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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.

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air

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ionic media

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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?

++++++++

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?

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