A standard practice for utility companies is to divide 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 in Fig. P11.94 With a line voltage of $416 / 30^{\circ} \mathrm{V} \mathrm{rms}$, 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.