The diagram below shows that the resistance between the terminals A and B is determined by a

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The diagram below shows that the resistance between the terminals A and B is determined by a motif of three resistors R− R1 − R2 repeated an infinite number of times. Determine the ratio R1/R2 such that the rate at which Joule heat is produced by all the R1 resistors combined is a fraction α of the heat produced by the entire circuit. Find the largest value α can attain.

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