Two balanced Y-connected loads in parallel, one drawing \(15 \mathrm{~kW}\) at 0.6 power factor lagging and the other drawing \(10 \mathrm{kVA}\) at 0.8 power factor leading, are supplied by a balanced, three-phase, 480 -volt source.

(a) Draw the power triangle for each load and for the combined load.

(b) Determine the power factor of the combined load and state whether lagging or leading.

(c) Determine the magnitude of the line current from the source.

(d) \(\Delta\)-connected capacitors are now installed in parallel with the combined load. What value of capacitive reactance is needed in each leg of the A to make the source power factor unity? Give your answer in \(\Omega\).

(e) Compute the magnitude of the current in each capacitor and the line current from the source.