What does the power factor equal in an R-L...

Question 1 / 27070manL2RgZkIhdakJnTPwm

Question 1 of 27070manL2RgZkIhdakJnTPwm

What does the power factor equal in an R-L circuit having a 30 degree phase angle between the voltage and the current?

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Question 1 of 27070

Q

What does the power factor equal in an R-L circuit having a 30 degree phase angle between the voltage and the current?

🔍 Key Concepts

• Power factor definition in AC circuits • Relationship between phase angle (φ) and power factor in an R-L (resistive–inductive) circuit • Basic trigonometric values for common angles like 30°

💭 Think About

• How is power factor mathematically related to the phase angle between voltage and current in an AC circuit? • For an inductive circuit with a known phase angle, which trigonometric function (sine, cosine, or tangent) represents the power factor? • Once you identify the correct trig function, what is its value at 30°, approximately?

✅ Before You Answer

• Confirm that power factor = cos(φ) for single-phase AC circuits where φ is the angle between voltage and current. • Check the approximate trig values for 30° (cos, sin, tan) before comparing with the answer choices. • Verify that the selected answer is a dimensionless number between 0 and 1 for a lagging power factor in an R-L circuit.

Question 1 of 27070

Q

What does the power factor equal in an R-L circuit having a 30 degree phase angle between the voltage and the current?

A

1.73

B

0. 866

C

0.5

D

0.577

Question 1 / 27070manL2RgZkIhdakJnTPwm

Question 1 of 27070manL2RgZkIhdakJnTPwm

What does the power factor equal in an R-L circuit having a 30 degree phase angle between the voltage and the current?

Back

Question 1 of 27070

Q

What does the power factor equal in an R-L circuit having a 30 degree phase angle between the voltage and the current?

🔍 Key Concepts

• Power factor definition in AC circuits • Relationship between phase angle (φ) and power factor in an R-L (resistive–inductive) circuit • Basic trigonometric values for common angles like 30°

💭 Think About

• How is power factor mathematically related to the phase angle between voltage and current in an AC circuit? • For an inductive circuit with a known phase angle, which trigonometric function (sine, cosine, or tangent) represents the power factor? • Once you identify the correct trig function, what is its value at 30°, approximately?

✅ Before You Answer

• Confirm that power factor = cos(φ) for single-phase AC circuits where φ is the angle between voltage and current. • Check the approximate trig values for 30° (cos, sin, tan) before comparing with the answer choices. • Verify that the selected answer is a dimensionless number between 0 and 1 for a lagging power factor in an R-L circuit.