The dimension of the magnetic field intensity B is

$F=qVB\sin { \theta }$

$\left[ F \right] =\left[ ML{ T }^{ -2 } \right]$

$\left[ V \right] =\left[ L{ T }^{ -1 } \right]$

$\left[ q \right] =\left[ AT \right]$

$\sin \theta =$ dimensionless

$\left[ B \right] =\cfrac { \left[ F \right] }{ \left[ q \right] \left[ V \right] }$

$=\cfrac { \left[ ML{ T }^{ -2 } \right] }{ \left[ AT \right] \left[ L{ T }^{ -1 } \right] }$

$=\left[ M{ L }^{ 0 }{ T }^{ -2 }{ A }^{ -1 } \right]$

$\left[ B \right] =\left[ M{ T }^{ -2 }{ A }^{ -1 } \right]$