Question

Write the expression for the Lorentz force $F$ in vector form.

Answer 1

When a particle having charge $+q$, moves with a velocity $v$, perpendicular to the direction of magnetic field $\overrightarrow{B}$, Lorentz force is given by
$f=qvB$
Direction of Lorentz force can be calculated on the basis of Fleming's left hand rule. If charged particle is moving in a magnetic field making an angle $\theta$, force
$F=qvB\sin \theta$
$\overrightarrow{F}=q(\overrightarrow{v}\times \overrightarrow{B})$