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In an AC circuit, if the power factor is 0.8, what is the angle between the volt
In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)
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Practice Questions
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Q1
In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)
36.87°
53.13°
60°
45°
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The angle θ can be found using cos(θ) = power factor. Therefore, θ = cos⁻¹(0.8) ≈ 36.87°.
Questions & Step-by-step Solutions
1 item
Q
Q: In an AC circuit, if the power factor is 0.8, what is the angle between the voltage and current? (2020)
Solution:
The angle θ can be found using cos(θ) = power factor. Therefore, θ = cos⁻¹(0.8) ≈ 36.87°.
Steps: 5
Show Steps
Step 1: Understand that the power factor is the cosine of the angle (θ) between voltage and current in an AC circuit.
Step 2: Write the formula that relates power factor to the angle: cos(θ) = power factor.
Step 3: Substitute the given power factor (0.8) into the formula: cos(θ) = 0.8.
Step 4: To find the angle θ, use the inverse cosine function: θ = cos⁻¹(0.8).
Step 5: Calculate the value of θ using a calculator: θ ≈ 36.87°.
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