# Magnetic flux density:Definition,unit,formula and applications

## Magnetic Flux definition

The group of force lines going from the north pole to the south pole of a magnet is called the **magnetic flux,** symbolized by Φ (the Greek letter phi). The number of lines of force in a magnetic field determines the value of the flux. The more lines of force, the greater the flux and the stronger the magnetic field.

The unit of magnetic flux in the Weber **(Wb)**. One whole equal 10^{8} lines. The Weber is a very large unit; thus, in most practical situations, the microweber (μWb) is used. One microweber equals 100 lines of magnetic flux.

## Magnetic Flux Density formula

The **magnetic flux density **is the amount of flux per unit area perpendicular to the magnetic field. Its symbol is B, and its SI unit is the **Tesla (T).** One tesla equals one weber per square meter (WB/m^{2}). The following formula expresses the flux density:

Where Φ is the flux and A is the cross-sectional area in square meters (m^{2}) of the magnetic field.

## The Gauss

Although the Tesla (T) is the SI unit for the unit for flux density, another unit is called the** gauss,** from the CGS (centimeter-gram-second) system, is sometimes used (10^{4} gauss = 1 T). In fact, the instrument used to measure flux density is the gaussmeter.

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