An electric dipole is located along the y axis as shown in Figure P25.69. The magnitude of its electric dipole moment is defined as p =2qa.
(a) At a point P, which is far from the dipole (r >> a), show that the electric potential is
(b) Calculate the radial component Er and the perpendicular component E θ of the associated electric field. Note that E θ = -(1/r)(,V/,(). Do these results seem reasonable for 0 = 90° and 0°? For r = 0?
(c) For the dipole arrangement shown, express V in terms of Cartesian coordinates using r = (x2 + y2)1/2 and cos 0 = y/ (x2 + y2) ½ Using these results and again taking r >> a, calculate the field components Ex and Ey

E, Rig +4 rg