How to find a hollow cuboid's resistance

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To find the resistance of a hollow cuboid between two points on the same face, numerical methods are necessary due to the non-uniform distribution of the electric field and current. A simple formula is unlikely to exist, and empirical methods may be needed for specific industrial applications. The resistance will change if the cuboid is crumbled, as this breaks the material into pieces, but will remain the same if it is merely crumpled without breaking. Conducting an experiment using household materials, like aluminum foil and a multimeter, is suggested for practical measurement. Understanding these concepts requires careful consideration of the cuboid's deformation and its impact on resistance.
hackhard
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how to find a hollow cuboid's resistance between two points on same face but not lying on the edges. the line joining 2 points is parallel to the length of the cuboid.
resistivity is uniform
another related doubt - will resistance between those same points change if the cuboid is deformed (the box is crumbled)
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If you are looking for a simple formula I am afraid you won't find it. The distribution of electric field and current is not uniform. And they depend on each other.
You probably need numerical methods to solve the differential equations.
Maybe some empirical formula may be found, if such is used in some industrial application.
 
hackhard said:
will resistance between those same points change if the cuboid is deformed (the box is crumbled)
 
hackhard said:
will resistance between those same points change if the cuboid is deformed (the box is crumbled)
"Crumbled" means broken into pieces, as when a cookie is broken into crumbs. Answer: Yes
"Crumpled" means deformed or its shape changed without breaking off any pieces. Answer: No. If surfaces don't touch each other and the material is not stretched.
 
I'm not so sure about this. As the theoretical treatment is very complicated, I suggest to simply to an experiment, measuring the resistance. I guess it's not so difficult to do qualitatively with house-hold means. Just use aluminum foil and wrap a cubic box (easily tinkered with some cardboard. Also nearly any modern digital multimeter has an ohm-meter mode :-).
 
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