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JEE Main 2023 (25 Jan, Shift 1) · Combination of Resistors

Combination of Resistors question from JEE Main 2023 (25 Jan, Shift 1)

Q36JEE Main 2023 · 25 JAN · SHIFT 1Medium

Combination of Resistors

In the given circuit, the equivalent resistance between the terminal A and B is __________ Ω\Omega.

Figure

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

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Answer: 10

  1. The thick vertical wire joins the two right-hand dots, so the 4 Ω4\ \Omega loop is shorted and the node after the top 2 Ω2\ \Omega is at the bottom-rail potential; the second vertical 2 Ω2\ \Omega is shorted too.
  2. From the node after 3 Ω3\ \Omega to the bottom rail: 2 Ω2\ \Omega (vertical) ∥\parallel 2 Ω2\ \Omega (top) =1 Ω= 1\ \Omega.
  3. RAB=3+1+6=10 ΩR_{AB} = 3 + 1 + 6 = 10\ \Omega
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