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Effective Dielectric constant of two materials

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pnsakanjankumar

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Hi,
The problem is I need to find the surface potential where in the electric fields are elliptic (Fringing fields). I tried to find the solution when there were one dielectric by using con-formal mapping technique which i succeeded. But the problem here is there are two dielectrics
permittivity of 1 >permittivity of 2.
Therefore There is a possible divergence at the interface.
So in order to use con-formal mapping technique i should find effective dielectric constant.
I want to know if there is any of finding effective permittivity between the two perpendicular lines(Yellow marked)
:-:)-(
I have attached the picture.
Two Dielectrics Interface1.JPG

Thanks in Advance
 

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