Mindtap For Herman's Delmar's Standard Textbook Of Electricity, 2 Terms Printed Access Card (mindtap Course List)
Mindtap For Herman's Delmar's Standard Textbook Of Electricity, 2 Terms Printed Access Card (mindtap Course List)
7th Edition
ISBN: 9781337900621
Author: Stephen L. Herman
Publisher: Cengage Learning
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Chapter 17, Problem 4PP

Assume the circuit shown in Figure 17-2 has a power factor of 78%, an apparent power of 374.817 VA, and a frequency of 400 Hz. The inductor has an inductance of 0.0382 H.

E T _____ I T  _____ Z_____ VA 374 .817 PF 78% E R _____ I R  _____ R_____ P_____ θ _____ E L _____ I L _____ X L _____ VARs L _____ L 0 .0382 H

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Three similar coils, connected in star, take a total power of 1.5 kW, at a power factor of 0.2, from a three-phase, 400 V, 50 Hz supply. Calculate: (a) the resistance and inductance of each coil; (b) the line currents if one of the coils is short-circuited.
(a) Three 20 µF capacitors are star-connected across a 400 V, 50 Hz, three-phase, three-wire supply. Calculate the current in each line. (b) If one of the capacitors is short-circuited, calculate the line cur rents. (c) If one of the capacitors is open-circuited, calculate: the line currents and the p.d. across each of the other two capacitors. ANS: 1.525 A; 2.64 A, 2.64 A, 4.57 A; 1.32 A, 1.32 A, 0; 210 V
Explain the advantages of three-phase supply for distribution purposes. (b) Assuming the relationship between the line and phase values of currents and voltages, show that the active power input to a three-phase balanced load is √3VI cos φ, where V and I are line quantities. (c) Three similar inductors, each of resistance 10 Ω and inductance 0.019 H, are delta-connected to a three-phase, 400 V, 50 Hz sinusoidal supply. Calcu late: the value of the line current; the power factor and the active power input to the circuit. ANS:  59.5 A, 0.858 lag, 35.5 kW

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Mindtap For Herman's Delmar's Standard Textbook Of Electricity, 2 Terms Printed Access Card (mindtap Course List)

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