GATE ECE 2008 | Two Port Networks Question 18 | Network Theory

GATE ECE 2008

MCQ (Single Correct Answer)

-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 19 English

The h-parameter matrix for this network is

$$\left[ {\matrix{ { - 3} & 3 \cr { - 1} & {0.67} \cr } } \right]$$

$$\left[ {\matrix{ { - 3} & -1 \cr { 3} & {0.67} \cr } } \right]$$

$$\left[ {\matrix{ { 3} & 3 \cr { 1} & {0.67} \cr } } \right]$$

$$\left[ {\matrix{ { 3} & 1 \cr { - 3} & {-0.67} \cr } } \right]$$

GATE ECE 2008

MCQ (Single Correct Answer)

-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 21 English

GATE ECE 2008 Network Theory - Two Port Networks Question 21 English

L = 5H, R = 0.5 $$\Omega $$, C = 0.1 F

L = 0.1 H, R = 0.5 $$\Omega $$, C = 5 F

L = 5H, R = 2 $$\Omega $$, C = 0.1 F

L = 0.1 H, R = 2 $$\Omega $$, C = 5 F

GATE ECE 2008

MCQ (Single Correct Answer)

-0.6

(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 20 English

The z-parameter matrix for this network is

$$\left[ {\matrix{ {1.5} & {1.5} \cr {4.5} & {1.5} \cr } } \right]$$

$$\left[ {\matrix{ {1.5} & {4.5} \cr {1.5} & {4.5} \cr } } \right]$$

$$\left[ {\matrix{ {1.5} & {4.5} \cr {1.5} & {1.5} \cr } } \right]$$

$$\left[ {\matrix{ {4.5} & {1.5} \cr {1.5} & {4.5} \cr } } \right]$$

GATE ECE 2006

MCQ (Single Correct Answer)

-0.6

A two-port network is represented by ABCD parameters given by $$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \,\left[ {\matrix{ A & B \cr C & D \cr } } \right]\,\left[ {\matrix{ {{V_2}} \cr { - \,{I_2}} \cr } } \right]$$

If port-2 is terminated by $${R_L}$$, the input impedance seen at port-1 is given by

$${{A\, + \,B{R_L}} \over {C + \,D{R_L}}}$$

$${{\,A{R_L} + \,C} \over {B{R_L}\, + D}}$$

$${{\,D{R_L} + \,A} \over {\,B{R_L} + C}}$$

$${{\,B + A{R_L}} \over {D + \,C{R_L}}}$$

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