In the circuit shown in the figure, the ratio of the quality factor and the band width i s ______ s.

Question

G1 Physics · Accepted Answer

For a series LCR circuit, Δω = R/L and Q = ω₀L/R. Hence Q/Δω = ω₀L²/R². From the given circuit, L = 3.0 H, C = 27 μF and R = 10 Ω. Using ω₀ = 1/√(LC) = 1/(9×10⁻³), Q/Δω = 10 s.