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Twelve equal wires, each of resistance r ohm are connected so as to form a skeleton cube. Find the equivalent resistance between the diagonally opposite points 1 and 7.

Answer»

Solution :Connect a source between points 1 and 7. The network is symmetricals about the DIAGONAL 1 - 7. Therefore current in res istors are distributed symmetrically about the diagonal. The current distribution is SHOWN in figure Choose a close LOOP `1-2-3-7-9-10-1`, we have
`-r(i)/(3)r(i)/(6)r(i)/(3)+V=0 (or) (V)/(i)=(5)/(6)r (or) R_(17)=(V)/(i)=(5)/(6)r`


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