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Twelve 6 ohm resistors are used to form an edge of a cube. The resistance between two diagonally opposite corner of the cube (in ohm) is ________(a) 5/6(b) 6/5(c) 5(d) 6This question was posed to me in quiz.My question is based upon Basic Concepts in division EDC Overview of Electronic Devices & Circuits

Answer»

Correct choice is (c) 5

The BEST explanation: The current I will be DISTRIBUTED to the cube branches symmetrically.

 Connecting a VOLTAGE source Vab across the TERMINALS and applying kvl in the outer loop, we have

=> -Vab + (i/3+i/6+i/3)*R = 0(where R is given as 6ohm)

=> Vab = 5i

=> Req=Vab/i, which gives Req = 5OHM.



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