Science & Engineering

RLC Resonance Calculator

Explore the characteristic frequency of a series RLC circuit from resistance, inductance and capacitance.

Resonant frequency1,591.55 Hz
Angular frequency10,000 rad/s
Series Q factor10
Approx bandwidth159.15 Hz

How this tool works

f₀ = 1/(2π√LC). For a series RLC circuit, Q = ω₀L/R and approximate 3-dB bandwidth = f₀/Q.

Example

L=10 mH and C=1 µF resonate near 1591.5 Hz; resistance determines how sharp that resonance is.

Common questions

Does this model component parasitics?

No. ESR, inductor winding resistance, stray capacitance and frequency-dependent losses can materially change real circuits.

Is the formula for series or parallel RLC?

The displayed Q and bandwidth relationships are for the simple series RLC model.