FYKOS Year 31 Series 4 Problem 4 — solve it yourself · FYKOS 31 #31.4.4

Physics · electromagnetism

Problem

We have a black box with three outputs (A, B, and C). We know that it consists of

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resistors with the same resistance but we don't know the circuit diagram. So we measure the resistance between each pair of outputs

R\_{AB} = 3 \mathrm{\Omega }

R\_{BC} = 5 \mathrm{\Omega }

R\_{CA} = 6 \mathrm{\Omega }

. Your task is to find the minimum possible

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and calculate the corresponding resistance of one resistor.