Question

The 2-port admittance matrix of the circuit shown is given by

• A. \(\begin{bmatrix} 15 & 5 \\ 5 & 15 \end{bmatrix}\)
• B. \(\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\)
• C. \(\begin{bmatrix} 0.3 & 0.2 \\ 0.2 & 0.3 \end{bmatrix}\)
• D. \(\begin{bmatrix} 3.33 & 5 \\ 5 & 3.33 \end{bmatrix}\)

Hint:

In 2-port networks, the admittance matrix can be calculated using the known impedances and the configuration of the network.

Answer 1

The Correct Option is C

The given circuit corresponds to a standard form of a 2-port network, and using the impedance values from the given circuit, the admittance matrix is calculated as: \[ \begin{bmatrix} 0.3 & 0.2 \\ 0.2 & 0.3 \end{bmatrix} \] Thus, the correct answer is option (3).