A z-directional point dipole with moment P0 = 4πε0 is placed at the origin in empty space. As you know, the potential and electric field of this dipole are expressed in spherical coordinates by the formulas in picture. Calculate the work to be done against the external electric field to move a point charge of Q = 1 Coulomb under the electric field effect created by the dipole from (0,0,3) to (0,0,9).

A z-directional point dipole with moment P0 = 4πε0 is placed at the origin in empty space. As you know, the potential and electric field of this dipole are expressed in spherical coordinates by the formulas in picture. Calculate the work to be done against the external electric field to move a point charge of Q = 1 Coulomb under the electric field effect created by the dipole from (0,0,3) to (0,0,9).