Infinite Face Centered Cubic Network of Identical Resistors
J. H. Asad
TL;DR
This paper derives a rational expression for the equivalent resistance between two points in an infinite face-centered cubic resistor network, analyzes its asymptotic behavior, and provides calculated resistance values.
Contribution
It presents a new rational formula for the equivalent resistance in an infinite FCC resistor network and investigates its asymptotic properties.
Findings
Derived a rational expression for the resistance
Analyzed the asymptotic behavior of resistance
Provided calculated resistance values
Abstract
The equivalent resistance between the origin and any other lattice site, in an infinite Face Centered Cubic network consisting from identical resistors, has been expressed rationally in terms of the known value and . The asymptotic behavior is investigated, and some calculated values for the equivalent resistance are presented.
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Taxonomy
TopicsGraph theory and applications · Interconnection Networks and Systems · Neural Networks and Applications