RLC Circuit Calculator

Calculate f₀, Q, ζ, and bandwidth for series RLC

How to Use This Calculator

1

Enter R, L, C

Provide resistance (Ω), inductance in mH, and capacitance in nF.

2

Calculate

Click Calculate to get resonance, damping, Q, and bandwidth.

3

Interpret Results

Higher Q = narrower bandwidth; ζ < 1 is underdamped (resonant peak).

Formula

ω₀ = 1 / √(LC), f₀ = ω₀ / (2π)

ζ = R/2 × √(C/L), Q = 1/(2ζ), BW ≈ f₀/Q

Series RLC relationships are shown; parallel forms differ in Q definition but share f₀.

About RLC Circuits

RLC networks are used for filtering, tuning, and transient shaping. Resistance damps oscillations and sets selectivity through Q and bandwidth.

Frequently Asked Questions

Is this series or parallel RLC?

Calculations use the series RLC model for ζ, Q, and BW; f₀ applies to both.

How accurate is BW ≈ f₀/Q?

It is a common approximation for lightly damped systems (high Q). For low Q, use full transfer-function analysis.