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GATE ECE 2008 | Question-76


Statement for Linked Answer Questions 76 and 77:
A two-port network shown below is excited by external $dc$ sources. The voltages and the currents are measured with voltmeters $\mathrm{V}_{1}, \mathrm{~V}_{2}$ and ammeters $\mathrm{A}_{1}, \mathrm{~A}_{2}$ (all assumed to be ideal), as indicated. Under following switch conditions, the readings obtained are:

  1. $\mathrm{S}_{1}$ - Open, $\mathrm{S}_{2}$ - Closed $\mathrm{A}_{1}=0 \mathrm{~A}, \mathrm{~V}_{1}=4.5 \mathrm{~V}, \mathrm{~V}_{2}=1.5 \mathrm{~V}, \mathrm{~A}_{2}=1 \mathrm{~A}$
  2. $\mathrm{S}_{1}-$ Closed, $\mathrm{S}_{2}$ - Open $\mathrm{A}_{1}=4 \mathrm{~A}, \mathrm{~V}_{1}=6 \mathrm{~V}, \mathrm{~V}_{2}=6 \mathrm{~V}, \mathrm{~A}_{2}=0 \mathrm{~A}$


The z-parameter matrix for this network is

  1. $\left[\begin{array}{ll}1.5 & 1.5 \\ 4.5 & 1.5\end{array}\right]$
  2. $\left[\begin{array}{ll}1.5 & 4.5 \\ 1.5 & 4.5\end{array}\right]$
  3. $\left[\begin{array}{ll}1.5 & 4.5 \\ 1.5 & 1.5\end{array}\right]$
  4. $\left[\begin{array}{ll}4.5 & 1.5 \\ 1.5 & 4.5\end{array}\right]$
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