**Force in a Magnetic Field:**

Force in a Magnetic Field – If a conductor of length *l* metres carrying current I amperes is placed in a magnetic field of intensity B (tesla), and if B is perpendicular to I, the force acting on the conductor is

If N electrons are contained in a length *l *of the conductor [Fig. 3.6 (a)] and if an electron takes time T seconds to travel a distance of *l* metres in the conductor, the total number of electrons passing through any cross section of wire in unit time is N/T.

Thus, the total charge per second passing any point, which, by definition, is the current in amperes, is

Thus, the force due to Magnetic Field (Fig. 3.6(b)]

Furthermore, since *l*/T is the average, or drift, speed v metres per second of electrons, the force experienced by each electron due to magnetic field is

The subscript m indicates that the force is of magnetic origin.