1
GATE ECE 2014 Set 2
+1
-0.3
Which one of the following field patterns represents a TEM wave traveling in the positive $$x$$ direction?
A
$$E = + 8\widehat y,\,\,H = - 4\widehat z$$
B
$$E = - 2\widehat y,\,\,H = - 3\widehat z$$
C
$$E = + 2\widehat y,\,\,H = + 2\widehat z$$
D
$$E = - 3\widehat y,\,\,H = + 4\widehat z$$
2
GATE ECE 2014 Set 1
+1
-0.3
A two - port network has scattering parameters given by $$[S]$$ $$= \left[ {\matrix{ {{s_{11}}} & {{s_{12}}} \cr {{s_{21}}} & {{s_{22}}} \cr } } \right].$$
If the port - 2 of the two - port is short circuited, the $${{s_{11}}}$$ parameter for the resultant one - port network is
A
$${{{s_{11}} - {s_{11}}{s_{22}} + {s_{12}}{s_{21}}} \over {1 + {s_{22}}}}$$
B
$${{{s_{11}} + {s_{11}}{s_{22}} - {s_{12}}{s_{21}}} \over {1 + {s_{22}}}}$$
C
$${{{s_{11}} + {s_{11}}{s_{22}} + {s_{12}}{s_{21}}} \over {1 - {s_{22}}}}$$
D
$${{{s_{11}} - {s_{11}}{s_{22}} + {s_{12}}{s_{21}}} \over {1 - {s_{22}}}}$$
3
GATE ECE 2012
+1
-0.3
The electric field of a uniform plane electromagnetic wave in free spce, along the positive x direction, is given by $$\vec E = 10\left( {{{\widehat a}_y} + j{{\widehat a}_z}} \right){e^{ - j25x}}.$$ The frequency and polarization of the wave respectively are
A
$$1.2 GHz$$ and left circular
B
$$4 Hz$$ and left circular
C
$$1.2 GHz$$ and right circular
D
$$4 Hz$$ and right circular
4
GATE ECE 2012
+1
-0.3
A plane wave propagating in air with $$\vec E = \left( {8{{\widehat a}_x} + 6{{\widehat a}_y} + 5{{\widehat a}_z}} \right){\mkern 1mu} {\mkern 1mu} {e^{j\left( {\omega t + 3x - 4y} \right)}}{\mkern 1mu} {\mkern 1mu} V/m$$ is incident on a perfectly conducting slab positioned at $$x \le 0$$. The $$\overrightarrow E$$ field of the reflected wave is
A
$$\left( { - 8{{\widehat a}_x} - 6{{\widehat a}_y} - 5{{\widehat a}_z}} \right){\mkern 1mu} {e^{j\left( {\omega t + 3x + 4y} \right)}}{\mkern 1mu} {\mkern 1mu} V/m$$
B
$$\left( { - 8{{\widehat a}_x} + 6{{\widehat a}_y} - 5{{\widehat a}_z}} \right){\mkern 1mu} {e^{j\left( {\omega t + 3x + 4y} \right)}}{\mkern 1mu} {\mkern 1mu} V/m$$
C
$$\left( { - 8{{\widehat a}_x} - 6{{\widehat a}_y} - 5{{\widehat a}_z}} \right){\mkern 1mu} {e^{j\left( {\omega t - 3x - 4y} \right)}}{\mkern 1mu} {\mkern 1mu} V/m$$
D
$$\left( { - 8{{\widehat a}_x} + 6{{\widehat a}_y} - 5{{\widehat a}_z}} \right){\mkern 1mu} {e^{j\left( {\omega t - 3x - 4y} \right)}}{\mkern 1mu} {\mkern 1mu} V/m$$
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