In an AC circuit, if the power factor is 0.5, what is the angle between voltage

Practice Questions

Q1
In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?
  • Step 1: Understand that the power factor (PF) is related to the angle (θ) between voltage and current in an AC circuit.
  • Step 2: Know that the power factor is calculated using the cosine of the angle: PF = cos(θ).
  • Step 3: Given that the power factor is 0.5, we can write the equation: 0.5 = cos(θ).
  • Step 4: To find the angle θ, we need to use the inverse cosine function: θ = cos^(-1)(0.5).
  • Step 5: Calculate the angle: cos^(-1)(0.5) equals 60 degrees.
  • Step 6: Conclude that the angle between voltage and current is 60 degrees.
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