What is the equation that relates electric potential (voltage) to electric field?

Question

This question is simply asking for the equation

Answer 1

V(x,y,z) = electric potential as a function of x,y, and z

 

E(x,y,z) = electric field vector as a function of x,y, and z

 

E = -∇V = -[(∂V/∂x)i + (∂V/∂y)j + (∂V/∂z)k]