The electric field in the region defined by the y-z plane and the positive x axis is given by E = ax, where a is a constant. (There is no field for negative values of x.) As x increases in magnitude, relative to V = 0 at the origin, the electric potential in the region defined above is

Question

Quizplus · Accepted Answer

The electric potential V is related to the electric field E by the negative integral of E with respect to x. Since E = ax, integrating -ax with respect to x gives -a(x^2)/2, which is a decreasing function proportional to -|x^2|.

The Electric Field in the Region Defined by the Y-Z