3 similar coils each having a resistance of 10Ω and inductance of 0.04 H are connected in star across a 3 phase,50 Hz, 200V supply. Calculate the line current, total power absorbed, reactive volt amperes and total volt amperes. -

$R=10 \Omega \\ L=0.04H \\ X_L=12.5664\Omega$

In star connection

$V_L=200V \\ e_{ph}=\dfrac{200}{\sqrt3}=115.47V \\ Z_{ph}=\sqrt{R^2+X_L^2}=16.0591\Omega \\ \emptyset_{ph}=\tan^{-1}\bigg(\dfrac{X_L}{R}\bigg)=51.488 ; pf=\cos\emptyset=0.622 \\ I_{ph}=\dfrac{V_{ph}}{Z_{ph}}=7.19A \\ \boxed{P_{ACTIVE}=\sqrt3V_LI_L\cos\emptyset_{ph}=1.549KW \\P_{REACTIVE}=\sqrt3V_LI_L\sin\emptyset_{ph}=1.9484KVAR \\ P_{APPARENT}=\sqrt3V_LI_L=2.4907KVA}$