Prob A supply voltage Vs with magnitude of 230 Volt RMS with 60 Hz frequency and a phase angle of zero degrees is connected in parallel configuration to two loads each load consumes power as following: Load 1: 30 K watts with Power factor of 1. (PF= 1) Load 2: 5 K VA (apparent power) with Power factor of 0.86 (PF = 0.86) lagging. (Note that lagging PF means the difference between phase of the voltage and phase of the current is positive) A. (10 pts) The complex power consumed by each load B. (10 pts) The current drawn by each load from the source. 230 RMS 60Hz 0° Load 1 GND Load 2

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Synchronous Motor

The synchronous motor is an AC electric type motor where at a steady-state the shaft rotation is synchronized with the supply current variable-frequency. To an integral number of AC cycles, the rotation period is exactly equal. The stator of the motor in the synchronous motor contains multi-phase AC electromagnets due to which a magnetic field is created that rotates in time with the oscillation of the line current. The rotor contains a permanent magnet and the rotor rotates in synchronization with the stator field at the same rate and provides the second synchronized magnetic field which is rotating in nature as a result. When the synchronous motor is supplied with independently excited multi-phase AC electromagnets on both the rotor and the stator, it is termed as a doubly-fed machine. The most widely used AC-type motors are the synchronous AC motor and the induction AC motors.