The electric dipole moment for a charge distribution is:

$\overrightarrow{P}={\int}_{V}\rho (\overrightarrow{x})\overrightarrow{x}{d}^{3}x$

If we imagine that $\rho =const$ on a spherical volume then it's easy to see that $\overrightarrow{P}$ depends by the origin of the frame of reference, it can be zero or something totally different. For this reason it's very difficult for me to give a physical meaning at this quantity (because it's strange that depends by the origin).

$\overrightarrow{P}={\int}_{V}\rho (\overrightarrow{x})\overrightarrow{x}{d}^{3}x$

If we imagine that $\rho =const$ on a spherical volume then it's easy to see that $\overrightarrow{P}$ depends by the origin of the frame of reference, it can be zero or something totally different. For this reason it's very difficult for me to give a physical meaning at this quantity (because it's strange that depends by the origin).