The electric field in the region defined by the y-z plane and the negative x axis is given by E = ?ax, where a is a constant. (There is no field for positive values of x.) As ?x increases in magnitude, relative to V = 0 at the origin, the electric potential in the region defined above is
A. a decreasing function proportional to ?|x2|.
B. a decreasing function proportional to ?|x|.
C. constant.
D. an increasing function proportional to +|x|.
E. an increasing function proportional to +|x2|.
Answer: E
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