Hi there. I'm trying to consider a system in which you have an electric field applied by a capacitor over two media, namely an air gap and then a solution containing a bivalent ionic concentration. ++++++++ air ------------- ionic media ------------- If a DC potential is applied between the top and bottom electrodes, you should be able to consider the electric field using the boundary condition supplied by conservation of charge: Layer 1 (Dielectric, air, conductivity = s1 = 0) : Layer 2 (conductivity = s2) Jn1=Jn2 Current density continuation equation (n is the normal component) E1n*s1=E2n*s2 Ohms law 0=E2n*s2 Since Jn1=0 E2n=0 Since s2 =/= 0 This implies that the vertical electric field in the ionic media must be zero. I'm having a hard time believing this. Could someone offer some physical reasoning as to why this is?