Resistor Network
If each line segment has a resistance of , what is the total effective resistance between the two green dots?
Details and Assumptions:
- Each line segment begins and ends at nodes, where two or more line segments of different slopes/orientations meet.
- Each line segment connects to exactly two nodes (green dots count as nodes too).
The answer is 3.0357.
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1 solution
The solution below uses condensation, symmetry pruning, and delta-wye transforms. I also confirmed the solution by starting with the initial topology, assigning node voltages, and solving using node equations and linear algebra.