1
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Faraday's law of electromagnetic induction is mathematically described by which one of the following equations?
A
$$\nabla \bullet \,\mathop B\limits^ \to = \,0$$
B
$$\nabla \bullet \,\mathop D\limits^ \to = \,{\rho _v}$$
C
$$\nabla \, \times \,\mathop E\limits^ \to = \, - {{\partial \,\mathop B\limits^ \to \,} \over {\partial t}}$$
D
$$\nabla \, \times \,\mathop H\limits^ \to = \,\sigma \mathop E\limits^ \to + {{\partial \,\mathop D\limits^ \to \,} \over {\partial t}}$$
2
GATE ECE 2016 Set 3
Numerical
+2
-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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3
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-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
A
$$T{E_{01}}\,\, < \,T{E_{10}}\, < \,T{E_{11}}\,\, < \,T{E_{20}}$$
B
$$T{E_{20}}\,\, < \,T{E_{11}}\, < \,T{E_{10}}\,\, < \,T{E_{01}}$$
C
$$T{E_{10}}\,\, < \,T{E_{20}}\, < \,T{E_{01}}\,\, < \,T{E_{11}}$$
D
$$T{E_{10}}\,\, < \,T{E_{11}}\, < \,T{E_{20}}\,\, < \,T{E_{01}}$$
4
GATE ECE 2016 Set 3
Numerical
+2
-0
A radar operating at 5 GHz uses a common antenna for transmission and reception. The antenna has a gain of 150 and is aligned for maximum directional radiation and reception to a target 1 km away having radar cross-section of 3m2. If it transmits 100 kW, then the received power (in $$\mu W$$) is ______ .
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