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JEE Main 2024 (29 Jan, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2024 (29 Jan, Shift 2)

Q63JEE Main 2024 · 29 JAN · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

In the given circuit, the current flowing through the resistance 20 Ω20\ \Omega is 0.3 A0.3\text{ A}, while the ammeter reads 0.9 A0.9\text{ A}. The value of R1R_1 is _________ Ω\Omega.

Figure

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

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Answer: 30

  1. All three resistors are in parallel: V=0.3×20=6 VV = 0.3 \times 20 = 6\text{ V}.
  2. Current in 15 Ω=615=0.4 A15\ \Omega = \dfrac{6}{15} = 0.4\text{ A}.
  3. The ammeter reads the total: I1=0.9−0.3−0.4=0.2 AI_1 = 0.9 - 0.3 - 0.4 = 0.2\text{ A}
  4. R1=60.2=30 ΩR_1 = \dfrac{6}{0.2} = 30\ \Omega
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