The diagram below shows that the resistance between the terminals A and B is determined by a motif of three resistors R 2 R 1 R 2 repeated an infinite number of times Determine the ratio R 1 R 2 such that the rate at which Joule heat is produced by all the R 1 resistors combined is a fraction of the heat produced by the entire circuit Find the largest value can attain A B ww R R wwww ww R R R ww ww R R R R

Question: The diagram below shows that the resistance between the terminals A and B is determined by a motif of three resistors R 2 R

The diagram below shows that the resistance between the terminals A and B is determined by a motif of three resistors R₂− 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.

A B ww R R wwww ww R R R ww ww

A B ww R R wwww ww R R R ww ww R R R R

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