Simply put, a charge of any given value on one object will induce an opposite charge on the adjacent surface of any nearby object. Imagine two metal spheres, separated from each other by a small distance. If we charge sphere a negatively, sphere B. will develop a positive charge on the hemisphere adjacent to sphere a. In fact, the charges on both spheres will be concentrated on the spheres' adjacent hemispheres. Negative charge will be concentrated on a's side facing B, and positive charge concentrated on B's side facing a. The degree to which sphere a can be negatively charged without a spark leaping from a to B (equalizing the charges on both spheres) is a function of the distance between the two spheres, the surface areas of the two spheres, and the dielectric constant (the tendency of a material to resist the flow of electricity through it) of the material intervening between them. In our example the material is air and it is the baseline against which all other substances' dielectric constants are scaled, so the dielectric constant of air is equal to 1 as in Table 1 (Ford, 1991). The general formula expressing this function is C = 0.08854(a/S) in which C. is capacitance in picofarads, a is the area of one side of one plate in square centimeters and S. is the distance between plates in centimeters. The rule of thumb from this equation is that capacitance increases as the area of the plates increase, but decreases as the distance between plates increases. With air as the dielectric and the bottom of a thunder cloud representing one plate and the surface of the Earth as another, each many square kilometers in area, the practical capacitance thus formed is staggering. A thunderstorm's base may possess a charge of around 300 million volts and can be hundreds of square kilometers in area.
Appendix
Dielectric Constants for Insulators
Insulator
Dielectric Constants
Plate Glass
Pyrex Glass
Hard Rubber
Polystyrene
Shellac Film
Spar Varnish
Bees wav (purified)
Paraffin wax
Wood (dry)
Air
References
Ford, R.A. Homemade Lightning - Creative Experiments in Electricity. Blue Ride Summit, PA: Tab Books, 1991.
Noon, Walt. Secrets of Building Electrostatic Lightning Bolt Generators. Bradley, IL: Lindsay Publications, 1992.
Jefimenko, Oleg D. Electrostatic Motors. Star City, WV: Electret Scientific Co., 1973
Moore, a.D. Electrostatics - Exploring, Controlling, and Using Static Electricity. Morgan Hill, CA: Laplacian Press, 1997
Lightning." Wikipedia - the Free Encyclopedia Retrieved on 21 May 2005 at http://en.wikipedia.org/wiki/Lightning.
Lightning's Origins
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