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The law[ edit ] Coulomb's law states that: The fiber acts as a very weak torsion spring. The magnitude of the electrostatic force of attraction or repulsion between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them.

The scalar and vector forms of the mathematical equation are. In Coulomb's experiment, the torsion balance was an insulating rod with a metal -coated ball attached to one end, suspended by a silk thread. By knowing how much force it took to twist the fiber through a given angle, Coulomb was able to calculate the force between the balls and derive his inverse-square proportionality law.

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However, he did not generalize or elaborate on this. Electricity would remain little more than an intellectual curiosity for millennia untilwhen the English scientist William Gilbert made a careful study of electricity and magnetism, distinguishing the lodestone effect from static electricity produced by rubbing amber.

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The torsion balance consists of a bar suspended from its middle by a thin fiber. Thales of Miletus made a series of observations on static electricity around BC, from which he believed that friction rendered amber magneticin contrast to minerals such as magnetitewhich needed no rubbing.

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History[ edit ] Charles-Augustin de Coulomb Ancient cultures around the Mediterranean knew that certain objects, such as rods of ambercould be rubbed with cat's fur to attract light objects like feathers. The two charged balls repelled one another, twisting the fiber through a certain angle, which could be read from a scale on the instrument.

If the two charges have the same sign, the electrostatic force between them is repulsive; if they have different signs, the force between them is attractive.

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The ball was charged with a known charge of static electricityand a second charged ball of the same polarity was brought near it. This publication was essential to the development of the theory of electromagnetism. Coulomb's law can also be stated as a simple mathematical expression.