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A 500 kW synchronous motor at 0.9 power factor leading and 95 per cent efficiency draws an input apparent power of nearest

  • A.450 kVA
  • B.585 kVA
  • C.526 kVA
  • D.500 kVA

Answer: B

Correct answer: 585 kVA

Two steps: the input power exceeds the output by the efficiency, and the apparent power exceeds the input power by the power factor. \[ \frac{500}{0.95} = 526\ \mathrm{kW}, \qquad \frac{526}{0.9} = 585\ \mathrm{kVA}. \] Dividing by only one of the two gives 526 or 555, both plausible-looking wrong answers.

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