GATE EC 2003 Electromagnetics Solution Q 6

GATE EC 2003 Electromagnetics Solution Q 6

A rectangular metal wave guide filled with a dielectric material of relative permittivity \in_r=4 has the inside dimensions 3.0\;cm\times1.2\;cm. The cut-off frequency for the dominant mode is____.

a) 2.5 GHz

b) 5.0 GHz

c) 10.0 GHz

d) 12.5 GHz

Ans-(a)

Explanation

f_c=\frac v{2a}=\frac{1.5\times10^8}{6\times10^{-2}}=2.5\;GHz v=\frac c{\sqrt{\varepsilon_r}}

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