science & techWikipedia1785

Coulomb's law: electric charges pull or push with a force that falls off with the square of distance

the gist

Coulomb's law describes the electrostatic force between two electric charges at rest. The force is proportional to the product of the two charges and falls off with the square of the distance between them. Like charges repel and opposite charges attract, along the straight line joining them. French physicist Charles-Augustin de Coulomb published this in 1785, after precise torsion-balance experiments. The law is similar to Newton's law of gravity, but electric forces are far stronger and can be attractive or repulsive. It has been tested across an enormous range of scales.

how it works

Each charge creates an electric field that spreads out in all directions, and its strength is spread over a larger and larger sphere as distance grows. That spreading produces the inverse-square falloff. The sign of the charges determines whether the force pulls them together or pushes them apart.

so what

The law is the foundation of electromagnetism and explains how atoms hold together, how chemistry works and why static electricity clings to things. Engineers and physicists still use it to model everything from circuits to lightning.

more on this

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