The force on a charged particle in an electric field E and a magnetic field B is given byi...

The force on a charged particle in an electric field E and a magnetic field B is given by

in an inertial system, where q is the charge and v is the velocity of the particle in die inertial system. Show that the differential equation of motion referred to a rotating coordinate system with angular velocity ω = −(q/2m)B is, for small B

that is, the term involving B is eliminated. This result is known as Larmor’s theorem.