A series resonant circuit has L = 0.50 H, R = 10 Ω and quality factor Q = 50. Determine the capacitance C.
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Question

A series resonant circuit has L = 0.50 H, R = 10 Ω and quality factor Q = 50. Determine the capacitance C.

G1 Physics · Accepted Answer

Using Q = ω₀L/R, ω₀ = QR/L = 50×10/0.50 = 1000 rad/s. Then C = 1/(ω₀²L) = 1/(10⁶×0.50) = 2×10⁻⁶ F = 2 μF.