Calculatorism

LC Resonance Calculator

Compute LC resonant frequency and characteristic impedance in multiple units.

Input Data

Inductance H
H
Capacitance F
F

Results

f = 1/(2π√LC).
5,032.92121Hz
In kHz.
5.03292121kHz
In MHz.
0.0050329212MHz
ω = 1/√LC.
31,622.776602rad/s
Z₀ = √(L/C).
31.622777Ω
T = 1/f.
0.0001986918s

At a glance:f = 1/(2π√LC); Z₀ = √(L/C). Complements lc-frequency and lc-oscillation.

Formula

f = 1/(2π√LC).

$$f_0 = \frac{1}{2\pi\sqrt{LC}}, \quad \omega_0 = \frac{1}{\sqrt{LC}}$$
$$Z_0 = \sqrt{\frac{L}{C}}$$

How to Use

  1. Enter L and C.
  2. The tool returns frequency (multi-units) and Z₀.

Case Studies

L=1e-6, C=1e-9

f ≈ 5.03 MHz.

FAQ

Tuning?

Vary L or C to set the resonance of a radio tank.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:LC Resonance Calculator(/physics/lc-resonance)。