A 30 Ω resistor and a reactor coil (inductor coil) with a 0.2 H inductance and negligible resistance are connected in series across a 120 V, 25 Hz supply. Determine: the impedance of the circuit. the current. the true power in watts taken by the circuit. the power factor. the phase angle

A 30 Ω resistor and a reactor coil (inductor coil) with a 0.2 H inductance and negligible resistance are connected in series across a 120 V, 25 Hz supply. Determine: the impedance of the circuit. the current. the true power in watts taken by the circuit. the power factor. the phase angle

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 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...

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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

A 30 Ω resistor and a reactor coil (inductor coil) with a 0.2 H inductance and negligible resistance are connected in series across a 120 V, 25 Hz supply. Determine:
1. the impedance of the circuit.
2. the current.
3. the true power in watts taken by the circuit.
4. the power factor.
5. the phase angle

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