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

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Question: What is the power factor in an AC circuit with a phase angle of 30 degrees? (2022)

Options:

Correct Answer: 0.866

Exam Year: 2022

Solution:

The power factor is cos(30°) = √3/2 ≈ 0.866.

What is the power factor in an AC circuit with a phase angle of 30 degrees? (2022)

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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