I need some help with this physics problem. The motion of a charged particle in an electromagnetic field can be obtained from theLorentz equation. If the electric field vector is E and the magnetic field is B, the forceon a particle of mass m that carries a charge q and has a velocity vF = qĒ + qỡ x Bwhere we assume v << c (speed of light).(a) If there is no electric field and if the particle enters the magnetic field in a directionperpendicular to the lines of magnetic flux, show that the trajectory is a circle withradiusmvqBwhere we = qB/m is the cyclotron frequency.(b) Choose the z-axis to lie in the direction of B and let the plane containing E and B bethe yz-plane. Thusvr =where9WcB = BÊ, E = Eyĵ + E₂k.Show that the z component of the motion is given byz(t) = zo + żot +qEz2mt.z(0) = zo and ż(0) = żo.

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