The increased use of electronic and electric devices such as ventilators, IV pumps, CRT monitors, and ultrasound and CT scan machines for patient diagnosis in each hospital room place a large burden on the power needs of a hospital. Also, with multiple devices connected to the same circuit, the phase angle between voltage and current begins to increase, resulting in a poor power factor and the introduction of harmonics of the 60.0 Hz frequency of the input power line. The power cable from a switch mode power supply delivering 240 V AC at 60.0 Hz is measured with an ammeter to deliver 10.0 A current to a CT scanner with an internal resistance of 172 Q. A wattmeter, measuring the power delivered in watts, on the same cable shows 1.44 kW reaching the CT scanner. (a) What is the power factor of this circuit? (b) If the phase angle in this circuit is due to the presence of a single capacitor in the power supply, what is the capacitance of this capacitor (in μF)? HF (c) What would be the inductance (in H) of an inductor added in series to this circuit that would result in a power factor of 1? H

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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The increased use of electronic and electric devices such as ventilators, IV pumps, CRT monitors, and ultrasound and CT scan machines for patient diagnosis in each hospital room place a large burden on
the power needs of a hospital. Also, with multiple devices connected to the same circuit, the phase angle between voltage and current begins to increase, resulting in a poor power factor and the
introduction of harmonics of the 60.0 Hz frequency of the input power line. The power cable from a switch mode power supply delivering 240 V AC at 60.0 Hz is measured with an ammeter to deliver 10.0 A
current to a CT scanner with an internal resistance of 172 Q. A wattmeter, measuring the power delivered in watts, on the same cable shows 1.44 kW reaching the CT scanner.
(a) What is the power factor of this circuit?
(b) If the phase angle in this circuit is due to the presence of a single capacitor in the power supply, what is the capacitance of this capacitor (in μF)?
HF
(c) What would be the inductance (in H) of an inductor added in series to this circuit that would result in a power factor of 1?
H
Transcribed Image Text:The increased use of electronic and electric devices such as ventilators, IV pumps, CRT monitors, and ultrasound and CT scan machines for patient diagnosis in each hospital room place a large burden on the power needs of a hospital. Also, with multiple devices connected to the same circuit, the phase angle between voltage and current begins to increase, resulting in a poor power factor and the introduction of harmonics of the 60.0 Hz frequency of the input power line. The power cable from a switch mode power supply delivering 240 V AC at 60.0 Hz is measured with an ammeter to deliver 10.0 A current to a CT scanner with an internal resistance of 172 Q. A wattmeter, measuring the power delivered in watts, on the same cable shows 1.44 kW reaching the CT scanner. (a) What is the power factor of this circuit? (b) If the phase angle in this circuit is due to the presence of a single capacitor in the power supply, what is the capacitance of this capacitor (in μF)? HF (c) What would be the inductance (in H) of an inductor added in series to this circuit that would result in a power factor of 1? H
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