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Question

A two-port network has short-circuit admittance matrix \(Y=\begin{bmatrix}0&-1/2\\1/2&0\end{bmatrix}\,S\). The two-port network is:

The correct answer is

non-reciprocal and passive

The transfer admittances are unequal, Y₁₂ = −1/2 and Y₂₁ = 1/2, so the network is non-reciprocal. Its port equations give instantaneous total input power \(p=v_1(-v_2/2)+v_2(v_1/2)=0\). It is an ideal lossless passive gyrator, not a source of net energy.

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Important Questions from Two Port Networks

  1. A network is said to be reciprocal if

  2. 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)
  3. 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:

  4. The Z-parameters of the given two-port network are: 

  5. 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.

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