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In an AC circuit, if the power factor is 0.5, what is the angle between voltage
In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?
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Practice Questions
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Q1
In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?
30 degrees
60 degrees
90 degrees
45 degrees
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The power factor is cos(θ). If PF = 0.5, then θ = cos^(-1)(0.5) = 60 degrees.
Questions & Step-by-step Solutions
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Q
Q: In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?
Solution:
The power factor is cos(θ). If PF = 0.5, then θ = cos^(-1)(0.5) = 60 degrees.
Steps: 6
Show Steps
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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