1
GATE ECE 1994
MCQ (Single Correct Answer)
+1
-0.3
A plane electromagnetic wave traveling along the +z-direction, has its electric field given by Ex = 2 cos $$\left( {\omega t} \right)$$ and Ey = 2 cos $$\left( {\omega t + {{90}^ \circ }} \right)$$ the wave is
A
linearly polarized
B
right circularly polarized
C
left circularly polarized
D
elliptically polarized
2
GATE ECE 1994
Subjective
+5
-0
A wave traveling in the $$+Z$$-direction, is the resultant of two linearly polarized components, $${E_x}\,\,\, = \,\,\,\,\,\,3$$ $$\,\,\,\,\cos \omega t$$ and $$\,{E_y}\,\,\,\, = \,\,\,2\,\cos \,\left( {\omega t + {{45}^ \circ }} \right)$$

Determine
(1) The axial ratio
(2) The angle between the major axis of the polarization ellipse and the $$+x$$-axis.

3
GATE ECE 1994
Fill in the Blanks
+1
-0
The interior of a $${{20} \over 3}\,\,cm\,\, \times \,\,{{20} \over 4}\,\,cm$$ rectangular waveguide is completely filled with a dielectric of $${ \in _r} = 4$$. Waves of free space wave-lengths shorter than .........can be propagated in the $$T{E_{11}}$$ mode.
4
GATE ECE 1994
Subjective
+5
-0
A rectangular hollow metal waveguide of internal cross-section of $$7.366\,\,cm\,\, \times \,\,3.556\,cm$$ carries a 3 GHz signal in the $$T{E_{10}}$$-mode. Calculate the maximum power handling capability of the waveguide assuming the maximum permissible electric field inside the waveguide to be 30 kV/cm
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