Walker, Halliday & Resnick — Electric Potential: Problem 52

52 A graph of the x component of the electric field as a function of x in a region of space is shown in Fig. 24-44. The scale of the vertical axis is set by \(E_{xs} = 10.0 \text{ N/C}\). The y and z components of the electric field are zero in this region. If the electric potential at the origin is \(10 \text{ V}\), (a) what is the electric potential at \(x = 2.0 \text{ m}\), (b) what is the greatest positive value of the electric potential for points on the x axis for which \(0 \le x \le 6.0 \text{ m}\), and (c) for what value of x is the electric potential zero?