Synchronous Motors
As the load is applied to a synchronous motor, the motor takes more armature current because

The back e.m.f. decreases causing an increase in motor current
The rotor strengthens the rotating field causing more motor current
The rotor by shifting its phase backward causes motor to take more current
The increased load has to take more current

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Synchronous Motors
Synchronous capacitor is

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

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Synchronous Motors
A synchronous motor connected to infinite bus-bars has at constant full load, 100% excitation and unity power factor. On changing the excitation only, the armature current will have

no change of power factor
lagging power factor with over-excitation
leading power factor with over-excitation
leading power factor with under-excitation

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