Answer to Question #152334 in Electricity and Magnetism for Max

Question

What iS lORenTz force.

Answer 1

The Lorentz force represents the combination of electric and magnetic forces on a point charge. If the point charge q has the velocity $\vec{v}$ , the electric field is $\vec{E}$ and magnetic field is $\vec{B}$, then the force due to electric field is $q\vec{E}$ and the force due to magnetic field is $q\vec{v}\times\vec{B}.$ So the electromagnetic force (in SI) on a pint charge is $q(\vec{E}+\vec{v}\times\vec{B})$.

If we consider the charge distribution, then the total force will be the volume integral

$\vec{F} = \iiint (\rho\vec{E} + \rho\vec{v}\times\vec{B})\,dV$, where $\rho$ is the charge density.