2/1/2024 0 Comments Equation for magnetic fluxWhere μ o is the permeability of free space and n is the number of turns per unit length of the solenoid. The diagram illustrates the flux density Bin a solenoid with n turns and coil current I. Unfortunatel a full derivation of this equation cannot be given at present.įlux density for an infinitely long solenoid Where μ o is the permeability of free space. The magnetic flux density Bis described by the equation : The diagram below illustrates the flux density B at a point P a distance aaway from the wire. The field around a solenoid resembles the field around a long bar magnet. The field around a plane circular coil resembles the field around a short bar magnet. The direction of the lines of force is clockwise in the direction of the current direction. The field is non-uniform, with lines tightly packed close to the wire and widely spaced away from it. The magnetic field around a current-carrying wire is a series of concentric field lines. Magnetic fields around current-carrying conductors So the total normal flux over an area A at an angle θ to the field is given by : The unit of flux is the Weber ( Wb) and the unit of flux density is the Tesla ( T).Ī flux density of 1 Tesla is 1 Weber per square metre.įor an area A at an angle θ to the magnetic field, normal flux density has magnitude Bcosθ. Total magnetic flux = flux density x area This introduces a new concept - magnetic flux density B. We can refine the idea of flux by making the area unity (1m 2). The diagram below shows how the magnetic flux φ over an area A varies around the pole of a magnet. Fast revision: Magnetic field lines follow the direction of a free moving North Pole.īy definition, magnetic flux is a measure of the strength of a magnetic field over a given area perpendicular to it.
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