The power factor of an AC circuit having resistance (R) and inductance (L) connected in series and an angular velocity `omega` is

Options

A. `R//omega L`
B. `R//(R^(2)+omega^(2)L^(2))^(1//2)`
C. `omega L//R`
D. `R//(R^(2)-omega^(2)L^(2))^(1//2)`

Answer

B

Explanation

(b) The impedance triangle for resistance (R) and inductor (L)connected in series is shown in the figure.

Power factor `cos(phi)=(R)(sqrt(R^(2)+omega^(2)L^(2)))`.