1.

Twelve equal resistance are connected as shown in the diagram. Find the effective resistance between A and B

Answer»

SOLUTION :MNO and POQ are two triangle with equal resistance between the vertices. So each is equivalent to `(2R)/(3)` between M and N or P and Q. So three resistors are in parallel between A and B. Whose resistance are
`(R+(2R)/(3)+R),2R and (R+(2R)/(3)+R)` respectively
`therefore (1)/(R_("EFF"))=(3)/(8R)+(1)/(2R)+(3)/(8R)=(10)/(8R)RARR R_("eff")=(4R)/(5)`


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