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Sol:\rightarrow paver foctor (p f)=\cos \theta=0.856 lagging. apperant paver (S)=p+j Q active paitr Reactive pawer.Q Kuar\begin{array}{l}\cos \theta=\frac{P}{s} \\P=s \cos \theta \\\sin \theta=\frac{Q}{s} \Rightarrow Q=s \sin \theta .\end{array}\begin{aligned}\therefore \cos \theta & =0.856 . \\\theta & =\cos ^{-1}(0.856)=31.13^{\circ}\end{aligned}\sin \theta=0.517\begin{aligned}\rightarrow \text { active paver }(p) & =S \cos \theta \\& =12 \times 10^{3} \times 0.856 \\& =10272 \text { walts } \\& =10.272(\mathrm{kcw}) .\end{aligned}\rightarrow Recutive power (Q)=S \sin \theta\begin{array}{l}=12 \times 10^{3} \times 0.517 \\=6204 \mathrm{NAr} \\=6.204(\mathrm{KVAr})\end{array}Apperant power\begin{aligned}(s) & =P+j Q \\& =10272+j 6204\end{aligned}\begin{aligned}(s) & =V_{\text {rus }} \text { Prus } \\\text { Irus } & =\frac{10272+j 6204}{120}=100431.13^{\circ}\end{aligned}Anus =100\lfloor-3\rfloor \cdot 13^{\circ}(A)\text { Evpredaice } \begin{aligned}(z) & =\frac{\text { Vrms }}{2 \text { rues }}=\frac{120 \cdot 10^{\circ}}{100\left(-31.13^{\prime}\right.} \\& =1.027195+j 0.6203 \\& =1.2431 .13^{\circ}(\Omega)\end{aligned} ...