single phase motor

A 10-KVA single phase motor has a power factor of 0.8 lagging. A capacitor of 4 KVA rating is connected for power factor correction. Calculate the input apparent power in KVA taken from the mains and its power factor when the motor is on (a) Half load (b) Full load

Hello, I use triac to control the permanent capacitor motor. I have attached my schematic and two methods I found for cutting signals. 1. power is applied for several continuous half-cycles and then removed for several half-cycles 2. use the dimming method please help me with their...