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Gaussian surface – definition, examples, properties

In this post, we will cover the definition of Gaussian surface and its examples. We will also study the properties of the Gaussian surface.

[ Read Gauss’ Law statement and derivation ]

Definition of Gaussian surface

A Gaussian surface is an imaginary and arbitrary closed surface in 3D space that must pass through the point where the electric field is to be calculated.

[Read Electric flux ]

Examples of Gaussian surface

The surface of a sphere, the surface of a cylinder, and the surface of a cube can be considered a Gaussian surface.

2D surfaces like square surfaces, disk surfaces, etc. are not Gaussian surfaces.

Properties of Gaussian surface

  1. It should be a closed surface.
  2. The Gaussian surface must pass through the point where the electric field is to be calculated.
  3. Gaussian surface must have a shape according to the symmetry of the source so that the electric field is normal to the surface at each point and constant in magnitude.

[ Read Gauss’ Law statement and derivation ]

See also  electrostatics – Worksheet 1 problem solution (Q4)
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