In the single-phase power bus of Fig. 1.13, determine the capacitance of the shunt capacitor that needs

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In the single-phase power bus of Fig. 1.13, 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 data:

\[
\begin{gathered}
\text { Load }: S=20 k V A, \cos (\theta)=0.8 \text { Lagging } \\
V_{r m s}=200 V, f=50 H z, \pi \cong 3
\end{gathered}
\]

1) \(1 \mu \mathrm{F}\).

2) \(1 \mathrm{mF}\).

3) \(0.5 \mathrm{mF}\).

4) It is impossible to adjust the power factor of the bus at one.

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