Introduction:
In electrical engineering, power factor is a measure of how effectively a device converts electrical power into useful work. A high power factor indicates that a device is operating efficiently and effectively utilizing the electrical power supplied to it. In the case of motors, a high power factor is desirable as it reduces the amount of reactive power required from the electrical system.

Explanation:
Among the given options, the capacitor run motor is the one that operates at a high power factor. This is due to the presence of a capacitor in the motor circuit, which helps to improve the power factor.

Capacitor Run Motor:
A capacitor run motor is a type of single-phase induction motor that has a capacitor connected in series with the auxiliary winding. The capacitor provides a leading current to the auxiliary winding, which helps to improve the power factor of the motor.

Working Principle:
When the motor is initially started, the capacitor is connected in series with the auxiliary winding. This creates a phase difference between the main winding current and the auxiliary winding current, resulting in a rotating magnetic field. Once the motor reaches a certain speed, a centrifugal switch disconnects the capacitor from the circuit, and the motor continues to run on the main winding alone.

Advantages of Capacitor Run Motor:
1. High Power Factor: The presence of the capacitor in the circuit helps to improve the power factor of the motor, resulting in efficient operation.
2. High Efficiency: The improved power factor leads to reduced losses and increased efficiency of the motor.
3. Higher Starting Torque: The auxiliary winding and capacitor arrangement provide a higher starting torque compared to other types of single-phase motors.

Conclusion:
In summary, the capacitor run motor is the type of motor that operates at a high power factor. The presence of a capacitor in the circuit helps to improve the power factor, resulting in efficient operation and reduced reactive power demand from the electrical system.