1
GATE EE 2005
+2
-0.6
Two networks are connected in cascade as shown in the Fig. With the usual notations the equivalent $$A,B,C$$ and $$D$$ constants are obtained. Given that, $$C$$ $$= 0.025\angle {45^ \circ },$$ the value of $${Z_2}$$ is
A
$$10\angle {30^ \circ }\Omega$$
B
$$40\angle - {45^ \circ }\,\,\Omega$$
C
$$1\,\,\Omega$$
D
$$0\,\,\Omega$$
2
GATE EE 2004
+2
-0.6
The $$Z$$ matrix of a $$2$$ $$-$$ port network is given by $$\left[ {\matrix{ {0.9} & {0.2} \cr {0.2} & {0.6} \cr } } \right].$$ The element $${Y_{22}}$$ vof the corresponding $$Y$$ matrix of the same network is given by
A
$$1.2$$
B
$$0.4$$
C
$$-0.4$$
D
$$1.8$$
3
GATE EE 2003
+2
-0.6
The $$h$$ $$-$$ parameters for a two $$-$$ port network are defined by
$$\left[ {\matrix{ {{E_1}} \cr {{{\rm I}_2}} \cr } } \right] = \left[ {\matrix{ {{h_{11}}} & {{h_{12}}} \cr {{h_{21}}} & {{h_{22}}} \cr } } \right]\left[ {\matrix{ {{{\rm I}_1}} \cr {{E_2}} \cr } } \right].$$
For the two $$-$$ port network shown in Fig. the value of $${h_{12}}$$ is given by
A
$$0.125$$
B
$$0.167$$
C
$$0.625$$
D
$$0.25$$
4
GATE EE 2002
+2
-0.6
A two $$-$$ port network, shown in Fig. is described by the following equations:
\eqalign{ & {{\rm I}_1} = {Y_{11}}\,\,{E_1} + {Y_{12}}\,\,{E_2} \cr & {{\rm I}_2} = {Y_{21}}\,\,{E_1} + {Y_{22}}\,\,{E_2} \cr}

The admittance parameters, $${Y_{11}},\,\,{Y_{12}},\,\,{Y_{21}}$$ and $${Y_{22}}$$ for the network shown are

A
$$0.5$$ $$mho,$$ $$1$$ $$mho,$$ $$2$$ $$mho$$ and $$1$$ $$mho$$ respectively
B
$${1 \over 3}\,\,mho,\,\, - {1 \over 6}\,mho,\,\, - {1 \over 6}\,mho$$ and $${1 \over 3}\,mho$$ respectively
C
$$0.5$$ $$mho,$$ $$0.5$$ $$mho,$$ $$1.5$$ $$mho$$ and $$2$$ $$mho$$ respectively
D
$$- {2 \over 5}\,\,mho,\,\, - {3 \over 7}\,mho,\,\,{3 \over 7}\,mho$$ and $${2 \over 5}\,mho$$ respectively
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