Answered: Problem-An alternating current i is…

Problem-An alternating current i is given by i = 141.4 sin (314t) Find i) The maximum value ii) Frequency iii) Time Period iv) The instantaneous value when t = 3ms i = 141.4 sin (314t).

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter7: Alternating Current, Power Distribution, And Voltage Systems

Section: Chapter Questions

Problem 7RQ

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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.

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Problem-An alternating current i is given by i = 141.4 sin (314t)
Find
i) The maximum value
ii) Frequency
iii) Time Period
iv) The instantaneous value when t
=
3ms i = 141.4 sin(314t).

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