Question 75 of 380

In the given figure switches ${S}_{1}$ and ${S}_{2}$ are in open condition. The resistance across $ab$ when the switches ${S}_{1}$ and ${S}_{2}$ are closed is ________$\Omega .$

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Answer: 10

when switch ${S}_{1}$ and ${S}_{2}$ are closed

$\left(\dfrac{12\times 6}{12+6}\right)+2+\left(\dfrac{6\times 12}{6+12}\right)$
$\dfrac{72}{18}+2+\dfrac{72}{18}=4+2+4=10\Omega$

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