# Magnetic field and Vector field            A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

- Magnetic field

Vector fields are often used to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from one point to another point.

- Vector field 4 related topics ## Curl (mathematics) In vector calculus, the curl is a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space.

. This is why the magnetic field, characterized by zero divergence, can be expressed as the curl of a magnetic vector potential. ## Maxwell's equations

Maxwell's equations are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.

Maxwell's equations are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.    The equations provide a mathematical model for electric, optical, and radio technologies, such as power generation, electric motors, wireless communication, lenses, radar etc. They describe how electric and magnetic fields are generated by charges, currents, and changes of the fields.

, a vector field, and the magnetic field, ## Euclidean vector

Geometric object that has magnitude (or length) and direction.

Geometric object that has magnitude (or length) and direction.      Other physical vectors, such as the electric and magnetic field, are represented as a system of vectors at each point of a physical space; that is, a vector field. ## Field (physics)

Physical quantity, represented by a scalar, vector, or tensor, that has a value for each point in space and time.

Physical quantity, represented by a scalar, vector, or tensor, that has a value for each point in space and time.      A surface wind map, assigning an arrow to each point on a map that describes the wind speed and direction at that point, is an example of a vector field, i.e. a 1-dimensional (rank-1) tensor field.

However, it became much more natural to take the field approach and express these laws in terms of electric and magnetic fields; in 1849 Michael Faraday became the first to coin the term "field".