GATE EC 2011 Electromagnetics Solution Q 3

GATE EC 2011 Electromagnetics Solution Q 3

The modes in a rectangular waveguide are denoted by TE_{mn}/TM_{mn} where m and n are the eigen numbers along the larger and smaller dimensions of the waveguide respectively. Which one of the following statements is TRUE?

a) The TM_{10} mode of the waveguide does not exist

b) The TE_{10} mode of the waveguide does not exist

c) The TM_{10\;\;}and\;the\;TE_{10} modes both exist and have the same cut-off frequencies

d) The TM_{10}\;and\;the\;TM_{01} modes both exist and have the same cut-off frequencies

Ans-(a)

Explanation

For rectangular wave guide TE_{mn} exist for all values of m and n except both zero.

For TE_{mn} to exist both values of m and n must be non zero.

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