Physics XII Content





Force on moving charge on a magnetic field (Lorentz Force)

Consider a charged particle or charge =q is moving with velocity v on a magnatic field B can experience magnatic force FM. If the direction of magnatic field is represented by Y-axis, velocity of charged particle is along XY plane making angle θ with direction of magnatic field (B), then the direction of magnetic force is represented by Z-axis.
Force on moving charge on a magnetic field

Experimentally it is found that magnitude of magnetic force is
directly proportional to the magnitude of the charge i.e.
Force on moving charge on a magnetic field

directly proportional to the velocity of the charge i.e.
Force on moving charge on a magnetic field

directly proportional to the strength of magnatic field i.e.
Force on moving charge on a magnetic field

directly proportional to the sine of angle between v and B i.e



Force on moving charge on a magnetic field

Now from above equations, we get
Force on moving charge on a magnetic field

This is the expression for Lorentz magnetic force where FM is perpendicular to the plane of v and B

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