The emf of an LCR circuit is ε. The impedance of a series LCR circuit is given as, Z=[R2+(ωL−ωC1)2] The power factor in a series LCR circuit is given as, cosϕ=∣Z∣R The power dissipated in the circuit is given as, P=VrmsIrmscosϕ=ε×∣Z∣ε×∣Z∣R=[R2+(ωL−ωC1)2]ε2R Thus, the power dissipated in the series LCR circuit is [R2+(ωL−ωC1)2]ε2R.