RLC resonance and damping
Series or parallel RLC natural resonance, characteristic impedance, Q and damping.
Development preview. Check the assumptions below before relying on a result. Calculations run in your browser.
How it calculates
Model: ω0=1/√LC; Z0=√(L/C); Qseries=Z0/R; Qparallel=R/Z0; ζ=1/(2Q)
Assumptions
- R is the sole loss element in the selected ideal topology. Resonance, damped natural frequency and a measured voltage peak are distinct.
Worked example
These are the calculator's default inputs. Change any input above to recalculate.
Inputs
- Topology
- series
- Inductance
- 0.001 H
- Capacitance
- 0.000001 F
- Series / parallel resistance
- 10 Ω
Results
- Undamped resonance
- 5032.92 Hz
- Quality factor
- 3.16228
- Characteristic impedance
- 31.6228 Ω
- Half-power bandwidth
- 1591.55 Hz
- Damping ratio
- 0.158114
- Damped natural frequency
- 4969.61 Hz