The y-parameters for the network shown in the figure can be represented by

Concept:

Y parameter:

I₁ = V₁ Y₁₁ + V₂ Y₁₂

I₂ = V₁ Y₂₁ + V₂ Y₂₂

\({I_1} = \frac{{{V_1} - {V_2}}}{Z}\)

\({I_1} = \frac{{{V_1}}}{Z} - \frac{1}{Z}\;{V_2}\)     ...1)

\({I_2} = - \frac{1}{Z}\;{V_1} + \frac{1}{Z}\;{V_2}\)     ...2)

\(\left[ y \right] = \left[ {\begin{array}{*{20}{c}} {\frac{1}{Z}}&{ - \frac{1}{Z}} \\ { - \frac{1}{Z}}&{\frac{1}{Z}} \end{array}} \right]\)

Calculation:

For the given question Z = 5 Ω

\(\therefore \left[ y \right] = \left[ {\begin{array}{*{20}{c}} {\frac{1}{5}}&{ - \frac{1}{5}} \\ { - \frac{1}{5}}&{\frac{1}{5}} \end{array}} \right]\)