For an LCR circuit driven at frequency ω, the equation reads L di/dt + Ri + q/C = vi = vm sin ꞷ t
(i) Multiply the equation by i and simplify where possible.
(ii) Interpret each term physically.

Given equation is,

i) On multiplying the above equation with I, we get,

ii) is representing the rate of change of potential energy in inductance

is representing the energy stored in dt time in the capacitor

is representing the joules heating loss

is the rate of driving force