FYKOS Year 26 Series 1 Problem 3 — geography for physicists · FYKOS 26 #26.1.3
Physics · mechanics · electromagnetism
Problem
Imagine that there are wires along all lines of latitude and longitude. These wires are connected at each point where they cross. Given that the resistance of one meter of this wire is ρ, calculate the resistance of this network between the nodes located at the North and South pole. Assume that the angular distance of neighboring lines of latitude/longitude is 15°.
Bonus: What would be the resistance between two nodes located on the equator and opposite of each other?