GATE EC||NETWORK THEORY||TWO PORT ANALYSIS||PYQS(2000-2025)

A two-port network is represented by ABCD parameters given by

[Tex] \begin{bmatrix} V_1 \\ I_1 \end{bmatrix} = \begin{bmatrix} A & B \\ C & D \end{bmatrix} \begin{bmatrix} V_2 \\ - I_2 \end{bmatrix}[/Tex]

If port-2 terminated by R_L, the input impedance seen at port-1 is given by

(GATE 2006 || EC || MCQ ||2 MARK)

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 V2V2​ versus −I2−I2​ plot. Note that for V2=5V,I2=0mAV2​=5V,I2​=0mA, and for V2=4V,I2=−4mAV2​=4V,I2​=−4mA.
When the variable resistance R at Port 2 is replaced by the load shown in Fig. (c), the current I2I2​ is _______ mA (rounded off to one decimal place).

(GATE 2022 || EC || MCQ ||1 MARK)

(GATE 2023 || EC || NAT ||1 MARK)

(GATE 2023 || EC || MCQ ||1 MARK)

(GATE 2023 || EC || MCQ ||1 MARK)

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

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

For the two port network shown below, the value of the Y₂₁  parameter (in Siemens) is ______.

(GATE 2024 || EC || MCQ ||2 MARK)

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

[V1 V2]=Z[I1I2][V1​ V2​​]=Z[I1​I2​​]

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

The admittance parameters of a 2-port network shown in figure are given by Y₁₁ = 2 mho, Y₁₂ = – 0.5 mho, Y₂₁ = 4.8 mho, Y₂₂ = 1 mho. The output port is terminated with a load admittance Y_L = 0.2 mho. Find E₂ for each of the following conditions:

E₁ = 10 ∠0° V

(GATE 2001 || EC || MCQ ||2 MARK)