Potential

In vector calculus, any vector field of a certain type has an associated scalar field called the potential. Potentials find broad applications in physics. In addition to this scalar potential, the vector potential is a related construct.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

If ec F is an irrotational (aka conservative, curl-free, or potential) vector field with continuous partial derivatives, the potential of ec F with respect to a reference point mathbf r_0 is defined in terms of a line integral:

~ ~ ~ ~ ~ ~ ~ ~ ~ ~

:V(mathbf r) = int _{mathbf r_0} ^{mathbf r} ec F cdot d mathbf r'       (1).

Vector calculus: Vector calculus is a field of mathematics concerned with multivariate real analysis of vectors in two or more dimensions. It consists of a suite of formulas and problem solving techniques very useful for engineering and physics....

Vector field: In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a Euclidean space....

Scalar field: In mathematics and physics, a scalar field associates a scalar to every point in space. Scalar fields are often used in physics, for instance to indicate the temperature distribution throughout space, or the air pressure....

Potential related Images and Photos (experimental)

Potential

George W. Bush- Potential Mental Losses

String Trio in the Garden with a Potential Brass Player Waiting for His Opportunity on the Right