A single-phase transmission line of impedance j0.8 ohm supplies a resistive load of 500 A at 300 V. The sending end power factor is ________

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ISRO (VSSC) Technical Assistant Electrical 2017 Official Paper
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  1. Unity
  2. 0.8 lagging
  3. 0.8 leading
  4. 0.6 lagging

Answer (Detailed Solution Below)

Option 4 : 0.6 lagging
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Detailed Solution

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Given: Impedance = j0.8 Ω, Current = 500 A, Voltage = 300 V

We know that

VS = VR + IZS

Here VS = Sending voltage, VR = Receiving end voltage, ZS = Line impedance

VS = VR + IZS = 300 + 500 × 0.8j = 300 + 400j = 500∠53.13°

Power factor = cos 53.13° = 0.6 lagging

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