3-phase inductance calculation homework

Three similar impedances are connected in star across 2000 V, 50 Hz three phase supply. Power absorbed is 300 kW. Current taken is 100 A lagging. Find the values of circuit parameters in each phase.

I have found out the power factor to be 0.866.

I found out the impedance Z to be |Vph| / |Iph| = 11.243 ohms.

But now how do we find the inductance of the circuit?

• Same question can be seen here. May 16 '20 at 10:45
• Show us what you have done so far. What is the apparent power of the load (kva)? May 16 '20 at 10:46
• But the other question's answers dont talk about inductance. May 16 '20 at 10:48
• Apparent power i found it out to be 346410.1615 va. May 16 '20 at 10:50
• But now how do we find the inductance of the circuit? - you can't because you don't know if the inductance is parallel to the resistor or in series with the resistor. The load is not defined as a series-elements or parallel-elements. May 16 '20 at 11:24

You should determine the impedance of your load using complex numbers. Once you know the impedance, you can find out the reactive component $$\X\$$ directly:
$$Z = R + jX$$
$$X_C = (-j)\frac{1}{\omega C}$$ $$X_L = (j)\omega L$$