Lorentz force

Mobile charge and Magnetic Field
Moving charge enters magnetic field ehibit the following behavior below


 * Lorentz_force.svg

For positive electric charge
 * $$F = q v B$$

For negtive electric charge
 * $$F = -q v B$$

In general form $$F = \pm q v B$$

Lorentz force
The electromagnetic force F on a test charge at a given point and time is a certain function of its charge q and velocity v, which can be parameterized by exactly two vectors E and B, in the functional form: $$\mathbf{F}=q(\mathbf{E}+\mathbf{v}\times\mathbf{B})$$

Where
 * $$\mathbf{F}$$ . Lorentz force
 * $$q$$ . Electric charge
 * $$\mathbf{E}$$ . Electric Field
 * $$\mathbf{B}$$ . Magnetic Field
 * $$\mathbf{v}$$ . Speed

Reference

 * Lorentz force