For a power system network with n nodes, Z33 of its bus

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For a power system network with n nodes, Z₃₃ of its bus impedance matrix is j0.5 per unit. The voltage at node 3 is 1.3 ∠– 10° per unit. If a capacitor having reactance of – j3.5 per unit is now added to the network between node 3 and the reference node, the current drawn by the capacitor per unit is

1. 0.325 ∠– 100°
2. 0.325 ∠80°
3. 0.371 ∠– 100°
4. 0.433 ∠80°

Correct Option: D

Thevenin’s equivalent impedance between bus (3) and ref. bus is Z₃₃
Z₃₃ = 10.5 pu
Thevenin’s equivalent voltage between bus (3) and ref. bus = 1.3 ∠ – 10°