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 p ...continues

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 secon ...continues

Joule losses

1) A resistor as a resistance of 100kilohms and a power rating of one-quarter watt. What is the maximum voltage that can be applied across it?

Energy

A copper atom contains 29 electrons, one of which is a conduction electron. Copper has an atomic weight of 64 and a density of 8.9 x 10^3 kilograms/meter^3. Suppose that you have two copper spheres, each one having a volume of 1 centimeter^3. The spheres are depleted of their conduction electrons and separated by a distance o ...continues

Resistive film

A square film of Nichrome, an alloy of nickel and chromium, has copper electrodes deposited on two opposite edges. Show that the resistance between the electrodes depends only on the thickness of the film on its conductivity, as long as the film is square. This surface resistance is expressed in ohms per square.

Quadrupole and octupole terms of a dipole

1) A single point charge Q is at P'(0,0,s). First expand its potential at point P forms an angle theta with the z-axis, and r >> s. The distance from Q to P is r'. Disregard terms of the order (s/r)^4 and higher. Write out the values of V1, V2, V3. 2) Calculate V for a dipole exactly, a identify the quadrupole and octu ...continues

Electric Fields

1) Draw electric field lines for a quadrupole formed of charges +Q, -Q, +Q, -Q at the corners of a square. Charges on a diagonal have the same sign. (On a field line, dy/dx = Ey/Ex)