A residential four-wire system supplies power at 220V rms to the following single-phase appliances: On the first phase, there are ten 75-W bulbs. On the second phase, there is a 750-W vacuum cleaner with a power factor of 0.87. On the third phase, there are ten 40-W fluorescent lamps with power factor of 0.64.
Find (a) The current in the neutral wire. (b) The real, reactive, and apparent power for each phase.