A three-phase system has an effective line
voltage of 240 V, and is connected to a
balanced delta load which draws 5 kW at a
power factor of 0.8, then the line current is:
Select one:
a. 13.88 A
b. 16.4 A
c. 12.89 A
d. 15.04 A
e. 12.03 A
Since
"PF = \\frac{P}{S} \\implies S= \\frac{ 5000}{0.8} - 6250 VA" .
From the formula for apparent power
"S = 3U_pI_p \\implies I_p=\\frac{ 6250}{3*240}= 8.681A."
Line current is "\\sqrt{3}" times greater then phase current
"I_L=\\sqrt{3}*8.681 =15.035 A" (Option D)
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