The space surrounding an electric charge or varying magnetic field in which another electric charge experiences a perceptible mechanical force. The charge acted upon by the field is assumed to be sufficiently small so that the electrical conditions are not altered by it. The electric field at a point is represented by a vector E and is measured in terms of the mechanical force per unit charge, with units volts per metre. The force, F, given by Coulomb’s law, is thus related to the field by:
where e is the electron charge.
In one-dimensional scalar form, the potential difference between two points separated by a vector s (and a corresponding distance s) is related to the magnitude of the electric field by
or in more general three-dimensional terms
where i, j, and k are unit vectors along the x-, y-, and z-axes, respectively.
https://academo.org/demos/electric-field-line-simulator/ An interactive electric field simulator