1
GATE ECE 2004
+2
-0.6
For the circuit shown in Figure, the initial conditions are zeros. Its transfer function $$H(s) = {{{V_c}\,(s)} \over {{V_i}\,(s)}}$$ is
A
$${1 \over {{s^2}\, + \,{{10}^6}\,s\, + \,{{10}^6}}}$$
B
$${{{{10}^6}} \over {{s^2}\, + \,{{10}^3}\,s\, + \,{{10}^6}}}$$
C
$${{{{10}^3}} \over {{s^2}\, + \,{{10}^3}\,s\, + \,{{10}^6}}}$$
D
$${{{{10}^6}} \over {{s^2}\, + \,{{10}^6}\,s\, + \,{{10}^6}}}$$
2
GATE ECE 2003
+2
-0.6
The impedance parameters Z11 and Z12 of the two-port network in figure are
A
Z11 = 2.75Ω and Z12 =0.25Ω
B
Z11 = 3Ω and Z12 =0.5Ω
C
Z11 = 3Ω and Z12 =0.25Ω
D
Z11 = 2.25Ω and Z12 =0.5Ω
3
GATE ECE 2003
+2
-0.6
The driving-point impedance Z(s) of a network has the pole-zero locations as shown in figure. If Z(0) = 3, then Z(s) is
A
$${{3\,(s + 3)} \over {{s^2}\, + \,2s\, + 3}}$$
B
$${{2\,(s + 3)} \over {{s^2}\, + \,2s\, + 2}}$$
C
$${{3\,(s - 3)} \over {{s^2}\, - \,2s\, - 3}}$$
D
$${{2\,(s - 3)} \over {{s^2}\, - \,2s\, - 3}}$$
4
GATE ECE 2001
+2
-0.6
The Z parameters $${Z_{11}}$$ and $${Z_{21}}$$ for the 2-port network in Fig. are
A
$${Z_{11}} = - {6 \over {11}}\,\Omega ;\,\,{Z_{21}}\, = \,{{16} \over {11}}\,\Omega$$
B
$${Z_{11}} = {6 \over {11}}\,\Omega ;\,\,{Z_{21}}\, = \,{{4} \over {11}}\,\Omega$$
C
$${Z_{11}} = {6 \over {11}}\,\Omega ;\,\,{Z_{21}}\, = \,-{{16} \over {11}}\,\Omega$$
D
$${Z_{11}} = {4 \over {11}}\,\Omega ;\,\,{Z_{21}}\, = \,{{4} \over {11}}\,\Omega$$
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