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LC Resonance Frequency Calculator

Compute the LC resonant frequency f = 1/(2π√LC).

Input Data

Inductance H
H
Capacitance F
F

Results

f = 1/(2π√LC).
159.1549430919Hz
ω = 1/√LC.
1,000rad/s
T = 1/f.
0.0062831853s
X_L = X_C at resonance.
1,000Ω

At a glance:f = 1/(2π√LC); ω = 1/√(LC). Complements lc-resonance and capacitive-reactance.

Formula

f = 1 / (2π·√(L·C)).

$$f = \frac{1}{2\pi\sqrt{LC}}, \quad \omega = \frac{1}{\sqrt{LC}}, \quad Z = \sqrt{\frac{L}{C}}$$

How to Use

  1. Enter L and C.
  2. The tool returns frequency, period and reactance.

Case Studies

L=1e-3, C=1e-6

f ≈ 5.03 kHz.

FAQ

At resonance?

X_L = X_C, so the LC impedance cancels (ideal).

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 Frequency Calculator(/physics/lc-frequency)。