Question: A balanced three-phase source supplies power to three loads. The loads are: Load 1: 20 kVA at 0.6 pf lagging Load 2: 12 kW at

A balanced three-phase source supplies power to three loads. The loads are:
Load 1: 20 kVA at 0.6 pf lagging
Load 2: 12 kW at 0.75 pf lagging
Load 3: unknown
If the line voltage at the load is 208 V rms, the magnitude of the total complex power is 35.52 kVA and the combined power factor at the load is 0.88 lagging, find the unknown load.

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