Electrostatic io thruster

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Nucleus

Rutherford observed that an alpha particle (Q1 = 2 x 1.6 x 10^-19 coulomb) having a kinetic energy of 7.68 x 10 ^6 electron volts (7.68 x 10^6 x 1.6 x 10^-19 joule) rebounds backward in a head on collision with a gold nucleus (Q2 = 79 x 1.6 x 10^-19 coulomb). a. What is the distance of closest approach where the electrostatic potential energy is equal to the initial kinetic energy? Express results in femtometers (10^-15 meter). b. What is the maximum force of repulsion? c. What is the maximum acceleration in g’s? The mass of the alpha particle is about 4 times that of a proton, or 4 x 1.7 x 10^-27 kilogram.

Problem 1 : An electric field points every where in direction z. To determine partial derivatives with respect to x, y and z and to sketch lines for one possible and one impossible field. Problem 2 : Given electric field near earth's surface, to determine the charge on the earth.

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Ion accelerator

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Cube & electron density in copper

1) Twelve equal resistances R form the edges of a cube as shown. a. A battery is connected between A and G. Can you find one set of three points that are at the same potential? Can you find another set? b. Now imagine that you have a sheet of copper connecting the first set, and another sheet of copper connecting the second set. This does not affect the currents in the resistors. You can now show that RAG = (5/6)R. See attached file for full problem description.