A point charge of +3e is at the origin and a second point charge of –2e is on the x-axis at x = a. (a) Sketch the potential function V(x) versus x for all points on the x axis. (b) At what point or points, if any, is V= zero on the x axis? (c) What point or points, if any, on the x-axis is the electric field zero? Are these locations the same locations found in Part (b)? Explain your answer. (d) How much work is needed to bring a third charge +e to the point x = a on the x-axis?

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