Pick a model and enter precise parameters today. Get frequency, omega, and quality estimates instantly. Designed for students, makers, and test bench work everywhere.
| Model | Example inputs | Expected resonant frequency |
|---|---|---|
| LC (ideal) | L = 10 mH, C = 100 nF | ≈ 159.15 Hz |
| Series RLC | L = 1 mH, C = 10 nF, R = 2 Ω | ≈ 50.33 kHz (ideal), slightly lower damped |
| Mass–spring | k = 1200 N/m, m = 0.8 kg | ≈ 6.16 Hz |
| Helmholtz | V = 1.5 L, L = 3 cm, d = 2.5 cm, T = 20°C | ≈ 140–170 Hz (depends on end correction) |
| Standing-wave | Quarter-wave, L = 0.5 m, VF = 0.66 | ≈ 98.93 MHz |
Resonance happens when a system naturally oscillates with maximum response at a specific frequency. At that point, energy transfers efficiently between storage elements, like inductors and capacitors, or mass and springs. Knowing the resonant frequency helps you predict vibration peaks, filter behavior, and stability margins across many engineering domains.
For an ideal LC tank, the resonant frequency depends only on inductance L and capacitance C. Small changes in either component shift the peak noticeably, especially at higher frequencies. This calculator converts common units and reports both frequency and angular frequency for quick design checks.
Real circuits include losses, modeled by resistance. In a series RLC, damping lowers the ringing and can slightly reduce the oscillation frequency compared with the ideal value. The calculator estimates the damped frequency when applicable and flags overdamped cases where sustained oscillation cannot form. Even modest ESR in capacitors can dominate at kHz to MHz ranges, so always verify datasheets carefully.
Quality factor Q describes how sharp the resonance peak is. Higher Q means narrower bandwidth and greater selectivity but slower settling. The calculator provides practical Q and an approximate bandwidth Δf so you can compare component choices, evaluate filtering targets, and anticipate sensitivity to tolerances and temperature drift.
A mass–spring system resonates when spring stiffness k and mass m exchange kinetic and potential energy. The model assumes small oscillations and negligible damping, which is common for first-pass sizing. Use it for shaker tests, isolation mounts, and estimating natural frequencies in prototypes.
Helmholtz resonance describes air oscillation in a cavity with a neck, like bottles, enclosures, and vents. The result depends on cavity volume, neck area, and effective neck length. The calculator includes a simple end correction so predictions better match practical geometries in workshops.
Transmission lines and antennas resonate when their length matches a fraction of the wavelength. Quarter-wave and half-wave modes are common, and the velocity factor adjusts for dielectric materials. Use the length or frequency mode to size elements and quickly sanity-check RF builds.
Use LC/RLC for electronic tanks, spring for vibration systems, Helmholtz for cavities with a neck, and standing-wave for lines or antennas. Pick the model that matches your energy storage elements.
Resistance adds damping. In a series RLC, the damped frequency is ωd = √(ω0² − (R/2L)²). If damping is strong, the system becomes overdamped and no oscillatory resonance occurs.
No. Choose units beside each input. The calculator converts to SI internally, then reports results in Hz and rad/s. For wave mode, frequency units can be Hz to GHz.
It is a good estimate for simple cavities and short necks. Real results depend on neck flares, wall thickness, leaks, and damping. Use it for sizing, then validate by measurement or simulation when precision matters.
Use the cable or dielectric velocity factor from the datasheet. Typical solid PE coax is around 0.66, foam is often 0.8–0.9, and air-spaced structures can approach 1.0.
Component tolerances, temperature, stray capacitance/inductance, mounting geometry, and loss all shift resonance. For high-Q designs, small parasitics can move the peak significantly. Measure with a sweep and update inputs to match.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.