In the network shown below, the ring has zero resistance. The equivalent resistance between the point A and B is:

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10R

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Solution

The correct option is A 2R
As the ring has no resistance, the three resistances 3R are in parallel.
The equivalent resistance for parallel combination is $R_{P} = (1 / 3 R + 1 / 3 R + 1 / 3 R)^{- 1} = R$
Now $R_{P}$ and $R$ are in series in between A and B so equivalent resistance is
$R_{A B} = R_{P} + R = R + R = 2 R$

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