# magnetic flux density

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Related to magnetic flux density: magnetic field strength, magnetic field intensity

## magnetic flux density

(magnetic induction) Symbol:*B.*A vector quantity that is a measure of the strength of a magnetic field in a particular direction at a particular point. It may be given in terms of the force,

*F*, on a charge,

*q*, moving in the magnetic field:

*B*=

*F*/(

*qv*sinθ)

*v*is the velocity of the charge, which is moving at an angle θ to the direction of the field. Magnetic flux density is usually measured in teslas. The

*magnetic flux*, symbol: Φ, is the surface integral of

*B*, i.e.

Φ =

where α is the angle between *B*.d*A*=*B*cosα d*A**B*and a line perpendicular to the surface. The magnetic flux density is thus the magnetic flux passing perpendicularly through unit area. Magnetic flux is measured in webers.

## magnetic flux density

[mag′ned·ik ′fləks ‚den·səd·ē] (electromagnetism)

A vector quantity that is used as a quantitative measure of magnetic field; the force on a charged particle moving in the field is equal to the particle's charge times the cross product of the particle's velocity with the magnetic flux density (SI units). Also known as magnetic displacement; magnetic induction; magnetic vector.

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