LC Resonant Frequency
LC Resonant Frequency
An LC circuit oscillates at a natural frequency set by its inductance and capacitance — the heart of radio tuning and oscillators.
The resonant frequency is f = 1/(2π·√(L·C)). where L is the inductance and C the capacitance.
Inputs
L := 10 mH=0.01 H
C := 100 uF=1e-04 A^2·s^4/kg/m^2
Apply the LC resonance formula.
f := 1/(2·pi·sqrt(L·C))=159.15 Hz
Results
At this frequency the inductive and capacitive reactances cancel. Tuning either component shifts the resonance, which is how a radio selects a station.
Assumptions & limitations
- Ideal lossless L and C.
- No damping resistance.
- Linear components.