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Exact calculation of electrical current from current density

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Hello everybody,

I am using comsol to model a bipolar probe with three surfaces : Conductive surface forced to 0V, conductive surface forced to 10V and insulation surface beetween the two conductive surfaces. The probe is put on sea water.

So when i resolve my system I have streamlines between the two condictive surfaces.

Now, I want to calculate the current on each conductive surface from the current density integration. I use the following expression ( ec.Jxnx+ec.Jyny+ec.Jz*nz ).

I have a difference between the current IN and the current OUT about 1%. So I change the mesh to have a more accurate result but I realized that the current is totaly different comparing to the first mesh. So for one kind of mesh I have different current values.

Someone can help me if he have any idea.

Thank you very much


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