Can a motor run without permanent split capacitor?

Yes, a motor can run without a permanent split capacitor (PSC) if it is designed to operate without one, such as in some induction motors. However, PSCs are commonly used in single-phase motors to improve starting torque and efficiency. Without a PSC, the motor may experience reduced performance, difficulty starting, or even overheating, depending on its design and application. Thus, while it's possible for certain motors to run without a PSC, it may not be optimal for their operation.