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The bus admittance matrix of a three-bus three-line system is $Y=j \begin{bmatrix} -13 & 10 & 5 \\ 10 & -18 & 10 \\ 5 & 10 & -13 \end{bmatrix}$ If each transmission line between the two buses is represented by an equivalent $\pi$-network, the magnitude of the shunt susceptance of the line connecting bus $1$ and $2$ is

  1. $4$
  2. $2$
  3. $1$
  4. $0$
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