Calculator · Electrical Engineering
RLC Resonant Frequency Calculator
An inductor and capacitor exchange energy at one natural frequency, where their reactances are equal. Resistance does not move the series resonant frequency; it sets how sharp the resonance is (Q).
Inputs
Results
Resonant frequency f0
50.3292 Hz
Angular frequency ω0
316.228 rad/s
Quality factor Q
—
Q needs a series resistance R; none is assumed.
Explore in the Lab
Explore this resonance in the AC & RLC Lab
Carries L and C; the Lab asks for R.
Technical reference
f0 = 1/(2π·√(L·C)), ω0 = 2π·f0 = 1/√(L·C)
Q = (1/R)·√(L/C) = ω0·L/R (series)
- L
- inductance (> 0)[H]
- C
- capacitance (> 0)[F]
- R
- series resistance (optional, > 0)[Ω]
Reference: L = 0.1 H, C = 100 µF → f0 ≈ 50.3292 Hz.
Higher Q means a narrower, taller current peak around f0.