1
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+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
$${{{s_{11}} - {s_{11}}{s_{22}} + {s_{12}}{s_{21}}} \over {1 - {s_{22}}}}$$
2
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a redution of the spacing between the plates by a factor of two results in
A
halving of v and no change in Z
B
no changes in v and halving of Z
C
no change in both v and Z
D
halving of both v and Z
3
GATE ECE 2014 Set 1
Numerical
+2
-0
In spherical coordinates, let $${{{\widehat a}_{_0}},\,{{\widehat a}_{_\phi }}}$$ denote unit vectors along the $$\theta ,\,\,\phi $$directions. $$$E = {{100} \over r}\sin \,\theta \cos \left( {\omega t - \beta r} \right){\widehat a_{_\theta }}\,\,V/m$$$
and $$$H = {{0.265} \over r}\sin \,\theta \cos \left( {\omega t - \beta r} \right){\widehat a_{_\phi }}\,\,A/m$$$

Represent the electric and magnetic field components of the EM wave at large distances $$r$$ from a dipole antenna, in free space. The average power $$(W)$$ crossing the hemispherical shell located at $$r = 1\,\,km$$, $$0 \le \theta \le \pi /2$$ _______.

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4
GATE ECE 2014 Set 1
Numerical
+1
-0
When the optical power incident on a photodiode is 10μW and the responsivity is 0.8 A/W, the photocurrent generated (in μA) is ________.
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