Experimentally it is found that the magnitude of the force acting on a current carrying conductor kept in a magnetic field in a direction perpendicular to it, depends on the following factors:
(i) The F is directly proportional to the length of the current carrying conductor, i.e., F ∝ l.
(ii) F is directly proportional to the strength of the magnetic field, i.e., F ∝ B.
(iii) F is directly proportional to the strength of the current flowing in the conductor, i.e., F ∝ i.
Combining the above factors we find that:
or F ∝ i Bl
F = KiBl