For an LCR circuit driven at frequency ω, the equation reads L di/dt + Ri + q/C = vi = vm sin ꞷ t
(i) Cast the equation in the form of a conservation of energy statement
(ii) Integrate the equation over one cycle to find that the phase difference between v and i must be acute.
For an LCR circuit driven at frequency ω, the equation reads L di/dt + Ri + q/C = vi = vm sin ꞷ t
(i) Cast the equation in the form of a conservation of energy statement
(ii) Integrate the equation over one cycle to find that the phase difference between v and i must be acute.

i) The first equation is in the form of conservation of energy

ii) We get dt as positive when we integrate the equation from 0 to T, which is possible when the phase difference is constant and the angle created is acute.