Magnetic Force

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Magnetic force, attraction or repulsion that arises between electrically charged particles because of their motion. It is the basic force responsible for such effects as the action of electric motors and the attraction of magnets for iron. Electric forces exist among stationary electric charges; both electric and magnetic forces exist among moving electric charges. The magnetic force between two moving charges may be described as the effect exerted upon either charge by a magnetic field created by the other.

A magnet is an object that has a magnetic force. Magnetic force exists around a magnet or electrical field. An electric field is a space surrounding an electric charge. We can say, therefore, that magnetic force is generated electromagnetically.

the magnetic force F on the particle is proportional to its charge q, the magnitude of its velocity v, the magnitude of the magnetic field B produced by the moving charge and the sine of the angle theta θ, between the path of the particle and the direction of the magnetic field.
$$ \text{Thwerefore, } F = qBv \sin θ. $$ The force is zero if the charge is travelling in the direction of the magnetic field and is greatest if it travels at right angles to the magnetic field.

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