ISRO Electrical Engineering (EE) 2018 - Question 24

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Input voltage v = 230 sin(100πt) Volts is given to a converter and the current drawn by the converter is i = 20 sin(100πt - π/3) + 10 sin(300πt + 45°) + 2 sin(700πt - π/6) Amps. What is the active power drawn by the converter?

  • A. 2300 W
  • B. 1150 W
  • C. 4324 W
  • D. 2162 W

Answer: B. 1150 W

Explanation: Active power P = V1,rms · I1,rms · cos φ1 = (230/√2) × (20/√2) × cos(60°) = 2300 × 0.5 = 1150 W (higher harmonics contribute zero net active power).

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