Interconversion Between Two Port Network Parameters MCQ Quiz - Objective Question with Answer for Interconversion Between Two Port Network Parameters - Download Free PDF
Last updated on Mar 16, 2025
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Interconversion Between Two Port Network Parameters Question 1:
Given Z- parameters of two port network N as \(\left[ {\begin{array}{*{20}{c}} 3&2\\ 2&2 \end{array}} \right]\) then the overall h-parameters of the network shown below is
Answer (Detailed Solution Below)
\(\left[ {\begin{array}{*{20}{c}} 2&2\\ -2&1 \end{array}} \right]\)
Interconversion Between Two Port Network Parameters Question 1 Detailed Solution
It is a series – parallel connection, hence h – parameters of the circuit are added.
We know, \(\rm {{h_{11}} = \frac{{{\rm{\Delta }}Z}}{{{Z_{12}}}},{h_{12}} = \frac{{{z_{12}}}}{{{z_{22}}}},{h_{21}} = \frac{{ - {z_{21}}}}{{{Z_{22}}}},{h_{22}} = \frac{1}{{{Z_{22}}}}}\)
Where \(\rm {\rm {Δ_ Z = Z_{11}Z_{22} – Z_{12}Z_{21} = (3 × 2) – (2 × 2) = 2}}\)
\(\rm {{h_{11}} = \frac{2}{2} = 1,{h_{12}} = \frac{2}{2} = 1,{h_{21}} = -\frac{2}{2} = -1,{h_{22}} = \frac{1}{2}}\)
∴ Overall h- parameters \(\rm {= \left[ {\begin{array}{*{20}{c}} 1&1\\ -1&{\frac{1}{2}} \end{array}} \right] + \left[ {\begin{array}{*{20}{c}} 1&1\\ -1&{\frac{1}{2}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 2&2\\ -2&1 \end{array}} \right]}\)