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I am a research student looking at electrical current flow through various materials although my undergraduate degree was in mechanical engineering so electrical stuff isn't my strong point.

I believe that current flow will flow through the path that offers the least resistance, and is analogous to heat flow, in other words, if you imagine a flat conductive material like the letter 'L' then the highest current density would be around the inside corner.

FEA simulations I have conducted show this, but I need to find an analytical solution to validate the results. Are there standard models to determine electrical current density in this manner? i.e. something that proves non-linear current density/distribution in the scenario described?

Any help appreciated!!

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# Current density

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