FYKOS Year 36 Series 6 Problem 3 — repellent resistive bipyramids · FYKOS 36 #36.6.3
Physics · electromagnetism
Problem
We have a model of a regular N-gonal bipyramid made of conducting wires. The connections in the plane of symmetry each have resistance R2, whereas the connections going from one of the vertices to a point in the base have resistance R1. Determine the resistance between
main vertices (above and below the base plane),
adjacent vertices in the base plane,
opposite vertices in the base plane (the most distant ones) for even values of N.