Solve parts (a) and (b) with Matlab. Also, comment on the program commands you do to graph. Relativistic Lorentz force The force felt by a particle of charge q moving with velocity v in the presence of a wire through which a current I flows and an electric field parallel to the z axis, E, is given by F = q(E+v × B), (1) where B is the magnetic field generated by current I and which is calculated using the Biot-Savart Law: Но B(r) = 4πT SIX R de With R = r — r'. (2) (a) Suppose that the magnetic field points in the x direction, so the Lorentz force will have components only on the y and z axes. If the charge q begins its trajectory at the origin and from rest, what will the trajectory follow due to the Lorentz force? To solve this question, pose the equations of motion: y" = wz' z" 31 (一). (3) (4) where w qB is the cyclotron frequency of a particle of charge m q, mass m, in the presence of a magnetic field of magnitude B. Solve them with the initial conditions mentioned in the problem with the ODE45 Matlab method and make a graph in space of the resulting trajectory.