Time derivative of the electric dipole moment
= Time derivative of the electric dipole moment
For a localized charge and current distribution satisfying <charge conservation from Maxwell equations>,
$$
\dot{\mathbf p}=\int\mathbf J(x,t)\,d^3x.
$$
= Time derivative of the electric dipole moment
For a localized charge and current distribution satisfying <charge conservation from Maxwell equations>,
$$
\dot{\mathbf p}=\int\mathbf J(x,t)\,d^3x.
$$