An alternating voltage e= 200 sin 100 t is applied to a series combination `R=30Omega` and an inductor of 400 mH . The power factor of the circuit is

Options

A. a)0.01
B. b)0.2
C. c)0.05
D. d)`0.6`

Explanation

Power factor `cosphi=(R)/(sqrt(R^(2)+omega^(2)L^(2)))`
`=(30)/(sqrt((30)^(2)+(100)^(2)xx(400xx10^(-3))^(2)))`
`=(30)/(sqrt(900+1600))=(30)/(50)=0.6`