Physics · Alternating currents, peak and RMS value of alternating current/voltage

The average half-cycle value of a sine wave with a peak is

The average half-cycle value of a sine wave with a \( 40 V \) peak is

  • A. \( 25.48 V \)
  • B. \( 6.37 V \)
  • C. \( 14.14 V \)
  • D. \( 50.96 V \)

Step-by-step solution

The average half-cycle value (average rectified value) of a sine wave is given by (2/π) times the peak value. For a peak of 40 V, average = (2/π) × 40 ≈ 25.46 V, which rounds to 25.48 V.
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