Question

What is Magnetic Flux?

Answer 1

Magnetic flux is a type of measurement where the description of certain materials relate to their magnetic fields. It describes the strength as well as the extent of an object's interaction within the field.
Magnetic flux is the area in which magnetic lines of force exists. Magnetic field creates lines of force starting at N pole and terminating at S pole.
denoted as Φm

Answer 2

Flux means the amount of something flowing through a surface. Magnetic flux, \[\phi_m,\] is the amount of magnetic field flowing through a surface. More precisely, if the magnetic field is denoted by \[\vec{B}\] and we have an infitesimal surface with area \[dA\] and unit normal \[\hat{n}\] then the magnetic flux through that infinitesimal surface is
\[d\phi_m = \vec{B}\cdot\hat{n}\,dA.\]



For a non-infitesimal (finite) surface, which I will denote by \[\Sigma,\] one simply integrates integrates the flux over the infinitesimal surface elements that create the surface to get the flux through the whole surface, so \[\phi_m = \int_\Sigma \vec{B}\cdot \hat{n} \, dA .\]