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Two impedances, Z1 = 0.8 + j5.6Q and Z2 = 8 - j16 Q, and a single-phase motor are connected in parallel across a 200-V rms, 60-Hz supply as shown in Figure. 5. The motor draws 5 kVA at 0.8 power factor lagging. + I 13 0.8 S3 = 5 kVA M at 0.8 PF lag 20020° V j5.63 -j16:

Two impedances, Z1 = 0.8 + j5.6Q and Z2 = 8 - j16 Q, and a single-phase motor are connected in parallel across a 200-V rms, 60-Hz supply as shown in Figure. 5. The motor draws 5 kVA at 0.8 power factor lagging. + I 13 0.8 S3 = 5 kVA M at 0.8 PF lag 20020° V j5.63 -j16:

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Two impedances, Z1 = 0.8 + j5.6 Q and Z2 = 8 - j16 Q, and a single-phase motor are connected in parallel across a 200-V rms, 60-Hz supply as shown in Figure. 5. The motor draws 5 kVA at 0.8 power factor lagging. + I I3 0.8 S3 = 5 kVA M at 0.8 PF lag 20020° V j5.63 -j16 Figure. 5: Single-phase Circuit with Motor Load 1. Find the complex powers S1, S2 for the two impedances, and S3 for the motor. 2. Determine the total power taken from the supply, the supply current, and the overall power factor. 3. A capacitor is connected in parallel with the loads. Find the kvar and the capacitance in µF to improve the overall power factor to unity. What is the new line current? 4. Repeat part 3 but in this case the power factor has to be improved to 0.95 lag.
Transcribed Image Text:Two impedances, Z1 = 0.8 + j5.6 Q and Z2 = 8 - j16 Q, and a single-phase motor are connected in parallel across a 200-V rms, 60-Hz supply as shown in Figure. 5. The motor draws 5 kVA at 0.8 power factor lagging. + I I3 0.8 S3 = 5 kVA M at 0.8 PF lag 20020° V j5.63 -j16 Figure. 5: Single-phase Circuit with Motor Load 1. Find the complex powers S1, S2 for the two impedances, and S3 for the motor. 2. Determine the total power taken from the supply, the supply current, and the overall power factor. 3. A capacitor is connected in parallel with the loads. Find the kvar and the capacitance in µF to improve the overall power factor to unity. What is the new line current? 4. Repeat part 3 but in this case the power factor has to be improved to 0.95 lag.
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