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Nov 18, 2015 at 15:39 comment added dorverbin Then this is just an arbitrary choice. Electric potentials have a gauge freedom, and by choosing the potential to be 0 in the origin is an acceptable choice (and a common one for this type of potential).
Nov 18, 2015 at 13:30 comment added Quantum spaghettification I mean 0 disregarding the potential due to the dipole.
Nov 18, 2015 at 8:33 comment added dorverbin Also, in regard to your edit - why are you saying the potential is zero at the origin? It is unbounded at the origin - the part belonging to the external homogeneous field nullifies, but the dipole part diverges.
Nov 18, 2015 at 8:26 comment added dorverbin The field is absolutely not homogeneous. There is an external homogeneous field, in addition to the field caused by the dipole. This is why the potential is a sum of two terms - the first describing the dipole and the second describing the external field.
Nov 18, 2015 at 8:04 comment added Quantum spaghettification Yes but the dipole and the external field are going to induce a surface charge density on the boundary of the sphere and which we cannot guarantee will produce a homogenous field.
Nov 17, 2015 at 22:04 comment added dorverbin The second term is related to the external field, $E_\infty$. $z$ is defined as the direction of the dipole (and the external field).
Nov 17, 2015 at 20:09 comment added Quantum spaghettification How do we know the second term is going to be a homogenous field, though, since this is another one of our assumptions that we have not proved to be true.
Nov 17, 2015 at 18:39 history answered dorverbin CC BY-SA 3.0