In the single-phase power system of Fig. 1.14, three loads have been connected to the power bus

Question:

In the single-phase power system of Fig. 1.14, three loads have been connected to the power bus in parallel. Determine the capacitance of the shunt capacitor that needs to be connected to the bus to adjust its power factor at one for the following specifications. Moreover, calculate the current of the line after connecting the shunt capacitor to the bus:

Load \(1:(8-j 16) \Omega\)

Load \(2:(0.8+j 5.6) \Omega\)

Load \(3: S=5 k V A, \cos (\theta)=0.8\) Lagging

\[
V_{r m s}=200 \mathrm{~V}, f=60 \mathrm{~Hz}
\]

1) \(100 \mu \mathrm{F}, 20 \mathrm{~A}\)

2) \(55 \mu \mathrm{F}, 25 \mathrm{~A}\)

3) \(800 \mu \mathrm{F}, 25 \mathrm{~A}\)

4) \(530 \mu \mathrm{F}, 30 \mathrm{~A}\)

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