An alternating current of frequency f is flowing in a circuit containing a resistance R and a choke Z in series. The impedance of this circuit is
R+2πfL
R2+4π2f2L2
R2+L2
R2+2πfL
Z=R2+XL2,XL=ωL and ω=2 πf
∴ Z=R2+4π2f2L2