Power dissipated in an LCR series circuit connected to an AC source of emf ε is
ε2RR2+Lω−1Cω2
ε2R2+Lω−1Cω2R
Power dissipated in series LCR circuit,
P=Irms2R=εrms2R|Z|2=ε2RR2+ωL−1ωC2