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

Option: 1

R / 3


Option: 2

2 \mathrm{R} / 3


Option: 3

R


Option: 4

4 \mathrm{R} / 3


Answers (1)

best_answer

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

Therefore, the equivalent resistance is

R_{\text {eq }}=\frac{R}{3}+\frac{R}{3}=\frac{2 R}{3}

Hence, answer (b) is correct

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Anam Khan

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