What is magnetic flux density? Define its units and give its dimensions.

Explanation

Magnetic flux density at a point in a magnetic field means magnetic field induction at that point. It is defined as the force experienced by a unit charge while moving with a unit velocity, perpendicular to the direction of magnetic field at that point. Force experienced by the charged particle having charge q moving with velocity `vecv` through a magnetic field `vecB` is given by
`|vecF|=q|vecvxxvecB|=qvBsintheta`
or `B = (F)/(q vsin theta)`
The SI unit of B is tesla, where 1 tesla is the magnetic flux density at a point if 1 coloumb charge while moving with a velocity of `1 ms^(-1)`, perpendicular to a magnetic field experieces a force of 1N at that point.
The diemensional formula of B
`= ([MLT^(-2)])/([AT][LT^(-1)]) = [ML^(@) T^(-2) A^(-1)]`