In the above arrangement, each side of the cube has 1 Ω resistance and it is known that the effective resistance between A and B is 5 9 Ω . Now, if the resistor between A and B is removed, then find the new effective resistance (in Ω ) between the same two points. If your answer is K, mark 4K as answer after rounding off to nearest integer.

Question

In the above arrangement, each side of the cube has 1 Ω resistance and it is known that the effective resistance between A and B is 5 9 Ω . Now, if the resistor between A and B is removed, then find the new effective resistance (in Ω ) between the same two points. If your answer is K, mark 4K as answer after rounding off to nearest integer.,

MARKS App · Accepted Answer

i. For a cube of resistors each of resistance R the equivalent resistance between two edges on the same face is R e q = 5 R 9 ii. If A B is removed, assuming the equivalent resistance between remaining resistors is x , 1 R e q = 1 R + 1 x R e q = R x R + x ∴ 5 9 = 1 ( x ) 1 + x = x 1 + x . . . . ∵ R = 1 Ω ∴ 5 ( 1 + x ) = 9 x ∴ 5 + 5 x = 9 x ∴ 5 = 4 x ∴ x = 5 4 Ω ∴ x = 1 . 25 Ω

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