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JEE Main 2023 (11 Apr, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2023 (11 Apr, Shift 2)

Q82JEE Main 2023 · 11 APR · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

Figure

The current flowing through R2{}_{2} is:

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Answer: (b)

  1. Between C and A: R3=6 ΩR_3 = 6\ \Omega in parallel with R2+R1=6 ΩR_2 + R_1 = 6\ \Omega gives 3 Ω3\ \Omega.
  2. D to A: (R4+3)=6 Ω(R_4 + 3) = 6\ \Omega in parallel with R7=3 ΩR_7 = 3\ \Omega gives 2 Ω2\ \Omega.
  3. Path E–D–A: R5+2=4 ΩR_5 + 2 = 4\ \Omega across 88 V, so VDA=8×24=4V_{DA} = 8 \times \frac{2}{4} = 4 V.
  4. VCA=4×36=2V_{CA} = 4 \times \frac{3}{6} = 2 V, so the current in R2R_2 (via R2+R1=6 ΩR_2 + R_1 = 6\ \Omega) is 26\frac{2}{6}.
  5. So the answer is (b) 13\frac{1}{3} A.
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