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JEE Main 2021 (31 Aug, Shift 2) · Combination of Resistors

Combination of Resistors question from JEE Main 2021 (31 Aug, Shift 2)

Q55JEE Main 2021 · 31 AUG · SHIFT 2Medium

Combination of Resistors

The equivalent resistance of the given circuit between the terminals A and B is:

Figure

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Answer: (d)

  1. The left vertical wire shorts the 5 Ω5\ \Omega, so the top-left corner is at B's potential.
  2. The middle node joins B through 2 Ω2\ \Omega (vertical) and 2 Ω2\ \Omega (top-left), giving 1 Ω1\ \Omega; with the next 2 Ω2\ \Omega in series: 3 Ω3\ \Omega.
  3. This 3 Ω3\ \Omega is in parallel with 3∥3=1.5 Ω3 \parallel 3 = 1.5\ \Omega: RAB=3×1.54.5=1 ΩR_{AB} = \dfrac{3 \times 1.5}{4.5} = 1\ \Omega.
  4. So the answer is (d) 1 Ω1\ \Omega.
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