Magnetic flux area S is where "B" is the magnitude of the magnetic field (the magnetic flux density) having the unit of Wb/m (tesla), "S" is the area of the surface, and "θ" is the angle between the magnetic field lines and the normal (perpendicular) to S. For a varying magnetic field, we first consider the magnetic flux through an infinitesimal area element dS, where we may consider the field to be constant: A generic surface, S, can then be broken into infinitesimal elements and the total magnetic flux through the surface is then the surface integral From the definition of the
Magnetic flux quantum in the superconducting phase. The magnetic field lines pass along this normal core through the whole sample. The screening currents circulate in the -vicinity of the core and screen the rest of the superconductor from the magnetic field in the core. In total, each such Abrikosov vortex carries one quantum of magnetic flux . Although theoretically, it is possible to have more than one flux quantum per hole, the Abrikosov vortices with are unstable and split into several vortices with . In a real hole the states with are stable as the real hole cannot split itself into several smaller