The force on a current-carrying wire will be greatest when the field and the current are perpendicular, i.e. sinθ=1, but when they are not perpendicular; θ, the angle between the direction of field and the current are used in the equation.
The force on individual charged particles can be calculated using the equation: F=Bqv sinθ, where v is the velocity of the moving particle and q is its charge.
The direction of the force on a charged particle can be determined using Flemings left-hand Rule, in the same way as the force on a current carrying wire.