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330 Chapter 7 1.2 1.0 0.8 0.6 0.4 0.2 0.0 −50 −40 −30 −20 −10 0 10 20 30 40 50 60 Axial Position from Maximum B (mm) Fig. 7-4. Axial variation centerline radial magnetic field normalized to the peak radial field in the NASA-173Mv Hall thruster (from [11]). Xeo w Anode Fig. 7-5. Schematic cross section of the plasma in the Hall thruster channel. L Xe+ Ae symmetric area Ae form the beam. The applied magnetic field is primarily vertical in the plasma region in this depiction. 7.2.1 Crossed-Field Structure and the Hall Current The electrons entering the Hall thruster channel from the exterior cathode spiral around the radial magnetic field lines with a Larmor radius derived in Chapter 3 and defined by Eq. (3.3-13). The electron Larmor radius must be less than the characteristic scale length L so that the electrons are magnetized and their mobility to the anode is reduced. If the electron velocity is characterized by their thermal velocity, then the electron Larmor radius is Normalized Radial Magnetic FieldPDF Image | Fundamentals of Electric Propulsion: Ion and Hall Thrusters
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