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Three charges are arranged in a line along the x-axis, q1 = −5e at x =...

Three charges are arranged in a line along the x-axis, q1 = −5e at x = 0, q2 = e at x = a and q3 = e at x = 2a (where e is the fundamental charge).

(a) Sketch a plot of the electric potential as a function of x, labelling the important points. Assume V (x → ∞) = 0.

(b) Find an expression for the electric potential at position x0, somewhere along the x-axis.

(c) What is the electrical potential energy of a proton sitting at x = a/2 (due to the three charges).

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