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## Electric displacement fieldIn physics, the ## Additional recommended knowledge## DefinitionIn general, where If and by it yields where is the permittivity of the material. In linear isotropic media this will be a constant, and in linear anisotropic media it will be a rank 2 tensor (a matrix). χ is called the electric susceptibility. ## Displacement field in a capacitorConsider an infinite parallel plate capacitor placed in space (or in a medium) with no free charges present except on the capacitor. In SI units, the charge density on the plates is equal to the value of the On the sides of the box, is perpendicular to the field, so that part of the integral is zero, leaving, for the space inside the capacitor where the effect of the two plates adds: which is the charge density on the plate. Outside the capacitor, the two plates effect compensate each other and . ## UnitsIn the standard SI system of units This choice of units results in one of the simplest forms of the Ampère-Maxwell equation:
If one chooses both
Therefore it is seen as being preferential to express Choice of units has differed in history, for instance in the electromagnetic system of scientific units, in which the unit of charge is defined so that (dimensionless), |

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Electric_displacement_field". A list of authors is available in Wikipedia. |