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In the figure shown, self-impedances of the two transmission lines are $1.5j\:p.u$ each, and $Z_{m}=0.5j \:p.u$ is the mutual impedance. Bus voltages shown in the figure are in $p.u$. Given that $\delta>0$, the maximum steady-state real power that can be transferred in $p.u$ from Bus-$1$ to Bus-$2$ is

  1. $\left | E \right |\left | V \right |$
  2. $\frac{\left | E \right |\left | V \right |}{2}$
  3. $2\left | E \right |\left | V \right |$
  4. $\frac{3\left | E \right |\left | V \right |}{2}$
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