Consider a Hall effect thruster where all the ions are produced by the Hall current that...

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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 singly-charged beam ions, what is the ratio of the Hall current [A/m] to the beam current density [A/m²]? 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 field in the accelerating channel of 200 G, and a discharge voltage 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 efficiency nm, if anode and cathode flow rates are 37 sccm and 5 sccm respectively, electron number density in the channel is 1×10¹¹ cm 3, and outer and inner diameters of the annular accelerating channel are 13 cm and 10 cm, respectively. 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 singly-charged beam ions, what is the ratio of the Hall current [A/m] to the beam current density [A/m²]? 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 field in the accelerating channel of 200 G, and a discharge voltage 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 efficiency nm, if anode and cathode flow rates are 37 sccm and 5 sccm respectively, electron number density in the channel is 1×10¹¹ cm 3, and outer and inner diameters of the annular accelerating channel are 13 cm and 10 cm, respectively.

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