A. $Z_{12} = Z_{21}$
B. $Y_{12} = Y_{21}$
C. $h_{12} = h_{21}$
D. $AD - BC = 1$
Choose the correct answer from the options given below :
To solve the given question about two-port reciprocal networks, we need to understand the properties and definitions associated with reciprocal networks in different parameter representations such as impedance (Z-parameters), admittance (Y-parameters), hybrid (h-parameters), and ABCD parameters. Let's analyze each statement one by one:
Statement A: \(Z_{12} = Z_{21}\)
This statement refers to the condition of reciprocity for Z-parameters (impedance parameters). For a reciprocal network, the Z-parameters should be equal, i.e., \(Z_{12} = Z_{21}\). This statement is correct for reciprocal networks.
Statement B: \(Y_{12} = Y_{21}\)
This statement refers to the condition of reciprocity for Y-parameters (admittance parameters). For a reciprocal network, the Y-parameters should also be equal, i.e., \(Y_{12} = Y_{21}\). This statement is correct for reciprocal networks.
Statement C: \(h_{12} = h_{21}\)
For h-parameters (hybrid parameters), the condition for reciprocity is that \(h_{12} = -h_{21}\), not \(h_{12} = h_{21}\). Therefore, this statement is incorrect for a reciprocal network.
Statement D: \(AD - BC = 1\)
This statement refers to the condition of reciprocity for ABCD parameters (also known as transmission parameters or chain parameters). For a reciprocal network, the determinant condition \(AD - BC = 1\) must be satisfied. This statement is correct for reciprocal networks.
Based on the analysis, the correct statements for a reciprocal network are A, B, and D. Therefore, the correct answer is:
A, B, D only
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