 Magnetic flux

The magnetic flux through an oriented surface $S$ is ${\Phi }_B={\int }_{S}B\cdot dS$.

Magnetic flux is a measure of the quantity of magnetic field lines passing through a given surface area. It is a key concept in electromagnetism and is denoted by the Greek letter Φ (phi). Mathematically, magnetic flux (Φ) through a surface is defined by the equation: \[ \Phi_B = \int \mathbf{B} \cdot d\mathbf{A} \] where: - \(\Phi_B\) is the magnetic flux.