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 ________
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 ________ Correct Answer 5
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.