Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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12 10 ACTIVE, REACTIVE, AND APPARENT POWER 159 b. line current I is shown as entering by a. The reactive power absorbed by the reactor b. The apparent power absorbed by the reactor c. The peak power input to the reactor d. The peak power output of the reactor e. The duration of each positive power pulse 11 Using the rules given in Sections 16 and 17, determine which of the devices in Fig. 24a through 24f acts as an active (or reac- tive) power source. terminal a. Otherwise, the device is a reactive source, Based on these rules, and observing the phasor rela- tionships in Fig. 23, we deduce that device A is an ac- tive source because I, is 180° out of phase with E. Also, device A is a reactive load because I, lags 90° behind Eab· A single-phase motor draws a current of 12 A at a power factor of 60 percent. Calculate the in-phase and quadrature components of cur- rent I, and I, with respect to the line voltage. 13 A single-phase motor draws a current of 16 A from a 240 V, 60 Hz line. A wattmeter connected into the line gives a reading of 2765 W. Calculate the power factor of the motor and the reactive power it absorbs. 14 If a capacitor having a reactance of 30N is connected in parallel with the motor of Problem 13, calculate a. The active power reading of the wattmeter b. The total reactive power absorbed by the capacitor and motor c. The apparent power of the ac line d. The line current e. The power factor of the motor/capacitor Questions and Problems Practical level What is the unit of active power? reactive power? apparent power? A capacitor of 500 kvar is placed in parallel 2 with an inductor of 400 kvar. Calculate the apparent power of the group. Name a static device that can generate reac- tive power. tion is 3 carrie e vol Name a static device that absorbs reactive 4. power. What is the approximate power factor, in percent, of a capacitor? of a coil? of an in- candescent lamp? 6 The current in a single-phase motor lags 50° behind the voltage. What is the power factor combination 15 Using only power triangle concepts (Section 14) and without drawing any pha- sor diagrams, find the impedance of the cir- cuits in Fig. 25. An induction motor absorbs an apparent power of 400 kVA at a power factor of 80 percent. Calculate a. The active power absorbed by the motor b. The reactive power absorbed by the motor c. What purpose does the reactive power serve of the motor? Intermediate level A large motor absorbs 600 kW at a power fac- tor of 90 percent. Calculate the apparent power and reactive power absorbed by the machine. 16 8. A 200 µF capacitor is connected to a 240 V, 60 Hz source. Calculate the reactive power it generates. 9 A 10 Q resistor is connected across a 120 V, 60 Hz source. Calculate 17 A circuit composed of a 12 Q resistor in se- ries with an inductive reactance of 5 Q car- a. The active power absorbed by the resistor b. The apparent power absorbed by the resistor c. The peak power absorbed by the resistor d. The duration of each positive power pulse ries an ac current of 10 A. Calculate a. The active power absorbed by the resistor b. The reactive power absorbed by the inductor c. The apparent power of the circuit d. The power factor of the circuit A 10 reactance is connected to a 120 V, 60 Hz line. Calculate
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Transcribed Image Text:12 10 ACTIVE, REACTIVE, AND APPARENT POWER 159 b. line current I is shown as entering by a. The reactive power absorbed by the reactor b. The apparent power absorbed by the reactor c. The peak power input to the reactor d. The peak power output of the reactor e. The duration of each positive power pulse 11 Using the rules given in Sections 16 and 17, determine which of the devices in Fig. 24a through 24f acts as an active (or reac- tive) power source. terminal a. Otherwise, the device is a reactive source, Based on these rules, and observing the phasor rela- tionships in Fig. 23, we deduce that device A is an ac- tive source because I, is 180° out of phase with E. Also, device A is a reactive load because I, lags 90° behind Eab· A single-phase motor draws a current of 12 A at a power factor of 60 percent. Calculate the in-phase and quadrature components of cur- rent I, and I, with respect to the line voltage. 13 A single-phase motor draws a current of 16 A from a 240 V, 60 Hz line. A wattmeter connected into the line gives a reading of 2765 W. Calculate the power factor of the motor and the reactive power it absorbs. 14 If a capacitor having a reactance of 30N is connected in parallel with the motor of Problem 13, calculate a. The active power reading of the wattmeter b. The total reactive power absorbed by the capacitor and motor c. The apparent power of the ac line d. The line current e. The power factor of the motor/capacitor Questions and Problems Practical level What is the unit of active power? reactive power? apparent power? A capacitor of 500 kvar is placed in parallel 2 with an inductor of 400 kvar. Calculate the apparent power of the group. Name a static device that can generate reac- tive power. tion is 3 carrie e vol Name a static device that absorbs reactive 4. power. What is the approximate power factor, in percent, of a capacitor? of a coil? of an in- candescent lamp? 6 The current in a single-phase motor lags 50° behind the voltage. What is the power factor combination 15 Using only power triangle concepts (Section 14) and without drawing any pha- sor diagrams, find the impedance of the cir- cuits in Fig. 25. An induction motor absorbs an apparent power of 400 kVA at a power factor of 80 percent. Calculate a. The active power absorbed by the motor b. The reactive power absorbed by the motor c. What purpose does the reactive power serve of the motor? Intermediate level A large motor absorbs 600 kW at a power fac- tor of 90 percent. Calculate the apparent power and reactive power absorbed by the machine. 16 8. A 200 µF capacitor is connected to a 240 V, 60 Hz source. Calculate the reactive power it generates. 9 A 10 Q resistor is connected across a 120 V, 60 Hz source. Calculate 17 A circuit composed of a 12 Q resistor in se- ries with an inductive reactance of 5 Q car- a. The active power absorbed by the resistor b. The apparent power absorbed by the resistor c. The peak power absorbed by the resistor d. The duration of each positive power pulse ries an ac current of 10 A. Calculate a. The active power absorbed by the resistor b. The reactive power absorbed by the inductor c. The apparent power of the circuit d. The power factor of the circuit A 10 reactance is connected to a 120 V, 60 Hz line. Calculate
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