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Magnetic Flux Density Converter

Convert magnetic flux density between Tesla, milliTesla, microTesla, Gauss, and nanoTesla for sensor and motor applications.

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Formula

1 T = 10⁴ G = 10³ mT = 10⁶ μT

How It Works

Magnetic flux density (B-field) is measured in Tesla (T), the SI unit. One Tesla equals 10,000 Gauss (the CGS unit). In practice: Earth's field is about 50 μT, Hall-effect sensors operate in the mT range, permanent magnets produce 0.1–1 T, and MRI scanners use 1.5–7 T. The nanotesla (nT) is used in geomagnetic and magnetometer measurements.

Worked Example

A neodymium magnet surface field of 0.5 T: 0.5 T = 500 mT = 500,000 μT = 5,000 Gauss = 500,000,000 nT. Earth's magnetic field of 50 μT: 50 μT = 0.05 mT = 0.00005 T = 0.5 Gauss = 50,000 nT.

Practical Tips

  • Most Hall-effect sensors (AH49, A1302, etc.) have a linear range of ±0.1 T (±1000 Gauss) and sensitivity of ~1–5 mV/Gauss.
  • For motor position sensing, the magnet field at the sensor face should be 30–100 mT for reliable operation — too weak causes noise, too strong causes saturation.
  • Magnetometers in smartphones and compasses sense Earth's ~50 μT field. Keep them away from motors, speakers, and power cables that generate fields in the mT range.

Common Mistakes

  • Confusing Tesla (flux density, T) with Weber (total flux, Wb) — they are different quantities; 1 T = 1 Wb/m².
  • Gauss and Tesla are related by 1 T = 10,000 G; forgetting this factor leads to 10,000× errors when switching between CGS and SI units.
  • Hall-effect sensor datasheets may specify sensitivity in mV/Gauss or mV/mT; always check the unit before calculating output voltage.

Frequently Asked Questions

B is the flux density in Tesla and includes the effect of the material. H is the driving field in A/m. They are related by B = μ₀μᵣH where μ₀ = 4π × 10⁻⁷ H/m and μᵣ is the relative permeability.
Gauss remains common in permanent magnet and motor industry datasheets because many legacy tools and references use CGS units. 1 T = 10,000 G — easy to remember when switching.
Most consumer electronics are sensitive to fields above ~1–10 mT (10–100 Gauss). Hard drives and magnetic-stripe cards can be affected above a few mT. Erase fields are typically 50–100 mT.
Earth's field is ~50 μT. A small DC motor can generate 1–100 mT at its surface. This is why motor proximity can disturb compasses and magnetometer-based heading systems.

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