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Recent questions and answers in Network Solution Methods

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GATE ECE 2010 | Question: 4
For the two-port network shown below, the short-circuit admittance parameter matrix is$\left[\begin{array}{cc}4 & -2 \\ -2 & 4\end{array}\right] \mathrm{S}$$\left[\begin{...
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GATE ECE 2025 | Question: 30
The $Z$-parameter matrix of a two port network relates the port voltages and port currents as follows:$$ \left[\begin{array}{l} V_{1} \\ V_{2} \end{array}\right]=Z\left[\...
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GATE ECE 2024 | Question: 50
For the two port network shown below, the value of the $Y_{21}$ parameter (in Siemens) is $\_\_\_\_\_\_$.
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GATE ECE 2024 | Question: 52
In the network shown below, maximum power is to be transferred to the load $R_{L}$.The value of $R_{L}$ (in $\Omega$ ) is $\_\_\_\_\_\_\_$.
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GATE ECE 2014 Set 3 | Question: 30
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connected i...
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GATE ECE 2019 | Question: 5
Let $Y(s)$ be the unit-step response of a causal system having a transfer function$$G(s)= \dfrac{3-s}{(s+1)(s+3)}$$that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of...
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GATE ECE 2023 | Question: 23
For the two port network shown below, the $[\mathrm{Y}] – $parameters is given as$$[Y]=\frac{1}{100}\left[\begin{array}{cc}2 & -1 \\ -1 & 4 / 3\end{array}\right] S$$The v...
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GATE ECE 2000 | Question 6
The network $\mathrm{N}$ in given figure consists only of two elements: a resistor of $1 \; \Omega$ and an inductor of $\text{L}$ Henry. A $5 \mathrm{~V}$ source is conne...
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GATE ECE 1999 | Question 1.4
A $2$-port network is shown in the given figure. The parameter $h_{21}$ for this network can be given by$-1 / 2$$+1 / 2$$-3 / 2$$+3 / 2$
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GATE ECE 1999 | Question 2.3
The value of $R$ (in ohms) required for maximum power transfer in the network shown in the given figure$2$$4$$8$$16$
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GATE ECE 1999 | Question 2.4
A Delta-connected network with its Wye-equivalent is shown in the given figure is. The resistances $R_{1}, R_{2}$ and $R_{3}$ (in ohms) are respectively$1.5,3$ and $9$$3,...
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GATE ECE 1999 | Question 4
For the network shown in the given figure is evaluate the current $I$ flowing through the $2 \; \Omega$ resistor using superposition theorem.
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GATE ECE 2001 | Question: 1.4
The admittance parameter $\mathrm{Y}_{12}$ in the $2$-port network in the figure,$-0.2 \; \mathrm{mho}$$0.1 \; \mathrm{mho}$$-0.05 \; \mathrm{mho}$$0.05 \; \mathrm{mho}$
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GATE ECE 2001 | Question: 2.4
The $Z$ parameters $Z_{11}$ and $Z_{21}$ for the $2$-port network in the figure,$Z_{11}=-\frac{6}{11} \; \Omega ; Z_{21}=\propto \frac{16}{11} \; \Omega$;$Z_{11}=\frac{6}...
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GATE ECE 2001 | Question: 5
The admittance parameters of a $2$-port network shown in the figure, given by $Y_{11}=2 \; \mathrm{mho}$, $Y_{12}=-0.5 \mathrm{mho}, \mathrm{Y}_{21}=4.8 \; \mathrm{mho}, ...
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GATE ECE 2002 | Question: 2.1
In the network of the figure is the maximum power is delivered to $R_{\mathrm{L}}$ if its value is$16 \; \Omega$$\frac{40}{3} \; \Omega$$60 \; \Omega$$20 \; \Omega$
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GATE ECE 2002 | Question: 4
For the network shown in the figure is, $R=1 \mathrm{~K} \Omega$, $L_{1}=2 \; \mathrm{H}, \mathrm{L}_{2}=5 \; \mathrm{H}, \mathrm{L}_{3}=1 \; \mathrm{H}, \mathrm{L}_{4}=4...
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GATE ECE 2002 | Question: 5
Consider the network in the figure is. Find its short-circuit admittance parameters.Find the open-circuit impedance $Z_{22}$.
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GATE ECE 1998 | Question 1.1
A network has $7$ nodes and $5$ independent loops. The number of branches in the network is$13$$12$$11$$10$
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GATE ECE 1998 | Question 1.6
Superposition theorem is $\text{NOT}$ applicable to networks containingnonlinear elementsdependent voltage sourcesdependent current sourcestransformers
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GATE ECE 1998 | Question 1.10
The short-circuit admittance matrix o a two-port network is$$ \left[\begin{array}{cc} 0 & -1 / 2 \\ 1 / 2 & 0 \end{array}\right] $$The two-port network isnon-reciprocal a...
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GATE ECE 2003 | Question: 31
Twelve $1 \; \Omega$ resistance are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is$\frac{5}{6} \; \Omega$$1 \; \Omega...
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GATE ECE 2003 | Question: 36
The driving-point impedance $Z(s)$ of a network has the pole-zero locations as shown in the figure. If $Z(0)=3$, then $Z(s)$ is$\frac{3(s+3)}{s^{2}+2 s+3}$$\frac{2(s+3)}{...
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GATE ECE 2003 | Question: 37
The impedance parameters $Z_{11}$ and $Z_{12}$ of the two-port network in the figure are$Z_{11}=2.75 \; \Omega$ and $Z_{12}=0.25 \; \Omega$$Z_{11}=3 \; \Omega$ and $Z_{12...
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GATE ECE 2004 | Question: 1
Consider the network graph shown in the figure. Which one of the following is NOT a 'tree' of this graph?
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GATE ECE 2004 | Question: 31
For the lattice circuit shown in the figure, $Z_{a}=j 2 \Omega$ and $Z_{b}=2 \Omega$. The values of the open circuit impedance parameters $Z=\left[\begin{array}{ll}z_{11}...
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GATE ECE 2004 | Question: 88
Consider an impedance $\mathrm{Z = R + j X }$ marked with point $\mathrm{P}$ in an impedance Smith chart as shown in the figure. The movement from point $\mathrm{P}$ alon...
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GATE ECE 2005 | Question: 8
The $\text{ABCD}$ parameters of an ideal $n: 1$ transformer shown in the figure are $\left[\begin{array}{ll}n & 0 \\ 0 & \mathrm{X}\end{array}\right]$. The value of $X$ w...
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GATE ECE 2005 | Question: 16
The first and the last critical frequency of an $\text{RC}$-driving point impedance function must respectively bea zero and a polea zero and a zeroa pole and a polea pole...
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GATE ECE 1996 | Question 1.3
The number of independent loops for a network with $n$ nodes and $b$ branches is$n-1$$b-n$$b-n+1$independent of the number of nodes
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GATE ECE 2006 | Question: 30
A two-port network is represented by $\text{ABCD}$ parameters given by$$ \left[\begin{array}{c} \mathrm{V}_1 \\ \mathrm{I}_1 \end{array}\right]=\left[\begin{array}{ll} \m...
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GATE ECE 2006 | Question: 31
In the two port network shown in the figure below, $z_{12}$ and $z_{21}$ are, respectively$r_e$ and $\beta r_o$$0$ and $-\beta r_o$$0,$ and $\beta r_o$$r_e$ and $-\beta r...
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GATE ECE 2006 | Question: 32
The first and the last critical frequencies (singularities) of a driving point impedance function of a passive network having two kinds of elements, are a pole and a zero...
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GATE ECE 2018 | Question: 42
The figure below shows the Bode magnitude and phase plots of a stable transfer function $G\left ( s \right )=\dfrac{n_{0}}{s^{3}+d_{2}s^{2}+d_{1}s+d_{0}}.$Consider the ne...
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