Synchronous Motors
Synchronous capacitor is

An over excited synchronous motor running without mechanical load
An ordinary static capacitor bank
An over excited synchronous motor driving mechanical load
None of the listed here

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Synchronous Motors
The power factor of a synchronous motor is better than that of induction motor because

synchronous motor runs at synchronous speed
synchronous motor has large air gap
mechanical load on the motor can be adjusted
stator supply is relieved of responsibility of producing magnetic field

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