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?