An electric dipole at the origin consists of two charges

Chapter 26, Problem 26.112

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An electric dipole at the origin consists of two charges {q spaced distance s apart along the y-axis. a. Find an expression for the potential V1x, y2 at an arbitrary point in the xy-plane. Your answer will be in terms of q, s, x, and y. b. Use the binomial approximation to simplify your result of part a when s V x and s V y. c. Assuming s V x and y, find expressions for Ex and Ey, the components of E u for a dipole. d. What is the on-axis field E u ? Does your result agree with Equation 23.10? e. What is the field E u on the bisecting axis? Does your result agree with Equation 23.11?

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