Relationship between electric field and electrostatic potential

We examined the following relationship earlier in the semester:

[line integral]

Given the electric field along a curve joining two points, the electrostatic potential difference between the points is found by evaluation of the above line integral.

Given the electrostatic potential, defined at points described by Cartesian coordinates,

[electrostatic potential]

the electric field is the negative gradient of the potential.

[gradient of potential]

Last updated Dec. 8, 1997.
Copyright George Watson, Univ. of Delaware, 1997.