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A three-phase star-connected load draws 3600 VAR when the line voltage is 200 V and the line current is 10√3 A. The power factor is ______.

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SSC JE Electrical 05 Jun 2024 Shift 3 Official Paper - 1
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  1. zero
  2. 0.8
  3. 1
  4. 0.6

Answer (Detailed Solution Below)

Option 2 : 0.8
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Detailed Solution

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We have,

Q = 3600 VAr

VL = 200 volts

IL = 10√3 A

Hence, S = √3VLIL = √3 × 200 × 10√3 = 6000 VA

Now, sin ϕ = Q/S = 3600/6000 = 0.6

Hence, cos ϕ = 0.8

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