3. [2!) pts] Consider a Hall effect thruster where all the ions are produced by the Hall current that ionizes the neutral gas in the accelerating channel. A. What sort of particles constitutes the Hall current? Sketch the trajectories of these particles. B. Neglecting the ion losses on the walls of the accelerating channel and assuming that all the ions produced become singlycharged beam ions, what is the ratio of the Hall current [Aim] to the beam current density [Afmz]? Write your answer in terms of the magnetic field, discharge voltage, ion mass, and electron charge. C. Calculate the ratio of the Hall current to the beam current density for Krypton ions, radial magnetic eld in the accelerating chaimel of 20D G, and a discharge 1voltage of 400 V? D. For the same thruster as part C, calculate the total Hall current [A], the total beam current [A], and the mass utilization efciency nm, if anode and cathode flow rates are 3? sccrri and 5 sccm respectively, electron number density in the channel is 1X 1011 cm" 3, and outer and inner diameters of the annular accelerating channel are 13 cm and 10 cm, respectively