PROBLEMS TO BE WRITTEN UP AND TURNED IN AT RECITATION This problem is due at your first recitation meeting after Wed 08/22. The problem should be written on a single sheet of paper (front and back), or if multiple sheets are used, staple them together. For full credit, the work must be neat, with clearly labeled diagrams. The labels must be in BOTH words and symbols. For each part of each problem, you must BRIEFLY explain your strategy in words, as well as neatly showing your physics equations and math, with proper units. If you do not follow these instructions, do not expect significant partial credit. GBA E1. A positive charge +q is located on the postive x-axis at x = +a. A negative charge -q is located on the negative x-axis at x = -a. (a) Find a general expression for the total electric field strength at all points on the x-axis to the right of x = +a. Show that your expression is equivalent to 4akqx/((x^2-a^2)^2). (5 points) (b) Show how to use the binomial expansion to find an approximate expression for the same field strength which is valid for x >> +a. Show two terms in your expression. Why is it often said that the field of a dipole, far from the dipole, "goes like" 1/(r^3)? (15 points)