1
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 3 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
$$\left[ {\matrix{ {{S_{11}}{e^{ - j2{\theta _1}}}} & {{S_{12}}{e^{j({\theta _1} + {\theta _2})}}} \cr {{S_{21}}{e^{j({\theta _1} + {\theta _2})}}} & {{S_{22}}{e^{ - j2{\theta _2}}}} \cr } } \right]$$
2
GATE ECE 2022
Numerical
+2
-0.67

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 across Port 2. As R is varied, the measured voltage and current at Port 2 is shown in Fig. (b) as a V2 versus $$-$$I2 plot. Note that for V2 = 5 V, I2 = 0 mA, and for V2 = 4 V, I2 = $$-$$4 mA. When the variable resistance R at Port 2 is replaced by the load shown in Fig. (c), the current I2 is ________ mA (rounded off to one decimal place).

GATE ECE 2022 Network Theory - Two Port Networks Question 5 English 1

GATE ECE 2022 Network Theory - Two Port Networks Question 5 English 2

GATE ECE 2022 Network Theory - Two Port Networks Question 5 English 3

Your input ____
3
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+2
-0.6
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 2016 Set 3 Network Theory - Two Port Networks Question 39 English
A
$$\begin{bmatrix}2&-2\\-2&2\end{bmatrix}$$
B
$$\begin{bmatrix}2&2\\2&2\end{bmatrix}$$
C
$$\begin{bmatrix}9&-3\\6&9\end{bmatrix}$$
D
$$\begin{bmatrix}9&3\\6&9\end{bmatrix}$$
4
GATE ECE 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
The ABCD parameters of the following 2-port network are GATE ECE 2015 Set 3 Network Theory - Two Port Networks Question 17 English
A
$$\left[ {\matrix{ {3.5\, + \,j2} & {20.5} \cr {20.5} & {3.5\, - \,j2} \cr } } \right]$$
B
$$\left[ {\matrix{ {3.5\, + \,j2} & {30.5} \cr {0.5} & {3.5\, - \,j2} \cr } } \right]$$
C
$$\,\left[ {\matrix{ {10} & {2 + \,j0} \cr {2 + \,j0} & {10} \cr } } \right]$$
D
$$\left[ {\matrix{ {7\, + \,j4} & {0.5} \cr {30.5} & {7\, - \,j4} \cr } } \right]$$
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