An electric dipole is located along the y axis as shown in figure P24.48. The magnitude of its electric dipole moment is defined as p = 2 aq.
(a) At a point P, which is far from the dipole (r » a), shown that the electric potential is
.
(b) Calculate the radial component Er and the perpendicular component Eθ of the associated electric field. Note that Eθ = -(1/r)(∂V/∂θ). Do these results seem reasonable for
(c) θ=90º and 0º?
(d) For r = 0?
(e) For the dipole arrangement shown in Figure P24.48 express V in termes of Cartesian coordinates using r = (x2+y2)1/2 and
.
(f) Using these results and again taking r » a, calculate the field of components Ex and Ey.
