Two Port Networks · Network Theory · GATE ECE

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Marks 1

GATE ECE 2022
A linear 2-port network is shown in Fig. (a). An ideal DC voltage source of 10 V is connected across Port 1. A variable resistance R is connected acro...
GATE ECE 2018
The ABCD matrix for a two-port network is defined by : $$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \left[ {\matrix{ A &...
GATE ECE 2016 Set 3
The z-parameter matrix for the two-port network shown is $$$\left[ {\matrix{ {2\,j\,\omega } & {j\,\omega } \cr {j\,\omega } & {3\, + ...
GATE ECE 2016 Set 1
Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A&B\\C&D\end{bmatrix}$$. If the network is reciprocal, then
GATE ECE 2015 Set 2
The 2-port admittance matrix of the circuit shown is given by ...
GATE ECE 2010
For the two-port network shown below, the short-circuit admittance parameter matrix is ...
GATE ECE 2009
If the transfer function of the following network is $$\,{{{V_0}(s)} \over {{V_i}(s)}} = {1 \over {2\, + \,sCR}}$$ The value of the load resistance ...
GATE ECE 2005
The ABCD parameters of an ideal n:1 transformer shown in Fig. are $$\left[ {\matrix{ n & 0 \cr 0 & X \cr } } \right]$$. The value ...
GATE ECE 2001
The admittance parameter Y12 in the 2-port network in Figure is ...
GATE ECE 2001
If each branch of a Delta circuit has impedance $$\sqrt 3 \,Z$$, then each branch of the equivalent Wye circuit has impedance
GATE ECE 1999
A 2-port network is shown in figure. The parameter $${h_{21}}$$ for this network can be given by ...
GATE ECE 1998
The short-circuit admittance matrix of a two-port network is $$$\begin{bmatrix}0&-\frac12\\\frac12&0\end{bmatrix}$$$ The two port network is
GATE ECE 1994
The condition, that a 2-port network is reciprocal, can be expressed in terms of its ABCD parameters as ...............

Marks 2

GATE ECE 2016 Set 3
The z-parameter matrix $$\begin{bmatrix}z_{11}&z_{12}\\z_{21}&z_{22}\end{bmatrix}$$ for the two-port network shown is ...
GATE ECE 2015 Set 3
The ABCD parameters of the following 2-port network are ...
GATE ECE 2014 Set 4
For the two-port network shown in the figure, the impedance (Z) matrix (in Ω) is ...
GATE ECE 2014 Set 4
The equivalent resistance in the infinite ladder network shown in the figure, is$${R_e}$$ The value of $${R_e}/R$$ is _______________...
GATE ECE 2014 Set 2
In the h-parameter model of the 2-port network given in the figure shown, the value of h22 (in S) is _____ . ...
GATE ECE 2011
In the circuit shown below, the network N is described by the following Y matrix: $$$Y\;=\;\begin{bmatrix}0.1S&-0.01S\\0.01S&0.1S\end{bmatrix}...
GATE ECE 2008
A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters $${V_1}$$, $${V_2}$$ and ...
GATE ECE 2008
A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters $${V_1}$$, $${V_2}$$ and ...
GATE ECE 2008
The driving point impedance of the following network is given by $$Z(s) = {{0.2\,s} \over {{s^2}\, + \,0.1\,s\, + \,2}}$$. The component values are ...
GATE ECE 2006
In the two port network shown in the figure below, z12 and z21 are, respectively ...
GATE ECE 2006
A two-port network is represented by ABCD parameters given by $$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \,\left[ {\matrix{...
GATE ECE 2005
If R1 = R2 = R4 = R and R3 = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connected between a and b is ...
GATE ECE 2005
The h parameters of the circuit shown in Fig. are ...
GATE ECE 2004
For the lattice circuit shown in Fig., $${Z_a} = j\,2\,\Omega \,\,and\,\,{Z_b} = \,\,2\Omega $$. The values of the open circuit impedance parameters ...
GATE ECE 2004
For the circuit shown in Figure, the initial conditions are zeros. Its transfer function $$H(s) = {{{V_c}\,(s)} \over {{V_i}\,(s)}}$$ is ...
GATE ECE 2003
The impedance parameters Z11 and Z12 of the two-port network in figure are ...
GATE ECE 2003
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 ...
GATE ECE 2001
The Z parameters $${Z_{11}}$$ and $${Z_{21}}$$ for the 2-port network in Fig. are ...
GATE ECE 1999
A Delta-connected network with its Wye-equivalent is shown in Fig.P2.4. The resistance R1, R2 and R3 (in ohms) are respectively ...
GATE ECE 1997
In the circuil of Fig. the equivalent impedance seen across terminals A. B is ...
GATE ECE 1995
For the 2-port network shown in Fig. determine the h-parameters. Using these parameters, calculate the output (port '2' ) $${v_2}$$, when the output p...
GATE ECE 1992
For a 2-port network to be reciprocal
GATE ECE 1991
Two two-port networks are connected in cascade. The combination is to be represented as a single two-port network. The parameters of the network are o...
GATE ECE 1989
The condition AD - BC = 1 for a two-port network implies that the network is a
GATE ECE 1989
The condition AD - BC = 1 for a two-port network implies that the network is a
GATE ECE 1989
For the transfer function of a physical two-port network
GATE ECE 1988
Two two-port networks are connected in parallel. The combination is to be represented as a single two-port network. The parameters of this network are...

Marks 5

GATE ECE 2003
Find the Y-parameters (short ciruit admittance parameters) for the network shown in figure. ...
GATE ECE 2002
Consider the network in Fig. (a) Find its short-circuit admittance parameters. (b) Find the open-ciruit impedance $${Z_{22}}$$. ...
GATE ECE 2001
The admittance parameters of a 2-port network shown in Fig. are given by $${Y_{11}} = \,2\,\,mho$$, $${Y_{12}}$$ = - 0.5 mho, $${Y_{21}}$$ = 4.8 mho, ...
GATE ECE 1996
Find the input resistance $${R_{in}}$$ of the infinite section resistive network shown in Fig. ...
GATE ECE 1996
The open circuit impedance matrix $${Z_{OC}}$$ of a three-terminal two-port network with A as the input terminal, B as the output terminal, and C as t...
GATE ECE 1995
Find the current-transfer-ratio, $${{I_2}}$$/$${{I_1}}$$, for the network shown below (Fig). Also, mark all branch currents. ...
GATE ECE 1995
Show that the system shown in Fig. is a double integator. In other words, prove that the transfer gain is given by $${{{V_0}\,(s)} \over {{V_s}\,(s)}...
GATE ECE 1994
Assuming that the amplifier shown in the Fig., below, is a voltage-controlled voltage source, show that the voltage transfer function of the network i...

Marks 8

GATE ECE 1992
The two-port Darlington impedance booster of figure uses identical transistors $$({h_{ie}} = 1\,k,\,\,{h_{fe}} = \,100,\,\,{h_{re}} = \,\,{h_{oe}} = \...
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