arXiv:0905.0054physics.gen-ph
Capacitance between Two Points in an Infinite Grid
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Abstract
The capacitance between two adjacent nodes on an infinite square grid of identical capacitors can easily be found by superposition, and the solution is found by explotting the symmetry of the grid. The mathematical problem presented in this work involves the solution of an infinite set of linear, inhomogenous difference equations which are solved by the method of separation of variables.
Luckily the grid tends to infinite resistance in the limit. Also interesting -> Infinite grid of capacitors (tends to 0 at infinity): http://arxiv.org/pdf/0905.0054.pdf Infinite sphere resistance (tends to infinity): http://physics.stackexchange.com/questions/48439/resistance-...
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