 Circular symmetry

Circular symmetry in mathematical physics applies to a 2dimensional field which can be expressed as a function of distance from a central point only.^{[citation needed]} This means that all points on each circle take the same value.
An example would be magnetic field intensity in a plane perpendicular to a currentcarrying wire. A pattern with circular symmetry would consist of concentric circles.
The 3dimensional equivalent term is spherical symmetry. A scalar field has spherical symmetry if it depends on the distance to the origin only, such as the potential of a central force. A vector field has spherical symmetry if it is in radially inward or outward direction with a magnitude and orientation (inward/outward)^{[citation needed]} depending on the distance to the origin only, such as a central force.
See also
 Rotational symmetry
 Particle in a spherically symmetric potential
 Gauss's theorem
Categories: Symmetry
 Rotation (geometry)
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