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In an AC circuit, if the power factor is 0.8, what is the angle between the volt

Practice Questions

Q1
In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)
  1. 36.87°
  2. 53.13°
  3. 60°
  4. 45°

Questions & Step-by-Step Solutions

In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)
  • Step 1: Understand that the power factor is the cosine of the angle (θ) between voltage and current in an AC circuit.
  • Step 2: Write the formula that relates power factor to the angle: cos(θ) = power factor.
  • Step 3: Substitute the given power factor (0.8) into the formula: cos(θ) = 0.8.
  • Step 4: To find the angle θ, use the inverse cosine function: θ = cos⁻¹(0.8).
  • Step 5: Calculate the value of θ using a calculator: θ ≈ 36.87°.
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