Twelve wire, each having equal resistanc...

Twelve wire, each having equal resistance r, are joined to form a cube as shown in figure.Find the equivalent resistance between the diagonally opposite points a and `f`.

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Taking circuit ABFGA,
i/3r + i/6r + i/3r = V
` rArr (2i/3r + i/6r) = V `
` rArr (5i/6r) = V `
` rArr R_eff = V/i=5/6r.`

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