Hello Guys According to Classical electrostatics, when you apply a voltage across a capacitor, +Q and -Q charges are induced on a delta region at the interface of the dielectric and the metal electrode. The electric field inside the dielectric is finite and constant while the electric field in the metal is zero. However, it has been known for quite some time that due to imperfect electronic screening in real metal electrodes, the charges +Q and -Q are not confined to a delta region at the metal-dielectric interface but are infact distributed in a finite region of space in the metal. This also results in electric field penetration inside the electrodes i.e. due to the distribution of charge inside the metal, electric fields exist inside the metal electrodes. In addition to this, i have seen some recent ab initio simulation results which seems to show that the electric field is continuos at the metal-dielectric interface (Stengel and Spaldin, Nature 443, 679 (2006)). We know that the potential has to be continuos at the metal-dielectric interface but is it possible that the electric field stays at a nearly constant value inside most of the dielectric but has steep gradients at the metal-dielectric interface so that it also remains continuos at the metal-dielectric interface. Is there any physical argument for this?