Gauss’s Law

The concept of flux describes how much of something goes through a given area. More formally, it is the dot product of a vector field within an area. For …

Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be …

If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one …

Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain …

A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In …

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along …

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane …

When a conductor is placed in an external electric field, the free charges in the conductor redistribute and very quickly reach electrostatic equilibrium. …

An interesting property of a conductor in static equilibrium is that extra charges on the conductor end up on its outer surface, regardless of where they …

Consider a conductor in electrostatic equilibrium. The net electric field inside a conductor vanishes, and extra charges on the conductor reside on its …

Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for …

Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the …

The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from …