A rectangular waveguide with dimensions \(a=2.5\) cm, \(b=1\) cm is operating below 15 GHz. If the guide is filled with a medium characterized by \(\sigma=0\), \(\epsilon=4\epsilon_0\), \(\mu_r=1\), calculate the cutoff frequency of dominant mode?
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For rectangular waveguides,
\[
f_{c(TE_{10})}
=
\frac{c}{2a\sqrt{\mu_r\epsilon_r}}
\]
TE\(_{10}\) is always the dominant mode.