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JEE Main 2021 (20 Jul, Shift 2) · Combination of Resistors

Combination of Resistors question from JEE Main 2021 (20 Jul, Shift 2)

Q58JEE Main 2021 · 20 JUL · SHIFT 2Medium

Combination of Resistors

In the given figure switches S1 and S2 are in open condition. The resistance across ab when the switches S1 and S2 are closed is _____________ $\Omega$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 10

With $S_1$ and $S_2$ closed, the top and bottom rails are joined at both switch points, giving three parallel pairs in series.
$12 \parallel 6 = 4$ , $4 \parallel 4 = 2$ , $6 \parallel 12 = 4\ \Omega$
$R_{ab} = 4 + 2 + 4 = 10\ \Omega$

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