31. Alternating Current

Determine a formula for the average power $\bar{P}$ dissipated in an LRC circuit in terms of L, R, C, ω and V₀.

(III) Determine a formula for the average power $\bar{P}$ dissipated in an LRC circuit in terms of L, R, C, ω and V₀. Find an approximate formula for the width of the resonance peak in average power, Δω, which is the difference in the two (angular) frequencies where $\bar{P}$ has half its maximum value. Assume a sharp peak.