GATE EC 1987 Electromagnetics Solution Q 4

GATE EC 1987 Electromagnetics Solution Q 4

The cut off frequency of a waveguide depends upon

a) The dimensions of waveguide

b) The dielectric property of the medium in the waveguide

c) The characteristic impedance of the waveguide

d) The transverse and axial components of the fields

Ans- a and b

Explanation

f_c=\frac{v_0}{2\pi}\sqrt{\left(\frac{m\pi}a\right)^2+\left(\frac{n\pi}b\right)^2}

Here a and b are the dimensions of the waveguide.

Also vo is the wave velocity given by,

v_0=\frac c{\sqrt{\mu_r\in_r}}

Hence depends on the medium.

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