In a series LCR circuit, operated with an ac of angular frequency ω , the total impedance is
[R2+(Lω−Cω)2]1/2
R2+Lω−1Cω21/2
R2+Lω−1Cω2−1/2
(Rω)2+Lω−1Cω21/2
Impedance in a series LCR circuit is given by Z=R2+(XL-XC)2