1
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters $${V_1}$$, $${V_2}$$ and ammeter $${A_1}$$, $${A_2}$$ (all assumed to be ideal), as indicated. Under following switch conditions, the readings obtained are:

(i) $${S_1} - open,\,\,\,\,{S_2} - closed$$
$${A_1} = 0\,A,\,\,\,\,\,\,{V_1} = \,4.5\,\,V,$$
$${V_2}\, = \,1.5\,V,\,\,\,\,{A_2}\, = \,1\,A$$

(ii) $${S_1} - Closed,\,\,\,\,{S_2} - Open$$
$${A_1} = 4\,A,\,\,\,\,\,\,{V_1} = \,6\,\,V,$$
$${V_2}\, = \,6\,V,\,\,\,\,{A_2}\, = \,0\,A$$

GATE ECE 2008 Network Theory - Two Port Networks Question 25 English The h-parameter matrix for this network is
A
$$\left[ {\matrix{ { - 3} & 3 \cr { - 1} & {0.67} \cr } } \right]$$
B
$$\left[ {\matrix{ { - 3} & -1 \cr { 3} & {0.67} \cr } } \right]$$
C
$$\left[ {\matrix{ { 3} & 3 \cr { 1} & {0.67} \cr } } \right]$$
D
$$\left[ {\matrix{ { 3} & 1 \cr { - 3} & {-0.67} \cr } } \right]$$
2
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.67
A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters $${V_1}$$, $${V_2}$$ and ammeter $${A_1}$$, $${A_2}$$ (all assumed to be ideal), as indicated. Under following switch conditions, the readings obtained are:

(i) $${S_1} - open,\,\,\,\,{S_2} - closed$$
$${A_1} = 0\,A,\,\,\,\,\,\,{V_1} = \,4.5\,\,V,$$
$${V_2}\, = \,1.5\,V,\,\,\,\,{A_2}\, = \,1\,A$$

(ii) $${S_1} - Closed,\,\,\,\,{S_2} - Open$$
$${A_1} = 4\,A,\,\,\,\,\,\,{V_1} = \,6\,\,V,$$
$${V_2}\, = \,6\,V,\,\,\,\,{A_2}\, = \,0\,A$$

GATE ECE 2008 Network Theory - Two Port Networks Question 26 English The z-parameter matrix for this network is
A
$$\left[ {\matrix{ {1.5} & {1.5} \cr {4.5} & {1.5} \cr } } \right]$$
B
$$\left[ {\matrix{ {1.5} & {4.5} \cr {1.5} & {4.5} \cr } } \right]$$
C
$$\left[ {\matrix{ {1.5} & {4.5} \cr {1.5} & {1.5} \cr } } \right]$$
D
$$\left[ {\matrix{ {4.5} & {1.5} \cr {1.5} & {4.5} \cr } } \right]$$
3
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The driving point impedance of the following network is given by $$Z(s) = {{0.2\,s} \over {{s^2}\, + \,0.1\,s\, + \,2}}$$. The component values are GATE ECE 2008 Network Theory - Two Port Networks Question 27 English
A
L = 5H, R = 0.5 $$\Omega $$, C = 0.1 F
B
L = 0.1 H, R = 0.5 $$\Omega $$, C = 5 F
C
L = 5H, R = 2 $$\Omega $$, C = 0.1 F
D
L = 0.1 H, R = 2 $$\Omega $$, C = 5 F
4
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The following series RLC circuit with zero initial conditions is excited by a unit impulse function $$\delta$$(t). GATE ECE 2008 Network Theory - Transient Response Question 32 English For t > 0, the voltage across the resistor is
A
$$\frac1{\sqrt3}\left(e^{-\frac{\displaystyle\sqrt3}{\displaystyle2}t}-\;e^{-\frac12t}\right)$$
B
$$e^{-\frac12t}\left[\cos\left(\frac{\sqrt3}2t\right)\;-\;\frac1{\sqrt3}\sin\left(\frac{\sqrt3}2t\right)\right]$$
C
$$\frac2{\sqrt3}e^{-\frac{\displaystyle1}{\displaystyle2}t}\sin\left(\frac{\sqrt{3t}}2\right)$$
D
$$\frac2{\sqrt3}e^{-\frac{\displaystyle1}{\displaystyle2}t}\cos\left(\frac{\sqrt{3t}}2\right)$$