Question

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

विकल्प

• R/ωL

• R/(R² + ω²L²)^1/2

• ωL/R

• R/(R² - ω²L²)^1/2

Answer 1

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)`