Solution (source code)

= Solution

For the magnetic part of the <Lorentz force>, $\mathbf F=q\,\mathbf v\times\mathbf B$. Since <velocity> has <physical dimension> $LT^{-1}$, the <magnetic field> has dimension
$$
\boxed{[\mathbf B]=\frac{[F]}{Q\,LT^{-1}}=MT^{-1}Q^{-1}}.
$$