RLC Band-Pass Filter

Design from specification

Series RLC, output across R: ω₀ = 1/√(LC), Q = √(L/C)/R. Pick an approximation and cutoff; C is chosen (→ L ≈ 10 mH) and L, R are computed and rounded to the chosen E-series.

Approximation: Centre f₀ [Hz]: Damping ζ: C [F] (optional): R series: L series: C series:

Components (analyse / override)

R [Ω]: L [H]: C [F]:

Results

Components: R = — L = — C = —

Cutoff f₀ = — Hz Q = — ζ = — peak gain = —

Transfer function:
H(s) = —

Equivalent block diagram

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Poles

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Phase margin

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Oscillation (ringing) frequency

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Overshoot of the step response

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Final value of the step response

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