. In the network shown, each resistance is equivalent to R


In the network shown, each resistance is equivalent to R. The equivalent resistance between points A and B is 

equivalent resistance between points A and B

A. R/3

B. 2R/3

C. R

D. 4R/3

Best Answer

Correct Option is: B.

Sol: If a potential is applied across A and B, due to symmetry, the points C, O and D will have same potentials. We can therefore join all these points without affecting current in any branch. The network then reduces to

potential is applied across A and B

Therefore, the equivalent resistance is

Req = R/3 + R/3 = 2R/3

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