1
GATE ECE 2010
+1
-0.3
A transmission line has a characteristic impedance of 50 $$\Omega$$ and a resistance of 0.1 $$\Omega$$/m. If the line is distortionless, the attenuation constant (in Np/m) is
A
500
B
5
C
0.014
D
0.002
2
GATE ECE 2010
+1
-0.3
If the scattering matrix [S] of a two port network is $$\left[ S \right] = \left[ {\matrix{ {0.2\,\angle \,\,{0^ \circ }} & {0.9\,\,\angle \,\,{{90}^ \circ }} \cr {0.9\,\angle \,\,{{90}^ \circ }} & {0.1\,\angle \,{{90}^ \circ }} \cr } } \right]$$$then the network is A lossless and reciprocal B lossless but not reciprocal C not lossless but reciprocal D neither lossless nor reciprocal 3 GATE ECE 2010 MCQ (Single Correct Answer) +2 -0.6 In the circuit shown, all the transmission line sections are lossless. The Voltage Standing Wave Ration (VSWR) on the 60W line is A 1.00 B 1.64 C 2.50 D 3.00 4 GATE ECE 2010 MCQ (Single Correct Answer) +2 -0.6 A plane wave having the electric field component $${\overrightarrow E _i} = 24\,\,\cos \,\,\left( {3 \times {{10}^8}\,t - \beta \,y} \right){\widehat a_z}\,\,V/m$$$
and traveling in free space is incident normally on a lossless medium with $$\mu = {\mu _0}$$ and $$\varepsilon = 9\,\,{\varepsilon _0},$$ which occupies the region $$y \ge 0.$$ The reflected magnetic field component is given by
A
$${1 \over {10{\mkern 1mu} \pi }}\cos {\mkern 1mu} {\mkern 1mu} \left( {3 \times {{10}^8}{\mkern 1mu} t - y} \right)\hat a{\,_x}{\mkern 1mu} {\mkern 1mu} A/m$$
B
$${1 \over {20{\mkern 1mu} \pi }}\cos {\mkern 1mu} {\mkern 1mu} \left( {3 \times {{10}^8}{\mkern 1mu} t - y} \right)\hat a{\,_x}{\mkern 1mu} {\mkern 1mu} A/m$$
C
$$- {1 \over {20{\mkern 1mu} \pi }}\cos {\mkern 1mu} {\mkern 1mu} \left( {3 \times {{10}^8}{\mkern 1mu} t - y} \right)\hat a{\,_x}{\mkern 1mu} {\mkern 1mu} A/m$$
D
$$- {1 \over {10{\mkern 1mu} \pi }}\cos {\mkern 1mu} {\mkern 1mu} \left( {3 \times {{10}^8}{\mkern 1mu} t - y} \right)\hat a{\,_x}{\mkern 1mu} {\mkern 1mu} A/m$$
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