A positive charge +q is located at the point x = 0, y = −a, and a negative charge −q is located at the point x = 0, y = +a. (a) Derive an expression for the potential V at points on the y-axis as a function of the coordinate y. Take V to be Zero at an infinite distance from the charges. (b) Graph V at points on the y-axis as a function of y over the range from y = −4a to y = +4a. (c) Show that for y > a, the potential at a point on the positive y-axis is given by V = −(l/4π∈0)2qa/y2. (d) What are the answers to parts (a) and (c) if the two charges are interchanged so that +q is at y = +a and −q is at y = −a?
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