Current Attempt in Progress Ion Thrusters III: Current and Power. You and your team are designing a new propulsion engine that ejects xenon (Xe) ions in one direction, causing a spacecraft to accelerate in the opposite direction, in accordance with the conservation of linear momentum and the impulse-momentum theorem. This is exactly what happens when a rocket engine expels high velocity particles when burning fuel, except that, in the case of the ion drive, the ions are accelerated with an electric field. In this process, Xe gas atoms are ionized so that they each acquire a net charge of +e. They are then subjected to an electric field, which accelerates and ejects the ions from the engine. In the thruster you are designing, the Xe atoms accelerate through a potential difference of 2.06 kV between a grounded electrode and a negatively charged grid, through which the ions are ejected at a speed of 55.0 km/s relative to the engine. (a) If Xe ions are ejected from the thruster at a rate of 9.05 × 10-6 kg/s, what is the magnitude of the electric current that passes through the grid, that is, ejected from the thruster? (b) What is the electrical power in watts supplied by the power source of the ion thruster? The mass of a Xe ion is 2.18 × 10-25 kg. (a) Number i Units (b) Number i Units
Current Attempt in Progress Ion Thrusters III: Current and Power. You and your team are designing a new propulsion engine that ejects xenon (Xe) ions in one direction, causing a spacecraft to accelerate in the opposite direction, in accordance with the conservation of linear momentum and the impulse-momentum theorem. This is exactly what happens when a rocket engine expels high velocity particles when burning fuel, except that, in the case of the ion drive, the ions are accelerated with an electric field. In this process, Xe gas atoms are ionized so that they each acquire a net charge of +e. They are then subjected to an electric field, which accelerates and ejects the ions from the engine. In the thruster you are designing, the Xe atoms accelerate through a potential difference of 2.06 kV between a grounded electrode and a negatively charged grid, through which the ions are ejected at a speed of 55.0 km/s relative to the engine. (a) If Xe ions are ejected from the thruster at a rate of 9.05 × 10-6 kg/s, what is the magnitude of the electric current that passes through the grid, that is, ejected from the thruster? (b) What is the electrical power in watts supplied by the power source of the ion thruster? The mass of a Xe ion is 2.18 × 10-25 kg. (a) Number i Units (b) Number i Units
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Current Attempt in Progress
Ion Thrusters III: Current and Power. You and your team are designing a new propulsion engine that ejects xenon (Xe)
ions in one direction, causing a spacecraft to accelerate in the opposite direction, in accordance with the conservation
of linear momentum and the impulse-momentum theorem. This is exactly what happens when a rocket engine expels
high velocity particles when burning fuel, except that, in the case of the ion drive, the ions are accelerated with an
electric field. In this process, Xe gas atoms are ionized so that they each acquire a net charge of +e. They are then
subjected to an electric field, which accelerates and ejects the ions from the engine. In the thruster you are designing,
the Xe atoms accelerate through a potential difference of 2.06 kV between a grounded electrode and a negatively
charged grid, through which the ions are ejected at a speed of 55.0 km/s relative to the engine. (a) If Xe ions are ejected
from the thruster at a rate of 9.05 × 10-6 kg/s, what is the magnitude of the electric current that passes through the
grid, that is, ejected from the thruster? (b) What is the electrical power in watts supplied by the power source of the ion
thruster? The mass of a Xe ion is 2.18 × 10-25 kg.
(a) Number
i
Units
(b) Number i
Units
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