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Power factor, φ = R / √((ωL - 1 / ωC)² + R²)

  1. 8 / √(31 - 25)² + 8²
  2. 8 / √62 + 8²
  3. 8 / 10 = 0.8
  4. Power factor = cos θ = R / Z

Correct answer: Power factor = cos θ = R / Z

Solution

The power factor is defined as the cosine of the phase angle (cos θ), which is equal to the ratio of resistance (R) to the impedance (Z) of the circuit. This matches option D.

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