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This is a derivation of the magnetic flux density around a solenoid that is long enough so that fringe effects can be ignored. In Figure 1, we immediately know that the flux density vector points in the positive z direction inside the solenoid, and in the negative z direction outside the solenoid.
It is the property of certain substances or phenomena that give rise to magnetic fields: =, where Φ is the magnetic flux and is the reluctance of the circuit. It can be seen that the magnetomotive force plays a role in this equation analogous to the voltage V in Ohm's law , V = IR , since it is the cause of magnetic flux in a magnetic circuit ...
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.
In electromagnetics, the term magnetic field is used for two distinct but closely related vector fields denoted by the symbols B and H. In the International System of Units, the unit of B, magnetic flux density, is the tesla (in SI base units: kilogram per second squared per ampere), [5]: 21 which is equivalent to newton per meter
Aharonov–Bohm effect apparatus showing barrier, X; slots S 1 and S 2; electron paths e 1 and e 2; magnetic whisker, W; screen, P; interference pattern, I; magnetic flux density, B (pointing out of figure); and magnetic vector potential, A. B is essentially nil outside the whisker. In some experiments, the whisker is replaced by a solenoid.
B 0 is the flux density very close to each pole, in T, A is the area of each pole, in m 2, L is the length of each magnet, in m, R is the radius of each magnet, in m, and; x is the separation between the two magnets, in m = relates the flux density at the pole to the magnetization of the magnet.
Magnetic field lines around a "magnetostatic dipole". The magnetic dipole itself is located in the center of the figure, seen from the side, and pointing upward. Any system possessing a net magnetic dipole moment m will produce a dipolar magnetic field (described below) in the space surrounding the system.
In engineering, a solenoid is a device that converts electrical energy to mechanical energy, using an electromagnet formed from a coil of wire. The device creates a magnetic field [1] from electric current, and uses the magnetic field to create linear motion. [2] [3] [4]