Magnetic flux ($\Phi_B$) is defined as the scalar product of the magnetic field ($\mathbf{B}$) and the area vector ($\mathbf{A}$), expressed as $\Phi_B = BA \cos \theta$ . Area has the dimensions $[L^2]$ . The dimensions for the magnetic field ($B$) can be derived from the Lorentz force formula, $F = qvB \sin \theta$, which gives $B = F/(qv)$ . Since Force ($F$) has dimensions $[MLT^{-2}]$ , charge ($q$) is $[AT]$ , and velocity ($v$) is $[LT^{-1}]$ , the dimensions for $B$ are $[MT^{-2}A^{-1}]$ . Consequently, the dimensional formula for magnetic flux is calculated by multiplying these: $[MT^{-2}A^{-1}] \times [L^2] = [ML^2T^{-2}A^{-1}]$ .