What can we say about how rapidly the electric potential cha

What can we say about how rapidly the electric potential changes , as well as about the strength of the electric field in that region?

Solution

The elctric potential is given by the gradient of the electric potential.

It also says that the direction of electric field at any point is given by the direction in which the potential changes the fastest and normal to the electric potential lines. From the figure , we can clearly see that on the left the electric potential changes with the fastest going towards Left horizontally. And on right, going towards right horizontally.