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Six resistor are arranged along the edge...

Six resistor are arranged along the edges of a pyramid as shown in Fig. 5.43. The values of resistances are mentioned with resistances in the figure. Find the effective between A and B.

Text Solution

Verified by Experts

The branches ADB and ACB are symmetrical relative to the
terminals A and B. Hence, the points D and C are equipotential.
Since `R_(DC) != 0 , i_(DC) = 0.` Then remove the branch DC and then the
circuit is reduced to a simpler one as shown in the figure. Then

`(1)/(R_(AB)) = (1)/(2) + (1)/(2) +(1)/(2) R_(AB) = (2)/(3)Omega`
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