Electrical resistance between pairs of vertices of a conducting cube and continuum limit for a cubic resistor network
Résumé
A method is given of determining analytically the driving-point resistance between any pair of vertices of: (i) a homogeneous conducting cube, (ii) a N X N X N cubic lattice of identical resistors. For the latter, the limit N → ∞ is considered and the condition of the ohmic equivalence between these two systems is investigated.
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