A motor load consists of a resistance of 6 Ohms in series with an inductance of 12 mH. Assume 120Vac, 60 Hz supply. a. What is the complex impedance of the load? b. What is the ac current through this load? c. What is theta, the angle between voltage and current through this load?

A motor load consists of a resistance of 6 Ohms in series with an inductance of 12 mH. Assume 120Vac, 60 Hz supply. a. What is the complex impedance of the load? b. What is the ac current through this load? c. What is theta, the angle between voltage and current through this load?

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...

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Concept explainers

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.

Question

1. A motor load consists of a resistance of 6 Ohms in series with an inductance of 12 mH. Assume 120Vac, 60 Hz supply.

a. What is the complex impedance of the load?

b. What is the ac current through this load?

c. What is theta, the angle between voltage and current through this load?

d. What is the power factor?

e. What capacitance should be added in parallel with this load to correct the power factor to 1?

f. What is the current from the supply when the power factor is corrected?

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