The force exerted on a charged particle b\ a magnetic field isF = qv × B.where q and v arc...

The force exerted on a charged particle b\ a magnetic field is

F = qv × B.

where q and v arc the charge and velocity vector of the particle and B is the magnetic field vector. A particle of mass m and positive charge q is projected at O with velocity v = v0i into a uniform magnetic field B = B0k. Using normal and tangential components, show that (a) the magnitude of the particle’s velocity is constant and (b) the particle’s path is a circle with radius mv0/qB0.