Electrostatics MOC
Electrostatics is a special case of electrodynamics where the electric field is time-independent and there is no Magnetic field, i.e.
Electrostatics was established empirically by Coulomb’s law, but of course it is fully encoded in Maxwell’s equations whose differential form become
whence we have integral forms
consequentially the charge continuity equation becomes
Since the Poynting vector and thus momentum density vanishes, no energy nor momentum is transported by the fields and no momentum is stored by the fields.
Potential
An electrostatic system is completely describes by the electric potential
hence solving Poisson’s equation for sources localized to
see also Multipole expansion of the electrostatic potential