English

The power factor of an AC circuit having resistance (R ) and inductance (L) connected in series and an angular ω is ______.

Advertisements
Advertisements

Question

The power factor of an AC circuit having resistance (R ) and inductance (L) connected in series and an angular ω is ______.

Options

  • R/ωL

  • R/(R2 + ω2L2)1/2

  • ωL/R

  • R/(R2 - ω2L2)1/2

MCQ
Fill in the Blanks
Advertisements

Solution

The power factor of an AC circuit having resistance (R ) and inductance (L) connected in series and an angular ω is R/(R2 + ω2L2)1/2.

Explanation:

Net impedance of circuit Z = `sqrt("X"_"L"^2 + "R"^2)`

Power factor, cos `phi = "R"/"Z"`

⇒ cos `phi = "R"/sqrt("R"^2+omega^2"L"^2)`

shaalaa.com
Quality and Power Factor
  Is there an error in this question or solution?
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×