A one-dimensional row of positive ions, each with charge+Q

Chapter 21, Problem 21.92

(choose chapter or problem)

A one-dimensional row of positive ions, each with charge+Q and separated from its neighbors by a distance d,occupies the right-hand half of the x axis. That is, there is a+Q charge at x = 0, x = +d, x = +2d, x = +3d, and soon out to oo. (a) If an electron is placed at the positionx = d, determine F, the magnitude of force that this rowof charges exerts on the electron, (b) If the electron is insteadplaced at x = 3d, what is the value of F? [Hint: Theinfinite sum where n is a positive integer.]

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