A standard practice for utility companies is to divide its customers into single-phase users and three-phase users. The utility must provide three-phase users, typically industries, with all three phases. However, single-phase users, residential and light commercial, are connected to only one phase. To reduce cable costs, all single-phase users in a neighborhood are connected together. This means that even if the three-phase users present perfectly balanced loads to the power grid, the single-phase loads will never be in balance, resulting in current flow in the neutral connection. Consider the 60-Hz, abc-sequence network shown. With a line voltage of , phase a supplies the single-phase users on A Street, phase b supplies B Street and phase c supplies C Street. Furthermore, the three-phase industrial load, which is connected in delta, is balanced. Find the neutral current.

Three-phse 36kW pf 0.5 laggig AN SH CH 24040 A Sreet B Street 30 kW pf = 1 C Stret 60kW pf 1 2404-120 240 12048 kW pf = 1 rms fiti V rms