the capacitor current actually cancels out the inductors current.-A capacitor in parallel with a motor will not change the current or speed of the motor.It will increase the power factor, but the total power will not change.Increasing the power factor is good for the power company, but it wont reduce your bill.......
Now you might argue that well those 16 cars that are repaired still needs to use the road to get sent back to the owner. I would say the repaired one uses a different road. Because in electric terms power that gets consumed dont go back along the electric line but gets output as useful power. Well theres losses and stuff after that but lets keep it simple right now.
Motors acts as loads with inductance. The motor's inductance draws current at a lagging 90° phase, that is the voltage across the inductor lead the current through the inductor by 90°. The added capacitor draws current that leads the applied voltage by 90°. The capacitor's current leads the inductor's current by 180°, the capacitor current actually cancels out the inductor's current.
A capacitor in parallel with a motor will not change the current or speed of the motor. It will increase the power factor, but the total power will not change. Increasing the power factor is good for the power company, but it won't reduce your bill.
