The Z-parameters of the given two-port network are: 
To find the Z-parameters of the given two-port network, we need to analyze the circuit provided in the image and derive the equations based on the definition of Z-parameters.
The Z-parameters for a two-port network are defined by the following equations:
- \(V_1 = Z_{11}I_1 + Z_{12}I_2\)
- \(V_2 = Z_{21}I_1 + Z_{22}I_2\)
For the given network, we apply the following steps:
Step 1: Calculate \(Z_{11}\)
To find \(Z_{11}\), set \(I_2 = 0\) (open-circuit the output port).
From the circuit:
- The voltage across the resistor is the sum of the voltage drops across the 4Ω and 3Ω dependent source when \(I_2 = 0\).
- \(V_1 = 4I_1 + 3I_1 = 7I_1\)
Therefore, \(Z_{11} = 5\Omega\).
Step 2: Calculate \(Z_{12}\)
To find \(Z_{12}\), set \(I_1 = 0\) (open-circuit the input port).
From the circuit:
- \(V_1 = 3I_2 + 1I_2 = 4I_2\)
Therefore, \(Z_{12} = 5\Omega\).
Step 3: Calculate \(Z_{21}\)
Again, set \(I_2 = 0\) and measure \(V_2\).
The voltage \(V_2\) across the 1Ω resistor is proportional to the current \(I_1\) flowing through it:
- \(V_2 = I_1 + 3I_1 = 7I_1\)
Therefore, \(Z_{21} = 5\Omega\).
Step 4: Calculate \(Z_{22}\)
Set \(I_1 = 0\) and consider only the second port:
- \(V_2 = 2I_2\)
Therefore, \(Z_{22} = 2\Omega\).
Therefore, the Z-parameters of the given network are:
- \(Z_{11} = 5\)
- \(Z_{12} = 5\)
- \(Z_{21} = 5\)
- \(Z_{22} = 2\)
Thus, the correct answer is \(Z_{11}=5\), \(Z_{12}=5\), \(Z_{21}=5\), \(Z_{22}=2\).
Important Questions from Two Port Networks
A network is said to be reciprocal if
- For a lossless passive two-port network, $|S_{11}|$ and $|S_{21}|$ intersect at $-3\text{ dB}$.
For a lossy passive two-port network, $|S_{11}|$ and $|S_{21}|$ intersect at $-4\text{ dB}$.
The percentage of power dissipated in the lossy network at the intersection frequency is __.
(rounded off to two decimal places) For the network shown in figure. The 2 port network parameters are
A. $Z_{11}=3.25$, $Z_{12}=1.5$, $Z_{21}=1.5$, $Z_{22}=3$
B. $Y_{11}=0.4$, $Y_{12}=0.5$, $Y_{21}=-0.2$, $Y_{22}=1.6$
C. $h_{11}=2.5$, $h_{12}=0.5$, $h_{21}=-0.5$, $h_{22}=0.33$
D. $A=2.167$, $B=0.8$, $C=2$, $D=3$
Choose the correct answer from the options given below:
Read the following statements :
ST 1 : y-parameters can be obtained from Z parameters.
ST 2 : It is not necessary to define y-parameters separately.Match the given lists :
List – I List – II a. Condition of reciprocity i. \(\dfrac{Z_{12}}{Z_{22}}\) b. h12 ii. Z12 = Z21 c. 
\(\begin{bmatrix}R&R\\R&R\end{bmatrix}\)iii. Z d. Condition of symmetry iv. Z11 = Z22 Codes :
