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In an AC circuit, if the current lags the voltage by 30 degrees, what is the pow
In an AC circuit, if the current lags the voltage by 30 degrees, what is the power factor? (2023)
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Practice Questions
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Q1
In an AC circuit, if the current lags the voltage by 30 degrees, what is the power factor? (2023)
0.866
0.5
1
0.707
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The power factor (PF) is given by cos(θ). If θ = 30 degrees, PF = cos(30°) = √3/2 ≈ 0.866.
Questions & Step-by-step Solutions
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Q
Q: In an AC circuit, if the current lags the voltage by 30 degrees, what is the power factor? (2023)
Solution:
The power factor (PF) is given by cos(θ). If θ = 30 degrees, PF = cos(30°) = √3/2 ≈ 0.866.
Steps: 7
Show Steps
Step 1: Understand that in an AC circuit, the current can either lead or lag the voltage. In this case, the current lags the voltage.
Step 2: Identify the angle by which the current lags the voltage. Here, it is given as 30 degrees.
Step 3: The power factor (PF) is calculated using the formula PF = cos(θ), where θ is the angle of lag.
Step 4: Substitute the angle into the formula. So, PF = cos(30°).
Step 5: Calculate cos(30°). The value of cos(30°) is √3/2.
Step 6: Convert √3/2 to a decimal for easier understanding. √3/2 is approximately 0.866.
Step 7: Conclude that the power factor is approximately 0.866.
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