A rectangular waveguide is filled with air with dimension $2.28 \mathrm{~cm} \times 1.01 \mathrm{~cm}$ is operated at $9.2 \mathrm{GHz}$ in dominant mode. Find cutoff frequency, guide wavelength, and characteristic impedance.

Solution:

Air-filled rectangular waveguide,

$ \begin{aligned} \therefore \mu_r & =1, \varepsilon_r=1 \text {. } \quad \mu=\mu_0, \quad \varepsilon=\varepsilon_0 \\ a \times b & =2.28 \mathrm{~cm} \times 1.01 \mathrm{~cm} \\ f & =9.2 \mathrm{c}_{\mathrm{Hz}} \end{aligned} $

mode of wave $=$ dominant le. $T E_{10}$ $ \begin{aligned} & T E_{m n}=T E_{10} …