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

Question 1 of 27070zpL5kaNZ9eYIJU1jHV3r

What does the power factor equal in an R-L circuit having a 45 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 45 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 trig values for cosine of common angles (0°, 30°, 45°, 60°)

💭 Think About

• In an R-L circuit, is the current leading or lagging the voltage, and how does that affect the sign or type (lagging/leading) of the power factor? • What simple trigonometric function of the phase angle gives you the power factor in an AC circuit? • If the phase angle is 45°, what is the cosine of that angle, and which of the given options is closest to that value?

✅ Before You Answer

• Remember that power factor = cos(ϕ), where ϕ is the phase angle between voltage and current • Confirm that you are using 45°, not radians, when recalling trig values • Compare your cosine result to each choice and check which one matches numerically (ignore the word spacing/typo in D)