written 9.5 years ago by
teamques10
★ 70k
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Given:
$p= 1.5 kW \\ Pf = 0.2 (lagging) \\ VL = 440 V \\ F = 50 Hz \\ \text{For a star connected load} \\ Vph = VL / \sqrt3 = 440/ \sqrt3= 254.03 V \\ P= \sqrt3 * VLIL \cos ф \\ 1.5 * 103 = \sqrt3 * 440 * IL * 0.2 \\ IL= 9.84A \\ Iph = IL = 9.84A \\ Zph = Vph/ Jph = 254.03/ 9.84 = 25.82 Ω \\ Ф= \cos-1 (0.2) = 78.46o \\ Zpn= Zph \lt Ф \\ = 25.82 \lt 78.46o \\ = (5.17 + j25.3) Ω \\ ∴ R = 5.17 Ω \\ XLpn = 25.3 Ω \\ But, XLpn = 2πfLpn \\ 25.3 = 2π * 50 * Lpn \\ Lpn= 0.08 H$
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