(Solution) - Two positive point charges each of magnitude q are fixed -(2025 Original AI-Free Solution)

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Two positive point charges, each of magnitude q, are fixed on the y-axis at the points y = +a and y = -a. Take the potential to be zero at an infinite distance from the charges.
(a) Show the positions of the charges in a diagram.
(b) What is the potential V0 at the origin?
(c) Show that the potential at any point on the x-axis is

(d) Graph the potential on the x-axis as a function of x over the range from x = -40 to x = +40.
(e) What is the potential when x » a? Explain why this result is obtained.