1. The following circuit has three loads connected in parallel to a 1.0 kV RMS voltage source at a frequency of 60-Hz (single-phase). The data of the three loads are as follows: Load 1: Inductive, 125 kVA, 0.28 power factor (lagging) ● Load 2: Capacitive, 10 kW, 40 KVAR • Load 3: Resistive, 15 kW a. Determine the total active, reactive, and complex power of the total load. Show all calculations. b. Determine the power factor (PF) of the total load. Show all calculations. c. To improve the power factor, it is desired to connect a capacitive load (capacitor) in parallel with the three loads. Determine the capacitor capacitance (in microFarads) needed to increase the power factor to 0.8 lagging. Show all calculations. 1000 V 4₁ Load 1 12 Load 2 13 Load 3

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1. The following circuit has three loads
connected in parallel to a 1.0 kV RMS
voltage source at a frequency of 60-Hz
(single-phase). The data of the three loads
are as follows:
Load 1: Inductive, 125 kVA, 0.28 power
factor (lagging)
● Load 2: Capacitive, 10 kW, 40 KVAR
• Load 3: Resistive, 15 kW
a. Determine the total active, reactive, and
complex power of the total load. Show all
calculations.
b. Determine the power factor (PF) of the
total load. Show all calculations.
c. To improve the power factor, it is desired
to connect a capacitive load (capacitor) in
parallel with the three loads. Determine the
capacitor capacitance (in microFarads)
needed to increase the power factor to 0.8
lagging. Show all calculations.
1000 V
4₁
Load
1
12
Load
2
13
Load
3
Transcribed Image Text:1. The following circuit has three loads connected in parallel to a 1.0 kV RMS voltage source at a frequency of 60-Hz (single-phase). The data of the three loads are as follows: Load 1: Inductive, 125 kVA, 0.28 power factor (lagging) ● Load 2: Capacitive, 10 kW, 40 KVAR • Load 3: Resistive, 15 kW a. Determine the total active, reactive, and complex power of the total load. Show all calculations. b. Determine the power factor (PF) of the total load. Show all calculations. c. To improve the power factor, it is desired to connect a capacitive load (capacitor) in parallel with the three loads. Determine the capacitor capacitance (in microFarads) needed to increase the power factor to 0.8 lagging. Show all calculations. 1000 V 4₁ Load 1 12 Load 2 13 Load 3
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