Question 4.5.4: A rectangular waveguide with inner dimensions 6 cm x3 has be...

A rectangular waveguide with inner dimensions 6 cm x^{3} has been designed for a single mode operation. Find the possible frequency range of operation such that the lowest frequency is 5% above the cut-off and the highest frequency is 5% below the cutoff of the next higher mode.

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Given, b = 3 cm, a = 6 cm, a = 2b, Lowest TE _{10}

 

f_{c_{1}}=\frac{V_{0}}{2 a}=2.5 GHz

Next higher mode TE _{01} \text { or } TE _{20}

 

\begin{aligned}&f_{\text {lowest }}=1.05 \quad f_{c_{1}}=2.625 GHz , \\&f_{c_{2}}=\frac{V_{0}}{a}=5 GHz \\&f_{\text {highest }}=0.95 \quad f_{c_{2}}=4.75 GHz ,\end{aligned}

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