attraction or repulsion that arises between electrically charged particles because of their motion; the basic force responsible for 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.
From this point of view, the magnetic force F on the second particle is proportional to its charge q2, the magnitude of its velocity v2, the magnitude of the magnetic field B1 produced by the first moving charge, and the sine of the angle theta, θ, between the path of the second particle and the direction of the magnetic field; that is, F = q2B1v2 sin θ. The force is zero if the second charge is travelling in the direction of the magnetic field and is greatest if it travels at right angles to the magnetic field.
The magnetic force on a moving charge is exerted in a direction at a right angle to the plane formed by the direction of its velocity and the direction of the surrounding magnetic field.
Magnetic-force-between-current-loopsFigure 5: Magnetic force between current loops. In each case shown, the arrow indicates the …[Credits : Courtesy of the Department of Physics and Astronomy, Michigan State University]
Magnetic-force-on-moving-chargesFigure 3: Magnetic force on moving charges. The magnetic force F is …[Credits : Courtesy of the Department of Physics and Astronomy, Michigan State University]
Force-between-small-permanent-bar-magnetsFigure 6: Force between small permanent bar magnets.[Credits : Courtesy of the Department of Physics and Astronomy, Michigan State University]
Right-hand-rules-for-the-magnetic-force-on-an-electricFigure 4: Right-hand rules for the magnetic force on an electric current (see text).[Credits : Courtesy of the Department of Physics and Astronomy, Michigan State University]
We welcome your comments. Any revisions or updates suggested for this article will be reviewed by our editorial staff. Contact us here.
Regular users of Britannica may notice that this comments feature is less robust than in the past. This is only temporary, while we make the transition to a dramatically new and richer site. The functionality of the system will be restored soon.