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Multipole Expansion of the Electrostatic Potential
Multipole Expansion of the Electrostatic Potential

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CHAPTER 18 ELECTRIC FORCES AND ELECTRIC FIELDS

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... The Electric Potential of a Charged Sphere In  prac(ce,  you  are  more  likely  to  work  with  a  charged   sphere,  of  radius  R  and  total  charge  Q,  than  with  a  point   charge.  Outside  a  uniformly  charged  sphere,  the  ele ...
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... and hence can only have a radial component. Take as a Gaussian surface (G) a sphere of radius r (>a) placed concentric to the conductor. By symmetry the field E must be constant at all points on G and also normal to G. Flux through G = field x surface area = E.4r2 Total charge enclosed by surface i ...
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... charged surfaces, we must always first chose an appropriate Gaussian surface. In this case, for r
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... way, is then suddenly stopped, and finally moves the other way. 41. If such a hollow helix as that described (34) be laid east and west (or in any other constant position), and a magnet be retained east and west, its marked pole always being one way; then whichever end of the helix the magnet goes i ...
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Static electricity



Static electricity is an imbalance of electric charges within or on the surface of a material. The charge remains until it is able to move away by means of an electric current or electrical discharge. Static electricity is named in contrast with current electricity, which flows through wires or other conductors and transmits energy.A static electric charge is created whenever two surfaces contact and separate, and at least one of the surfaces has a high resistance to electric current (and is therefore an electrical insulator). The effects of static electricity are familiar to most people because people can feel, hear, and even see the spark as the excess charge is neutralized when brought close to a large electrical conductor (for example, a path to ground), or a region with an excess charge of the opposite polarity (positive or negative). The familiar phenomenon of a static shock–more specifically, an electrostatic discharge–is caused by the neutralization of charge.
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