GATE Questions & Answers of Linear 2-Port Network Parameters

•  (A) $T^{-1}=1$
•  (B) $T^2=T$
•  (C) Determinant $\left(T\right)=0$
•  (D) Determinant $\left(T\right)=1$

The z-parameter matrix for the two-port network shown is

$\left[\begin{array}{cc}\mathrm{ 2}j\omega & j\omega \\ j\omega & 3+2j\omega \end{array}\right],$

where the entries are in Ω. Suppose $Z_b\left(j\omega \right) = R_b+j\omega$

Then the value of R_b (in Ω) equals ________

The z-parameter matrix $\begin{bmatrix}z_{11}&z_{12}\\z_{21}&z_{22}\end{bmatrix}$ for the two-port network shown is

•  (A) $\left[\begin{array}{cc}2& -2\\ -2& 2\end{array}\right]$
•  (B) $\left[\begin{array}{cc}2& 2\\ 2& 2\end{array}\right]$
•  (C) $\left[\begin{array}{cc}9& -3\\ 6& 9\end{array}\right]$
•  (D) $\left[\begin{array}{cc}9& 3\\ 6& 9\end{array}\right]$

The 2-port admittance matrix of the circuit shown is given by

•  (A)  $\left[\begin{array}{cc}0.3& 0.2\\ 0.2& 0.3\end{array}\right]$
•  (B)  $\left[\begin{array}{cc}15& 5\\ 5& 15\end{array}\right]$
•  (C)  $\left[\begin{array}{cc}3.33& 5\\ 5& 3.33\end{array}\right]$
•  (D)  $\left[\begin{array}{cc}0.3& 0.4\\ 0.4& 0.3\end{array}\right]$

The ABCD parameters of the following 2-port network are

•  (A) $\left[\begin{array}{cc}3.5+j2& 20.5\\ 20.5& 3.5-j2\end{array}\right]$
•  (B) $\left[\begin{array}{cc}3.5+j2& 30.5\\ 0.5& 3.5-j2\end{array}\right]$
•  (C) $\left[\begin{array}{cc}10& 2+j0\\ 2+j0& 10\end{array}\right]$
•  (D) $\left[\begin{array}{cc}7+j4& 0.5\\ 30.5& 7-j4\end{array}\right]$

In the h-parameter model of the 2-port network given in the figure shown, the value of h₂₂ (in S) is ______ .

For the two-port network shown in the figure, the impedance (Z) matrix (in Ω) is

•  (A) $\left[\begin{array}{cc}6& 24\\ 42& 9\end{array}\right]$
•  (B) $\left[\begin{array}{cc}9& 8\\ 8& 24\end{array}\right]$
•  (C) $\left[\begin{array}{cc}9& 6\\ 6& 24\end{array}\right]$
•  (D) $\left[\begin{array}{cc}42& 6\\ 6& 60\end{array}\right]$

With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i) 1Ω$$ connected at port B draws a current of 3 A
(ii) 2.5Ω$$ connected at port B draws a current of 2 A

With 10 V dc connected at port A, the current drawn by 7Ω connected at port B is

•  (A) 3/7 A
•  (B) 5/7 A
•  (C) 1 A
•  (D) 9/7 A

With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i) 1Ω$$ connected at port B draws a current of 3 A
(ii) 2.5Ω$$ connected at port B draws a current of 2 A

For the same network, with 6 V dc connected at port A, 1Ω connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is

•  (A) 6 V
•  (B) 7 V
•  (C) 8 V
•  (D) 9 V

In the circuit shown below, the network N is described by the following Y matrix:

$Y=\left[\begin{array}{cc}0.1\mathrm{S}& -0.01\mathrm{S}\\ 0.01\mathrm{S}& 0.1\mathrm{S}\end{array}\right]$. The voltage gain $\frac{V_2}{V_1}$ is

•  (A) 1/90
•  (B) -1/90
•  (C) -1/99
•  (D) -1/11

For the two-port network shown below, the short-circuit admittance parameter matrix is

•  (A) $\left[\begin{array}{cc}4& -2\\ -2& 4\end{array}\right]S$
•  (B) $\left[\begin{array}{cc}1& -0.5\\ -0.5& 1\end{array}\right]S$
•  (C) $\left[\begin{array}{cc}1& 0.5\\ 0.5& 1\end{array}\right]S$
•  (D) $\left[\begin{array}{cc}4& 2\\ 2& 4\end{array}\right]S$

If the scattering matrix [S] of a two port network is

$\left[\mathrm{s}\right]=\left[\begin{array}{cc}0.2\angle 0^o& 0.9\angle {90}^o\\ 0.9\angle {90}^o& 0.1\angle {90}^o\end{array}\right]$

then the network is  

•  (A) lossless and reciprocal
•  (B) lossless but not reciprocal
•  (C) not lossless but reciprocal
•  (D) neither lossless nor reciprocal

A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters V₁, V₂ and ammeter A₁, A₂ (all assumed to be ideal), as indicated. Under following switch conditions, the readings obtained are:
i) S₁ - Open, S₂ - Closed A₁ = 0A, V₁ = 4.5V, V₂ = 1.5V, A₂ = 1A
ii) S₁ - Closed, S₂ - Open A₁ = 4A, V₁ = 6V, V₂ = 6V, A₂ = 0A

The z-parameter matrix for this network is

•  (A) $\left[\begin{array}{cc}1.5& 1.5\\ 4.5& 1.5\end{array}\right]$
•  (B) $\left[\begin{array}{cc}1.5& 4.5\\ 1.5& 4.5\end{array}\right]$
•  (C) $\left[\begin{array}{cc}1.5& 4.5\\ 1.5& 1.5\end{array}\right]$
•  (D) $\left[\begin{array}{cc}4.5& 1.5\\ 1.5& 4.5\end{array}\right]$

A two-port network shown below is excited by external dc sources. The voltages and the currents are measured with voltmeters V₁, V₂ and ammeter A₁, A₂ (all assumed to be ideal), as indicated. Under following switch conditions, the readings obtained are:
i) S₁ - Open, S₂ - Closed A₁ = 0A, V₁ = 4.5V, V₂ = 1.5V, A₂ = 1A
ii) S₁ - Closed, S₂ - Open A₁ = 4A, V₁ = 6V, V₂ = 6V, A₂ = 0A

The h-parameter matrix for this network is

•  (A) $\left[\begin{array}{cc}-3& 3\\ -1& 0.67\end{array}\right]$
•  (B) $\left[\begin{array}{cc}-3& -1\\ 3& 0.67\end{array}\right]$
•  (C) $\left[\begin{array}{cc}3& 3\\ 1& 0.67\end{array}\right]$
•  (D) $\left[\begin{array}{cc}3& 1\\ -3& -0.67\end{array}\right]$