arXiv subjects

Chinh D. Tran

Publications and source records attributed to Chinh D. Tran.

2 recordsLinked to original sources

arXiv2021

Elementary Methods for Infinite Resistive Networks with Complex Topologies

Finding the equivalent resistance of an infinite ladder circuit is a classical problem in physics. We expand this well-known challenge to new classes of network topologies, in which the unit cells are much more entangled together. The exact analytical results there can still be obtained with elementary methods. These topology classes will add layers of complexity and much more diversity to a very popular kind of physics puzzles for teachers and students.

physics.class-ph↗

arXiv2020

Infinite AC Ladder with a "Twist"

The infinite AC ladder network can exhibit unexpected behavior. Entangling the topology brings even more surprises, found by direct numerical investigation. We consider a simple modification of the ladder topology and explain the numerical result for the complex impedance, using linear algebra. The infinity limit of the network's size corresponds to keeping only the eigenvectors of the transmission matrix with the largest eigenvalues, which can be viewed as the most dominant modes of electrical information that propagate through the network.

physics.ed-ph↗