Problem

Three balanced Y-connected loads are installed on a balanced three-phase four-wire system....

Three balanced Y-connected loads are installed on a balanced three-phase four-wire system. Load l draws a total power of 6 kW at unity PF, load 2 pulls 10 kVA at PF = 0.96 lagging, and load 3 demands 7 kW at 0.85 lagging. If the phase voltage at the loads is 135 V, if each line has a resistance of 0.1 Ω. and if the neutral has a resistance of 1 Ω, find (a) the total power drawn by the loads; (b) the combined PF of the loads; (c) the total power lost in the four lines; (d) the phase voltage at the source;(e) the power factor at which the source is operating.

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