GATE ECE
Network Theory
Two Port Networks
Previous Years Questions

## Marks 1

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...
The ABCD matrix for a two-port network is defined by : $$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \left[ {\matrix{ A &... The z-parameter matrix for the two-port network shown is$$$\left[ {\matrix{ {2\,j\,\omega } & {j\,\omega } \cr {j\,\omega } & {3\, + ... Consider a two-port network with the transmission matrix: T = $$\begin{bmatrix}A&B\\C&D\end{bmatrix}$$. If the network is reciprocal, then The 2-port admittance matrix of the circuit shown is given by ... For the two-port network shown below, the short-circuit admittance parameter matrix is ... 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 ... The ABCD parameters of an ideal n:1 transformer shown in Fig. are $$\left[ {\matrix{ n & 0 \cr 0 & X \cr } } \right]$$. The value ... The admittance parameter Y12 in the 2-port network in Figure is ... If each branch of a Delta circuit has impedance $$\sqrt 3 \,Z$$, then each branch of the equivalent Wye circuit has impedance A 2-port network is shown in figure. The parameter $${h_{21}}$$ for this network can be given by ... The short-circuit admittance matrix of a two-port network is $$\begin{bmatrix}0&-\frac12\\\frac12&0\end{bmatrix}$$$ The two port network is
The condition, that a 2-port network is reciprocal, can be expressed in terms of its ABCD parameters as ...............

## Marks 2

The z-parameter matrix $$\begin{bmatrix}z_{11}&z_{12}\\z_{21}&z_{22}\end{bmatrix}$$ for the two-port network shown is ...
The ABCD parameters of the following 2-port network are ...
For the two-port network shown in the figure, the impedance (Z) matrix (in Ω) is ...
The equivalent resistance in the infinite ladder network shown in the figure, is$${R_e}$$ The value of $${R_e}/R$$ is _______________...
In the h-parameter model of the 2-port network given in the figure shown, the value of h22 (in S) is _____ . ...
In the circuit shown below, the network N is described by the following Y matrix: $$Y\;=\;\begin{bmatrix}0.1S&-0.01S\\0.01S&0.1S\end{bmatrix}... A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters$${V_1}$$,$${V_2}$$and ... A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters$${V_1}$$,$${V_2}$$and ... The driving point impedance of the following network is given by$$Z(s) = {{0.2\,s} \over {{s^2}\, + \,0.1\,s\, + \,2}}$$. The component values are ... In the two port network shown in the figure below, z12 and z21 are, respectively ... A two-port network is represented by ABCD parameters given by$$\left[ {\matrix{ {{V_1}} \cr {{I_1}} \cr } } \right] = \,\left[ {\matrix{...
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 ...
The h parameters of the circuit shown in Fig. are ...
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 ...
For the circuit shown in Figure, the initial conditions are zeros. Its transfer function $$H(s) = {{{V_c}\,(s)} \over {{V_i}\,(s)}}$$ is ...
The impedance parameters Z11 and Z12 of the two-port network in figure are ...
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 ...
The Z parameters $${Z_{11}}$$ and $${Z_{21}}$$ for the 2-port network in Fig. are ...
A Delta-connected network with its Wye-equivalent is shown in Fig.P2.4. The resistance R1, R2 and R3 (in ohms) are respectively ...
In the circuil of Fig. the equivalent impedance seen across terminals A. B is ...
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...
For a 2-port network to be reciprocal
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...
The condition AD - BC = 1 for a two-port network implies that the network is a
The condition AD - BC = 1 for a two-port network implies that the network is a
For the transfer function of a physical two-port network
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

Find the Y-parameters (short ciruit admittance parameters) for the network shown in figure. ...
Consider the network in Fig. (a) Find its short-circuit admittance parameters. (b) Find the open-ciruit impedance $${Z_{22}}$$. ...
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, ...
Find the input resistance $${R_{in}}$$ of the infinite section resistive network shown in Fig. ...
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...
Find the current-transfer-ratio, $${{I_2}}$$/$${{I_1}}$$, for the network shown below (Fig). Also, mark all branch currents. ...
Show that the system shown in Fig. is a double integator. In other words, prove that the transfer gain is given by $${{{V_0}\,(s)} \over {{V_s}\,(s)}... Assuming that the amplifier shown in the Fig., below, is a voltage-controlled voltage source, show that the voltage transfer function of the network i... ## Marks 8 The two-port Darlington impedance booster of figure uses identical transistors$$({h_{ie}} = 1\,k,\,\,{h_{fe}} = \,100,\,\,{h_{re}} = \,\,{h_{oe}} = \...
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