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

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Question: In an AC circuit, if the power factor is 0.5, what is the angle between voltage and current?

Options:

Correct Answer: 60 degrees

Solution:

The power factor is cos(θ). If PF = 0.5, then θ = cos^(-1)(0.5) = 60 degrees.

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

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.

Power Factor – The power factor (PF) is the cosine of the phase angle (θ) between the voltage and current in an AC circuit, indicating the efficiency of power usage.
Phase Angle Calculation – Understanding how to calculate the phase angle from the power factor using the inverse cosine function.