Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Force on current-c

The force on a current carrying wire is similar to that of a moving charge as expected since a charge carrying wire is a collection of moving charges. A current carrying wire feels a force in the presence of a magnetic field. The Lorentz force on a macroscopic current is often referred to as the Laplace force. Consider a conductor of length l, cross section A, and charge q which is due to electric current i. If this conductor is placed in a magnetic field of induction B which makes an angle θ (theta) with the velocity of charges in the conductor, the force exerted on a single charge q is

$,F = qvBsin( heta)$,

so, for N charges where

$,N = nlA$,

the force exerted on the conductor is

$,f=FN=qvBsin( heta)(nlA)$,
$,f=Bilsin( heta)$,

where $,i=nqvA$.

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