1
GATE ECE 1996
Subjective
+5
-0
A uniform plane wave having parallel polarization is obliquely incident on an air - dielectric interface as shown in Fig. If the wave has an electric field $$E = 10\,\,V/m$$, find
(i) The angle of incidence $${\theta _i}$$ for which there is no reflection of the wave.
(ii) The surface charge density at the interface.
(i) The angle of incidence $${\theta _i}$$ for which there is no reflection of the wave.
(ii) The surface charge density at the interface.
![GATE ECE 1996 Electromagnetics - Uniform Plane Waves Question 15 English](https://gateclass.cdn.examgoal.net/tGe9bu5EAjfEc4bPt/v1hnnbip2VNa0xOSWBtgFNtRjuSJj/O2eszpbQ8MHbVfX5xhU1OL/uploadfile.jpg)
2
GATE ECE 1996
MCQ (Single Correct Answer)
+2
-0.6
A transverse electromagnetic wave with circular polarization is received by a dipole antenna. Due to polarization mismatch, the power transfer efficiency from the wave to the antenna is reduced to about
3
GATE ECE 1996
MCQ (Single Correct Answer)
+2
-0.6
A 1 km long microwave link uses two antennas each having 30dB gain. If the power transmitted by one antenna is 1 W at 3 GHz, the power received by the other antenna is approximately
4
GATE ECE 1996
Subjective
+5
-0
In an air-filled rectangular waveguide, the vector electric field is given by
$$\mathop E\limits^ \to = \cos \,(20\,\pi \,y)\,\exp \,\,\left[ { - j\left( {{{40\,\,\pi } \over 3}} \right)\,z\, + j\,\omega \,t} \right]\,\hat i\,\,\,V/m$$
Find the vector magnetic field and the phase velocity of the wave inside the waveguide.
Paper analysis
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