1
GATE ECE 2025
MCQ (Single Correct Answer)
+2
-0.67

The $Z$-parameter matrix of a two port network relates the port voltages and port currents as follows:

$$ \left[\begin{array}{l} V_1 \\ V_2 \end{array}\right]=Z\left[\begin{array}{l} I_1 \\ I_2 \end{array}\right] $$

The Z-parameter matrix (with each entry in Ohms) of the network shown below is

___________.

GATE ECE 2025 Network Theory - Two Port Networks Question 1 English
A
$\left[\begin{array}{cc}\frac{10}{3} & \frac{2}{3} \\ \frac{2}{3} & \frac{10}{3}\end{array}\right]$
B
$\left[\begin{array}{cc}\frac{2}{3} & \frac{10}{3} \\ \frac{10}{3} & \frac{2}{3}\end{array}\right]$
C
$\left[\begin{array}{cc}10 & 2 \\ 2 & 10\end{array}\right]$
D
$\left[\begin{array}{cc}\frac{10}{3} & \frac{1}{3} \\ \frac{1}{3} & \frac{10}{3}\end{array}\right]$
2
GATE ECE 2024
Numerical
+2
-0

For the two port network shown below, the value of the $Y_{21}$ parameter (in Siemens) is ______.

GATE ECE 2024 Network Theory - Two Port Networks Question 2 English
Your input ____
3
GATE ECE 2023
MCQ (Single Correct Answer)
+2
-0.67

The h-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain $${{{V_{out}}} \over {{V_s}}}$$ is

GATE ECE 2023 Network Theory - Two Port Networks Question 5 English

A
h$$_{11}=0$$, h$$_{12}=0$$, h$$_{21}=$$ very high and h$$_{22}=0$$
B
h$$_{11}=$$ very high, h$$_{12}=0$$, h$$_{21}=$$ very high and h$$_{22}=0$$
C
h$$_{11}=0$$, h$$_{12}=$$ very high, h$$_{21}=$$ very high and h$$_{22}=0$$
D
h$$_{11}=0$$, h$$_{12}=0$$, h$$_{21}=$$ very high and h$$_{22}=$$ very high
4
GATE ECE 2023
MCQ (Single Correct Answer)
+2
-0.67

The S-parameters of a two port network is given as

$$[S] = \left[ {\matrix{ {{S_{11}}} & {{S_{12}}} \cr {{S_{21}}} & {{S_{22}}} \cr } } \right]$$

with reference to $${Z_0}$$. Two lossless transmission line sections of electrical lengths $${\theta _1} = \beta {l_1}$$ and $${\theta _2} = \beta {l_2}$$ are added to the input and output ports for measurement purposes, respectively. The S-parameters $$[S']$$ of the resultant two port network is

GATE ECE 2023 Network Theory - Two Port Networks Question 4 English

A
$$\left[ {\matrix{ {{S_{11}}{e^{ - j2{\theta _1}}}} & {{S_{12}}{e^{ - j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{ - j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{ - j2{\theta _2}}}} \cr } } \right]$$
B
$$\left[ {\matrix{ {{S_{11}}{e^{j2{\theta _1}}}} & {{S_{12}}{e^{ - j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{ - j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{j2{\theta _2}}}} \cr } } \right]$$
C
$$\left[ {\matrix{ {{S_{11}}{e^{j2{\theta _1}}}} & {{S_{12}}{e^{j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{j2{\theta _2}}}} \cr } } \right]$$
D
$$\left[ {\matrix{ {{S_{11}}{e^{ - j2{\theta _1}}}} & {{S_{12}}{e^{j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{ - j2{\theta _2}}}} \cr } } \right]$$
GATE ECE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12