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Official PYQ · 2015

GATE EC 2015 Set 1 Q53 — Transmission Lines

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The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the following expression Hz(x,y,z,t)=0.1 cos(25πx)  cos⁡(30.3 πy)  cos⁡(12π×109t−βz)  (A/m)H_z (x,y,z,t) = 0.1 \: cos(25 \pi x) \: \: \cos(30.3 \: \pi y) \: \: \cos(12 \pi \times 10^9 t- \beta z) \: \: (A/m)

The cross-sectional dimensions of the waveguide are give as a=0.08 ma=0.08 \: m and b=0.033 mb=0.033 \: m. The mode of propagation inside the waveguide is

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Answer: C

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