What is the power factor in an AC circuit with a phase angle of 30 degrees? (202

Practice Questions

Q1
What is the power factor in an AC circuit with a phase angle of 30 degrees? (2022)
  1. 0.5
  2. 0.866
  3. 1
  4. 0.707

Questions & Step-by-Step Solutions

What is the power factor in an AC circuit with a phase angle of 30 degrees? (2022)
  • Step 1: Understand that the power factor in an AC circuit is calculated using the cosine of the phase angle.
  • Step 2: Identify the phase angle given in the question, which is 30 degrees.
  • Step 3: Use the cosine function to find the power factor: power factor = cos(30°).
  • Step 4: Calculate cos(30°). The value of cos(30°) is √3/2.
  • Step 5: Convert √3/2 to a decimal to get an approximate value. √3/2 is about 0.866.
  • Step 6: Conclude that the power factor for the AC circuit with a phase angle of 30 degrees is approximately 0.866.
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