Science & engineering
LC resonance calculator
Calculate an ideal LC resonant frequency and the series-RLC quality factor.
A clear answer. Here’s how.
Resonant angular frequency ω₀=1/√(LC), f₀=ω₀/(2π). For the stated series loss R, Q=ω₀L/R and half-power bandwidth R/(2πL). These are ideal lumped series-RLC relationships; capacitor/inductor parasitics, loading and frequency-dependent losses are not inferred.
See a worked example
Worked example
A fixed demonstration, separate from the values you enter above.
- Inductance (mH)
- 10
- Capacitance (µF)
- 1
- Total series loss resistance (Ω)
- 10
Example result
- Resonant frequency
- 1,591.54943092 Hz
- Angular resonance
- 10,000 rad/s
- Resonant period
- 0.000628318530718 s
- Series quality factor Q
- 10
- Series half-power bandwidth
- 159.154943092 Hz