Vector potential information

In vector calculus, a vector potential is a vector field whose curl is a given vector field. This is analogous to a scalar potential, which is a scalar...

In classical electromagnetism, magnetic vector potential (often called A) is the vector quantity defined so that its curl is equal to the magnetic field:...

electrostatics, the electrostatic field is a vector quantity expressed as the gradient of the electrostatic potential, which is a scalar quantity denoted by...

In vector calculus, a conservative vector field is a vector field that is the gradient of some function. A conservative vector field has the property...

Japanese, and Sanskrit. In physics, a potential may refer to the scalar potential or to the vector potential. In either case, it is a field defined in...

confusion with vector potential). The scalar potential is an example of a scalar field. Given a vector field F, the scalar potential P is defined such...

also known as (electrical) potential difference, electric pressure, or electric tension is the difference in electric potential between two points. In a...

is satisfied whenever a vector field v has only a vector potential component, because the definition of the vector potential A as: v = ∇ × A {\displaystyle...

}{\partial t}}.\end{aligned}}} The vector potential, A given by this form may be interpreted as a generalized potential momentum per unit charge just as...

and defines a scalar potential field. In this case, the force can be defined as the negative of the vector gradient of the potential field. If the work...

{M}}^{\text{i}}} is the impressed magnetic current (energy source). The electric vector potential, F, is computed from the magnetic current density, M i {\displaystyle...

term potential function may refer to: A mathematical function, whose values are given by a scalar potential or vector potential The electric potential, in...

magnetic vector potential such that B ( r ) = ∇ × A . {\displaystyle \mathbf {B} (\mathbf {r} )=\nabla \times \mathbf {A} .} Both of these potentials can be...

potentials, and charges with currents, generally speaking. The most common description of the electromagnetic field uses two three-dimensional vector...

dr' is the displacement vector in a curve from the reference position rref to the final position r. The electrostatic potential energy can also be defined...

_{0}\mathbf {J} } where φ(r, t) is the electric potential and A(r, t) is the magnetic vector potential, for an arbitrary source of charge density ρ(r,...

general discussion of magnetic vector potential. See Feynman page 15-11 for a diagram of the magnetic vector potential around a long thin solenoid which...

expressed in terms of the electric scalar potential φ {\displaystyle \varphi } and the magnetic vector potential A through the relations: E = − ∇ φ − ∂ A...

{A} }{\partial t}}\,\!} where A is the electromagnetic vector potential. This last potential expression in fact reduces Faraday's law to an identity...

which is generally done by subtracting the time derivative of the A vector potential described below. Whenever the charges are quasistatic, however, this...

vector potential, A, defined so that B = ∇ × A {\displaystyle \mathbf {B} =\nabla \times \mathbf {A} } , one can still define an electric potential Φ...

_{S}\mathbf {B} \cdot d\mathbf {S} .} From the definition of the magnetic vector potential A and the fundamental theorem of the curl the magnetic flux may also...

Magnetic potential may refer to: Magnetic vector potential, the vector whose curl is equal to the magnetic B field Magnetic scalar potential, the magnetic...