FYKOS Year 39 Series 3 Problem 2 — powerful resistance · FYKOS 39 #39.3.2

Physics · electromagnetism

Problem

We have a circuit with resistors arranged as shown in the diagram. The parallel configuration consists of infinitely many branches. In the

N

-th branch, there are

2^N

resistors connected in series, each with a resistance of

R = 1\,\mathrm{\Omega}

. What is the total resistance between points A and B?