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Magnetic flux density (\({\bf B}\), T or Wb/m\(^2\)) is a description of the magnetic field that can be defined as the solution to Equation \ref{m0005_eFqvB}. Figure \(\PageIndex{4}\): The magnetic field of a bar magnet, illustrating field lines.
Rearranging the equation for magnetic force on a wire, the magnetic flux density is defined by the equation: Where: B = magnetic flux density (T) F = magnetic force on a current-carrying wire (N) I = current (A) L = length of the wire (m) For reference, the Earth's magnetic flux density is around 0.032 mT and an ordinary fridge magnet is around ...
The definition of H is H = B/μ − M, where B is the magnetic flux density, a measure of the actual magnetic field within a material considered as a concentration of magnetic field lines, or flux, per unit cross-sectional area; μ is the magnetic permeability; and M is the magnetization.
Magnetic flux density is measured in units of tesla, which is defined as: A straight conductor carrying a current of 1A normal to a magnetic field of flux density of 1 T with force per unit length of the conductor of 1 N m-1.
The strength of the field of force, the magnetic field strength, or magnetizing force H, may be defined in terms of magnetic poles: one centimeter from a unit pole the field strength is one oersted.
If the magnetic field is constant, the magnetic flux passing through a surface of vector area S is = = , where B is the magnitude of the magnetic field (the magnetic flux density) having the unit of Wb/m 2 , S is the area of the surface, and θ is the angle between the magnetic field lines and the normal (perpendicular) to S.
The formula for the magnetic force is: F = B I L sin θ. F=BIL\sin\theta F = BI Lsinθ. Where F is the force, B is the magnetic field strength, L is the length of wire in the field and θ is the angle between the field lines and the wire.
