# Problem: If the electric potential at some point is large, is the electric field at that point also necessarily large or not? Explain your answer, and provide a counterexample if not. 1.

###### FREE Expert Solution

Relationship between the electric field and electric potential:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{-}}\frac{\mathbf{∆}\mathbf{V}}{\mathbf{∆}\mathbf{x}}}$

Electric field depend on the change in potential and not the magnitude of the electric potential.

###### Problem Details

If the electric potential at some point is large, is the electric field at that point also necessarily large or not? Explain your answer, and provide a counterexample if not. 1.