A charged particle of mass m and positive charge q moves in a uniform constant electric and magnetic fields, E pointing in the y direction and B in the z direction (crossed E and B fields). Suppose the particle is initially at the origin and has initial velocity Vxo in the x direction.
a) Find the electric force on the particle.
b) Find the magnetic force on the particle.
c) The net electric and magnetic force on the particle is called the Lorentz force. Using Newton?s second law, write down equations for the acceleration of the particle due to the Lorentz force in all three directions. Your acceleration should be in terms of the velocity, charge, electric and magnetic fields.
d) Prove that there is a unique value of Vxo, called the drift speed Vdr, for which the particle moves undeflected through the fields. Find an expression for Vdr in terms of E and B.