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124 Chapter 4 25 20 15 10 5 0 Fig. 4-17. Normalized primary electron density as a function of mass utilization efficiency. 0.5 0.6 0.7 Mass Utilization Efficiency 0.8 0.9 1.0 4.3.7 Power and Energy Balance in the Discharge Chamber The currents and potential distributions in the ring-cusp thruster discharge were shown in Fig. 4-9. The power into the discharge chamber is the emitted current from the hollow cathode multiplied by the voltage the electrons gain in the dischargechamber(Vk inFig.4-9): P = I V = I V –V +V + , (4.3-46) in ek e(d c p ) where Vd is the discharge voltage, Vc is the cathode voltage drop, Vp is the potential drop in the plasma, and is the sheath potential relative to the anode wall. This power into the discharge is transferred from the primary electrons from the cathode into producing ions, excited neutrals, and Maxwellian electrons. The power leaving the discharge to the electrodes is from ions flowing to the anode, cathode, and screen plane, and from primary and plasma electrons flowing to the anode. The power out of the discharge is then the sum of these terms, given by: P =I U++I*U*+(I +I )V +V + out p s k(d p ) (4.3-47) +(I+I)V+ +I +I V–V+V+ , b ia(p )ae L(d c p ) Normalized Primary DensityPDF Image | Fundamentals of Electric Propulsion: Ion and Hall Thrusters
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