GATE ECE 2016 Set 3 | Waveguides Question 3 | Electromagnetics

GATE ECE 2016 Set 3

MCQ (Single Correct Answer)

-0.6

Consider an air-filled rectangular waveguide with dimensions a = 2.286 cm and b = 1.016 cm. The increasing order of the cut-off frequencies for different modes is

$$T{E_{01}}\,\, < \,T{E_{10}}\, < \,T{E_{11}}\,\, < \,T{E_{20}}$$

$$T{E_{20}}\,\, < \,T{E_{11}}\, < \,T{E_{10}}\,\, < \,T{E_{01}}$$

$$T{E_{10}}\,\, < \,T{E_{20}}\, < \,T{E_{01}}\,\, < \,T{E_{11}}$$

$$T{E_{10}}\,\, < \,T{E_{11}}\, < \,T{E_{20}}\,\, < \,T{E_{01}}$$

GATE ECE 2016 Set 3

Numerical

-0

Consider an air-filled rectangular waveguide with dimensions a = 2.286cm and b = 1.016cm. At 10GHz operating frequency, the value of the propagation constant (per meter) of the corresponding propagation mode is _____________________

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GATE ECE 2015 Set 2

Numerical

-0

An air-filled rectangular waveguide of internal dimension $$a\,\,cm\,\, \times \,\,b\,\,cm$$ (a > b) has a cutoff frequency of 6 GHz for the dominant $$T{E_{10}}$$ mode. For the same waveguide, if the cutoff frequency of the $$T{E_{11}}$$ mode is 15 GHz, the cutoff frequency of the $$T{E_{01}}$$ mode in GHz is _____________

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GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.6

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 $${H_z}(x,\,y,\,z,\,t) = \,0.1\,\cos \,(25\,\,\pi \,x)\,\cos \,(30.3\,\pi y)$$ $$\cos \,(12\,\pi \, \times \,{10^9}\,t\, - \beta \,z)(A/m)$$

The cross-sectional dimemsions of the waveguide are given as a = 0.08 m and b = 0.033 m. The mode of propagation inside the waveguide is

$$T{M_{12}}$$

$$T{M_{21}}$$

$$T{E_{21}}$$

$$T{E_{12}}$$

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