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

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Question: In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)

Options:

  1. 36.87°
  2. 53.13°
  3. 60°
  4. 45°

Correct Answer: 53.13°

Exam Year: 2020

Solution: 

The angle θ can be found using cos(θ) = power factor. Therefore, θ = cos⁻¹(0.8) ≈ 36.87°.

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°.
  • Power Factor – The power factor in an AC circuit is the cosine of the phase angle between the voltage and current, indicating the efficiency of power usage.
  • Phase Angle Calculation – The phase angle can be calculated using the inverse cosine function of the power factor.
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