In the single-phase power system of Fig. 1.4, calculate the active and reactive powers transferred from bus

Question:

In the single-phase power system of Fig. 1.4, calculate the active and reactive powers transferred from bus 1 to bus 2. Consider the following data:
\[
\mathbf{V}_{\mathbf{1}}=\left(10 \angle 30^{\circ}ight) V, \mathbf{V}_{\mathbf{2}}=\left(5 \sqrt{3} \angle 0^{\circ}ight) V, \mathbf{Z}=j 5 \Omega
\]
1) \(10 \mathrm{~W}, 10 \sqrt{3} \mathrm{VAr}\)
2) \(5 W, 4 \sqrt{3} V A r\)
3) \(5 \mathrm{~W}, 4 \mathrm{VAr}\)
4) \(5 \sqrt{3} W\), 5 VAr

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