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JEE Main 2021 (31 Aug, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2021 (31 Aug, Shift 1)

Q125JEE Main 2021 · 31 AUG · SHIFT 1Medium

Kirchhoff's Laws & Measuring Instruments

The voltage drop across 15Ω\Omega resistance in the given figure will be ______________ V.

Figure

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

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Answer: 6

  1. Upper branch: (4∥4)+2+(15∥10)=2+2+6=10 Ω(4\|4) + 2 + (15\|10) = 2 + 2 + 6 = 10\ \Omega.
  2. Lower branch: (8∥8)+(12∥12)=4+6=10 Ω(8\|8) + (12\|12) = 4 + 6 = 10\ \Omega.
  3. The two branches in parallel give 5 Ω5\ \Omega; with the 1 Ω1\ \Omega: R=6 ΩR = 6\ \Omega, I=126=2 AI = \dfrac{12}{6} = 2\text{ A}.
  4. Each branch carries 1 A1\text{ A}, so the drop across the 15 Ω∥10 Ω15\ \Omega\|10\ \Omega pair is 1×61 \times 6.
  5. Voltage across 15 Ω15\ \Omega =6 V= 6\text{ V}
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