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Convert all your capacitances to their equivalent impedance, then use Y-Delta Conversion formulae. Impedances mix and match like resistances.

If the resistor version is: (Y to delta)

Ra = (R1*R2 + R2*R3 + R3*R1)/R2

Rb = (R1*R2 + R2*R3 + R3*R1)/R3

Rc = (R1*R2 + R2*R3 + R3*R1)/R1

Then the capacitor version looks like:

Ca = C1*C3/(C1 + C2 + C3)

Cb = C1*C2/(C1 + C2 + C3)

Cc = C2*C3/(C1 + C2 + C3)

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Q: How do you get the proof for Delta Star transformation in capacitors?
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