\cdot16}\] \[=\frac{3\times10^{10}\times0\cdot5}{2}=\frac{30}{4}\times10^{9}Hz\] \[=7.56Hz\] \[f>(fc)_{||}\Rightarrow\underline{popogate\] →(option-d) (f> 7.5 GHz) F [a=\frac{1}{0\cdot3}=] 3.33CM [b=\frac{1}{0.4}\approx2.5~cm] [K^{2}=k^{2}+\frac{1}{c^{2}}(\omega^{2}-\omega_{c}^{2})]

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