The longitudinal component of the magnetic field inside an air – filled rectangular wave guide made of a perfect electric conductor is given by the following expression H_{z} (x,y,z,t) = 0.1\cos ⁡ (25\pi x) \cos ⁡ (30.3\pi y) \cos ⁡ (12x \times 10^{9}t−\beta z) (\frac{A}{m}) The cross – sectional dimensions if the wave guide are given as a = 0.08m and b = 0.033m. The mode of propagation inside the waveguide is

GATE Electronics and Communications (EC) 2015 Shift 1 Solved Paper

Question : 63 of 65

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The longitudinal component of the magnetic field inside an air – filled rectangular wave guide made of a perfect electric conductor is given by the following expression

H_{z} (x,y,z,t) = 0.1\cos ⁡ (25π x) \cos ⁡ (30.3π y) \cos ⁡ (12x × 10^{9}t−β z) (\;{A}/{m})

The cross – sectional dimensions if the wave guide are given as

a = 0.08m

and

b = 0.033m

. The mode of propagation inside the waveguide is

$TM_{12}$
$TM_{21}$
$TE_{21}$
$TE_{12}$

Validate

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