1adapted from prob 2 p 127 browns introductory physics iisuppose you h

Question

1.(adapted from Prob. 2, p. 127, Brown's Introductory Physics II)Suppose you have a charge q at position y a and a charge -g at y -d, both on the y axis (an electric dipole as studied in chapter 1.see Figure I below). (a)Write an expression for the electric potential of the dipole at an arbitrary position (x, y (c)Evaluate your result in part (b) for a position (x, y) = (x, 0) on the x axis and compare it to the result of HW2B #1(b). We usually try to simplify early in a problem before doing the tough math. Why is it important in this problem to differentiate the potential before setting y= 0?
(b)Find expressions for the x and y components of the electric field at an arbitrary position (x, y) by carefully differentiating your result in part (a).