Magnetic Flux - Yousef's Notes

Analogously to the electric flux, the magnetic flux is a measure of how much magnetic field crosses a certain surface. $$ \Phi_{B}=\int \vec{B} \cdot d \vec{A}=\int B \cos \phi d A $$

where $\phi$ is the angle between the magnetic field and the normal vector $\hat n$. The quantity $B\cos\phi$ is the perpendicular component of the electric field with respect to the surface.

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The SI unit of magnetic flux is the weber (Wb) in honor of the German physicist Wilhelm Weber (1804–1891), $\mathrm{I} \mathrm{Wb}=1 \mathrm{T} \cdot \mathrm{m}^{2}$
Geometrically, it quantifies how many magnetic field lines are crossing the surface.