Determine the current in the

Problem 12.12 Solve for the line currents in the Y-Δ circuit. Take ZΔ = 60∠45°Ω.
SINGLE PHASE EQUIVALENT CIRCUIT

Problem 12.22 Find the line currents Ia, Ib, and Ic in the three-phase network below. Take ZΔ = 12 - j15Ω, ZY = 4 + j6 Ω, and Zl = 2 Ω.
ONE DELTA AND ONE Y CONNECTED LOAD IS CONNECTED
TWO Loads are parallel if they are converted to same type.
Delta connected load is converted to Y connection.

Problem 12.26 For the balanced circuit below, Vab = 125∠0° V. Find the line currents IaA, IbB, and IcC.
BALANCED Y CONNECTED LOAD.
Source voltage given is line to line, obtain the line to neutral voltage.

Problem 12.47 The following three parallel-connected three-phase loads are fed by a balanced three-phase source.
Load 1: 250 kVA, 0.8 pf lagging Load 2: 300 kVA, 0.95 pf leading Load 3: 450 kVA, unity pf
If the line voltage is 13.8 kV, calculate the line current and the power factor of the source. Assume that the line impedance is zero.

Problem 12.81 A professional center is supplied by a balanced three-phase source. The center has four plants, each a balanced three-phase load as follows:
Load 1: 150 kVA at 0.8 pf leading Load 2: 100 kW at unity pf
Load 3: 200 kVA at 0.6 pf lagging Load 4: 80 kW and 95 kVAR (inductive)
If the line impedance is 0.02 + j0.05 Ω per phase and the line voltage at the loads is 480 V, find the magnitude of the line voltage at the source.

Problem 12.84 The Figure displays a three-phase delta-connected motor load which is connected to a line voltage of 440 V and draws 4 kVA at a power factor of 72 percent lagging. In addition, a single 1.8 kVAR capacitor is connected between lines a and b, while a 800-W lighting load is connected between line c and neutral. Assuming the abc sequence and taking Van = Vp ∠0°, find the magnitude and phase angle of currents Ia, Ib, Ic, and In.
Total load is UNBALANCED. LINE CURRENTS Ia, Ib, Ic ARE NOT ERQUAL
Single phase, 800 W lighting load connected to phase C only. Pf for lighting loads is unity.