Figure shows a plot of average power P av versus generator frequency for an RLC circuit

Figure shows a plot of average power P_av versus generator frequency ω for an RLC circuit with a generator. The average power P_av is given by Equation 31-58. The "full width at half-maximum" ∆ω is the width of the resonance curve between the two points where P_av is one-half its maximum value. Show that, for a sharply peaked resonance, ∆ω ≈ R/L and, hence, that Q ≈ ω₀/∆ω in this case (Equation 31-60).

Transcribed Image Text:

Pav Small R, large Q Δω Large R, small Q Ao- fo Δω Δ/ 31-60 E2 Ro? rms" Pay 31-58 2 (m? – 03)? +o² R? av