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This looks like a fascinating, though very non-trivial, type of problem. I will send a link to a finite element analysis program which solves this kind of scenario. I recommend looking at video #1 (thin film resistance). There is an option to make it full-screen. This is just to illustrate the complexity of this type of problem.
@Kudo Shinichi
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The lines of equal current might form curved loops, like the ones shown in the video. I think you would have to use something like variational calculus to derive the current distribution, or use a finite element simulation. Do you know what the answer is supposed to be?
@Steven Chase
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By dimensional analysis and some calculations we would get it to be Ia/sigmabt , I think real answer should be of this form with some constant sir
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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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@Steven Chase Chase sir. @Aaghaz Mahajan bro @Mark Hennings sir . can u share your idea in this one ?
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This looks like a fascinating, though very non-trivial, type of problem. I will send a link to a finite element analysis program which solves this kind of scenario. I recommend looking at video #1 (thin film resistance). There is an option to make it full-screen. This is just to illustrate the complexity of this type of problem.
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Sir is it difficult to calculate resistance of this plate ?? Is it difficult to take small elements for integration?
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