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Fundamentals of Electric Propulsion: Ion and Hall Thrusters

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Fundamentals of Electric Propulsion: Ion and Hall Thrusters ( fundamentals-electric-propulsion-ion-and-hall-thrusters )

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390 Chapter 7 3. A Hall thruster has a plasma channel with a 15-cm outer diameter and a 10-cm inner diameter. Measurements made on the thruster indicate that the xenon plasma density in the channel is 5 1017 ions per m3, the electron temperature Te is 20 eV, and the radial magnetic field Br is 200 gauss (0.02 tesla). If the thruster is operated at a discharge voltage of 300 V, a. Whatisthebeampower? b. What is the electron Larmour radius rL ? c. What is the electron Hall parameter e ? d. If the thrust correction factor = 0.9 and the mass utilization efficiency m = 0.8 , what is the thrust and Isp? e. WhatistheHallcurrent? 4. A xenon Hall thruster has boron nitride walls with a linearly varying secondary electron yield with a value of 0.5 at zero electron energy and 2 for an electron energy of 100 eV. a. What is the equation for the secondary electron yield in terms of the electron energy? b. Find the equation for the secondary electron yield for a Maxwellian distribution of electron energies [hint: use Eq. (C-5)] in terms of the electron temperature Te . c. What is the electron temperature at which the electron flow to the wall is space-charge limited? d. Assuming nevB / nivi = 0.5 , what is the maximum sheath potential for non-space-charge-limited flow (Te less than the value found in part b)? 5. Assume that all the ions in a Hall thruster are produced by the Hall current ionizing the neutral gas in the channel. a. Neglecting the ion current to the wall as small so that all the ions produced become beam ions, what is the ratio of the Hall current to the beam current if the average electron temperature is 25 eV? (Hint: write the ion production rate in terms of the Hall current and use Appendix E for ionization and excitation collision cross sections.) b. For a xenon ion thruster with a mean radius of 9 cm, a radial magnetic field of 150 G, and a discharge voltage of 300 V, what is the ratio of the Hall current to the beam current?

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