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What is the power factor of an AC circuit with a phase angle of 60 degrees?

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Question: What is the power factor of an AC circuit with a phase angle of 60 degrees?

Options:

  1. 0.5
  2. 0.866
  3. 1
  4. 0.707

Correct Answer: 0.866

Solution: 

The power factor (PF) is given by cos(θ). For a phase angle of 60 degrees, PF = cos(60°) = 0.5.

What is the power factor of an AC circuit with a phase angle of 60 degrees?

Practice Questions

Q1
What is the power factor of an AC circuit with a phase angle of 60 degrees?
  1. 0.5
  2. 0.866
  3. 1
  4. 0.707

Questions & Step-by-Step Solutions

What is the power factor of an AC circuit with a phase angle of 60 degrees?
Correct Answer: 0.5
  • Step 1: Understand that the power factor (PF) is a measure of how effectively electrical power is being converted into useful work output.
  • Step 2: Know that the power factor is calculated using the cosine of the phase angle (θ) in an AC circuit.
  • Step 3: Identify the given phase angle, which is 60 degrees in this case.
  • Step 4: Use the formula for power factor: PF = cos(θ).
  • Step 5: Calculate the cosine of 60 degrees. You can use a calculator or remember that cos(60°) = 0.5.
  • Step 6: Conclude that the power factor for a phase angle of 60 degrees is PF = 0.5.
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