Magnetic Flux Density Converter
Convert magnetic flux density (the B field) between tesla, gauss, gamma, weber per square meter, maxwell per square centimeter and other units. Pick a source and a target unit, enter a value and read the result instantly.
Select two units to see the conversion factor.
Flux density B (tesla, gauss) is not field strength H (A/m, oersted) or total flux Φ (weber, maxwell). This tool never converts between them.
Magnetic Flux Density Formula
Every flux density unit is a fixed multiple of one reference unit, the tesla (T = Wb/m²). To convert, multiply the value by the size of the source unit in tesla, then divide by the size of the target unit in tesla. Key exact relationships: 1 G = 1 Mx/cm² = 10⁻⁴ T, 1 γ = 1 nT = 10⁻⁹ T, 1 Mx = 10⁻⁸ Wb and 1 in = 0.0254 m.
What Is Magnetic Flux Density?
Magnetic flux density, written B and also called magnetic induction, measures how strong a magnetic field is at a point. It is the magnetic flux passing through a unit area at right angles to the field: B = Φ ÷ A. The SI unit is the tesla (T), which equals one weber per square meter (Wb/m²). It also determines the force on a moving charge, F = qvB.
The CGS unit is the gauss (G), equal to one maxwell per square centimeter and to exactly 10⁻⁴ T, so 1 T = 10,000 G. The gamma (γ) is one nanotesla (10⁻⁹ T) and is used in geophysics and magnetometer surveys. Engineering data may also use maxwell or lines per square inch, a mixed unit from older practice.
Some familiar orders of magnitude: the Earth’s surface field is roughly 25 to 65 µT (0.25 to 0.65 G), a small refrigerator magnet is on the order of a few millitesla, and clinical MRI scanners typically operate at 1.5 T or 3 T.
B is different from H. Magnetic field strength H (A/m, oersted) describes the magnetizing field produced by currents, and in a material B = μ × H, so the same H gives different B in different materials. It is also different from total flux Φ (weber, maxwell), which is B multiplied by the area. This converter only changes between flux density units.
Supported Units
This converter supports the following 11 magnetic flux density units. The last column shows how many tesla one unit equals. The gauss, the maxwell per square centimeter and the line per square centimeter are the same quantity, 10⁻⁴ T, and the weber per square meter is exactly the tesla.
| Unit | Symbol | Value in T |
|---|---|---|
| Tesla | T | 1 |
| Weber per square meter | Wb/m² | 1 |
| Weber per square centimeter | Wb/cm² | 10,000 |
| Weber per square inch | Wb/in² | 1,550.0031 |
| Maxwell per square meter | Mx/m² | 1e-8 |
| Maxwell per square centimeter | Mx/cm² | 1e-4 |
| Maxwell per square inch | Mx/in² | 1.5500031e-5 |
| Gauss | G | 0.0001 |
| Line per square centimeter | line/cm² | 1e-4 |
| Line per square inch | line/in² | 1.5500031e-5 |
| Gamma | γ | 1e-9 |
How to Use the Magnetic Flux Density Converter
- Type the magnetic flux density in the value box. Decimals and scientific notation such as 0.0025 or 2.5e-3 are accepted.
- Choose the From unit and the To unit.
- The result appears instantly, or press Convert Now. Very large or very small results are shown in scientific notation.
- Use Swap Units to reverse the conversion, Copy Result to copy the answer, open Show this value in all units for a full list, and Clear to start again.
Step-by-step by hand
- Find the size of each unit in the common base unit (T): 1 G = 0.0001 T and 1 T = 1 T.
- Divide the source size by the target size to get the conversion factor: 0.0001 ÷ 1 = 0.0001, so 1 G = 0.0001 T.
- Multiply by your value: 10,000 G × 0.0001 = 1 T.
Flux density cannot be negative in this tool, so only zero and positive numbers are accepted; the sign of B only gives its direction.
Common Flux Density Conversions
- Gauss to tesla: 10,000 G equals 1 T.
- Tesla to gauss: 1.5 T (a typical clinical MRI field) equals 15,000 G.
- Earth’s field: 0.5 G equals 50,000 γ, which is 5e-5 T (50 µT).
- Magnetometer survey: 48,000 γ equals 0.48 G.
- Maxwell per square centimeter: 2,000 Mx/cm² equals 0.2 T.
- Old engineering units: 64,000 lines/in² equals 0.992001984 T.
- Maxwell per square meter: 1 Mx/m² equals 1e-8 T.
Gauss to Tesla – Common Values
Quick reference for frequently used values
| Gauss | Tesla | Gamma | Maxwell/in² |
|---|---|---|---|
| 0.5 | 5e-5 | 50,000 | 3.2258 |
| 1 | 0.0001 | 100,000 | 6.4516 |
| 10 | 0.001 | 1,000,000 | 64.516 |
| 100 | 0.01 | 10,000,000 | 645.16 |
| 1,000 | 0.1 | 100,000,000 | 6,451.6 |
| 5,000 | 0.5 | 500,000,000 | 32,258 |
| 10,000 | 1 | 1,000,000,000 | 64,516 |
| 15,000 | 1.5 | 1,500,000,000 | 96,774 |
| 30,000 | 3 | 3,000,000,000 | 193,548 |
Where and Why This Conversion Is Used
- Magnets and magnetic materials: remanence and saturation values appear in tesla, gauss or kilogauss on different data sheets.
- Medical imaging: MRI fields are specified in tesla.
- Geophysics and navigation: magnetometers report nanotesla or gamma, and compass work uses gauss or microtesla.
- Electronics and sensors: Hall-effect and magnetic sensors are specified in mT or gauss.
- Motor and transformer design: core flux density limits are given in tesla or in older lines per square inch.
Important Differences Between Related Magnetic Quantities
- Magnetomotive force, F (ampere-turn, gilbert): the “driving force” of a magnetic circuit, F = N × I.
- Magnetic field strength, H (A/m, oersted): magnetomotive force per unit length of the magnetic path.
- Magnetic flux density, B (tesla, gauss): how strong the resulting magnetic field is, and the flux per unit area. In a material B = μ × H.
- Magnetic flux, Φ (weber, maxwell): the total magnetic field passing through an area, Φ = B × A.
These four quantities have different dimensions, so none of them can be converted into another by a unit factor. Moving between them needs extra information such as a length, an area or the permeability of the material. Each converter here only changes units within one quantity. See the Magnetomotive Force Converter, Magnetic Field Strength Converter, Magnetic Flux Converter and Magnetic Flux Density Converter.