mH Audio Calculator
Use this tool for speaker crossover design, inductive reactance checks, and LC resonance estimates.
1) Inductor Size (mH) for 1st-Order Low-Pass
Formula: L = R / (2πf). Enter speaker impedance and target crossover frequency.
2) Crossover Frequency from Inductor Value
Formula: f = R / (2πL). Enter known inductor and speaker impedance.
3) Inductive Reactance (XL)
Formula: XL = 2πfL. Useful for seeing how strongly a coil opposes current at a given frequency.
4) LC Resonant Frequency
Formula: f₀ = 1 / (2π√(LC)). L in mH, C in µF.
Why an mH calculator matters in audio work
In speaker and crossover design, tiny component changes can create audible differences. One of the most common values you will handle is inductor size in millihenries (mH). If the inductor is too small, too much high-frequency content leaks into your woofer. If it is too large, the woofer rolls off too early and your system can sound dull or disconnected around the crossover point.
This mh audio calculator gives fast answers for four practical jobs: choosing an inductor, checking a crossover frequency from a known coil, finding reactance at a specific frequency, and estimating LC resonance. It is designed to be quick, clear, and useful for hobbyists and professionals.
Quick refresher: what mH means
An inductor stores energy in a magnetic field. Its value is measured in henries (H). Since audio crossover coils are usually small, we use millihenries:
- 1 H = 1000 mH
- 0.50 mH = 0.00050 H
- 2.2 mH = 0.0022 H
As frequency rises, an inductor’s opposition to AC current rises too. That is why inductors are perfect for low-pass sections: they naturally reduce higher frequencies.
Core formulas used in this calculator
1) First-order low-pass inductor value
For a simple RL low-pass approximation: L = R / (2πf), where:
- L = inductance in henries
- R = load impedance in ohms
- f = crossover frequency in hertz
2) Frequency from known inductor
Rearranging gives: f = R / (2πL). This is useful when you have a parts bin and want to know where a coil will cross.
3) Inductive reactance
XL = 2πfL. This tells you how many ohms of opposition an inductor has at a specific frequency.
4) LC resonance
f₀ = 1 / (2π√(LC)). This is common when tuning filters or understanding behavior around tank circuits and passive networks.
Worked example
Suppose you want a first-order low-pass around 2,500 Hz on an 8 Ω woofer. The ideal inductor is:
L = 8 / (2π × 2500) = 0.000509 H = 0.509 mH
In real-world parts, you might choose a standard 0.50 mH or 0.56 mH coil, then fine-tune by listening and measuring.
Real-world notes that affect sound
DCR (DC resistance)
Real inductors are not ideal. Wire resistance (DCR) can reduce woofer level slightly and shift behavior. Lower DCR usually preserves efficiency and damping better.
Core type
- Air core: linear, low distortion, often larger and higher DCR for same mH.
- Iron/ferrite core: smaller and lower DCR, but possible saturation at high power.
Tolerance
Component tolerance matters. A ±5% inductor can move crossover behavior enough to matter in sensitive designs. If you are chasing precision, measure components and pair channels carefully.
Best practices for using this calculator
- Use realistic impedance values (actual driver impedance curve is better than nominal when available).
- Treat results as a starting point for measurement and listening tests.
- Use the reactance tool to understand what your coil is doing at key frequencies.
- If you are building a full crossover, simulate with proper software before finalizing parts.
Final thoughts
This mh audio calculator helps you move from guesswork to fast, practical estimates. Whether you are designing a passive speaker crossover, experimenting with filter sections, or double-checking parts before ordering, these calculations save time and help you make better decisions.
For serious builds, combine this calculator with measurement tools (impedance jig, microphone, and crossover simulation). The numbers get you close. Good measurements and careful listening get you all the way there.