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A 250 V rms voltage source supplies three loads as shown in figure below, where
L1: 20 kW at upf
L2: 25 kVA at 0.8 pf lag
L3: 40 kVA at 0.75 pf lag
Find the total power(kW) supplied by the source and the source p.f
  • a)
    65kW , 0.86 lag
  • b)
    70 kW , 0.86 lead
  • c)
    65 kW , 0.76 lag
  • d)
    70 kW , 0.86 lag
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A 250 V rms voltage source supplies three loads as shown in figure be...
Given Vs = 250 ∠0°.
I2 = 100∠ -cos-1(0.8) = ∠ -36.86 = 80 - j60 A
I3 = 160 = 160A∠ -cos-1(0.75) = 160∠ -41.4 = 120 - j105.8 A
Isource = I1 + I2 + I3
= 280 – j 165.8 = 325.4 ∠–30.63
Source Power (kω) = VI cos ϕ
= 250 × 325.4 cos 30.63 = 70 kw
Source p.f. = cos 30.63 log = 0.86 lag
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Community Answer
A 250 V rms voltage source supplies three loads as shown in figure be...
Given Vs = 250 ∠0°.
I2 = 100∠ -cos-1(0.8) = ∠ -36.86 = 80 - j60 A
I3 = 160 = 160A∠ -cos-1(0.75) = 160∠ -41.4 = 120 - j105.8 A
Isource = I1 + I2 + I3
= 280 – j 165.8 = 325.4 ∠–30.63
Source Power (kω) = VI cos ϕ
= 250 × 325.4 cos 30.63 = 70 kw
Source p.f. = cos 30.63 log = 0.86 lag
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A 250 V rms voltage source supplies three loads as shown in figure below, whereL1: 20 kW at upfL2: 25 kVA at 0.8 pf lagL3: 40 kVA at 0.75 pf lagFind the total power(kW) supplied by the source and the source p.fa)65kW , 0.86 lagb)70 kW , 0.86 leadc)65 kW , 0.76 lagd)70 kW , 0.86 lagCorrect answer is option 'D'. Can you explain this answer?
Question Description
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