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Three identical coil each $[4.2 +j 5.6] \Omega$ are connected in star across 415V, 3 phase, and 50Hr supply. Determine (i) Vph (ii) Iph (iii) power factor.

written 9.4 years ago by teamques10 ★ 70k

•   modified 5.6 years ago

basic electrical engineering

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written 9.4 years ago by teamques10 ★ 70k

$\bar{Z}_{ph}=4.2+j5.6=7\angle53.13 \\ V_L=415 V \\ f=50 H_2 \\ \text{In star connection} \\ 1) e_{ph}=\dfrac{V_L}{\sqrt{3}}=239.6 V \\ \; \bar{Z}=7153.13 \hspace{1cm} so(\bar{Z}_{ph})=7 \& \emptyset=5313 \\ \; 2) I_{ph}=\dfrac{V_{ph}}{(\bar{Z}_{ph})}=\dfrac{239.6}{7}=34.229A \\ \; 3) \text{Power Factor}=\cos \emptyset=0.6$

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