Question

An air filled rectangular waveguide with dimensions (2.286 cm × 1.016 cm) is operating in $T{E}_{10}$ mode at 10 GHz. The maximum power that can be transmitted through this waveguide without inducing dielectric breakdown is
(Assume that the dielectric breakdown occurs at a field strength of ${10}^6$V/m)

• A. 232 kW
• B. 182 kW
• C. 116 kW
• D. 164 kW

Answer 1

The correct option is C 116 kW

Power transmitted, $P=\frac{ab}{4}\frac{E^2}{2_{TE}}$

$Z_{TE}=\frac{T_0}{\sqrt{1-{\left(\frac{f_C}{f}\right)}^2}},f_c=\frac{C}{2a}=6.56GHz$

$=\frac{120\pi }{\sqrt{1-{\left(\frac{6.56}{10}\right)}^2}}\times 500\Omega$

$P=\frac{2.286\times 1.016\times {10}^{-4}}{4}\times \frac{{\left({10}^6\right)}^2}{500}=116128W=116.128kW$