Convert the balanced delta inductors to a star equivalent. Each star inductance is L/3, so per-phase inductive admittance is 1/[jω(L/3)].
For the parallel star capacitor to cancel it, ωC=3/(ωL), hence C=3/(ω²L). At 50 Hz and L=0.01 H this is 0.00303964 F.
Thus **C=3.03964 mF**, within 2.9–3.1 mF.
More Transient response of DC and AC networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation, complex power and power factor in AC circuits questions
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