The negative gradient of the potential in any direction makes up the electric field component in that direction.
Voltage is the potential energy per unit charge, while the electric field is the force felt by the unit charge. Given is the relationship between voltage and the electric field: .
It suggests that electric field flows from a point at higher voltage to a point at lower voltage.
Here, The voltage between two points is denoted by , is the electric field, and the distance between the points is .