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JEE Main 2024 (9 Apr, Shift 1) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2024 (9 Apr, Shift 1)

Q45JEE Main 2024 · 9 APR · SHIFT 1Easy

Kirchhoff's Laws & Measuring Instruments

A galvanometer has a coil of resistance 200 Ω200\ \Omega with a full scale deflection at 20 μA20\ \mu\text{A}. The value of resistance to be added to use it as an ammeter of range (0−20) mA(0 - 20)\text{ mA} is:

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Answer: (c)

  1. A shunt is needed: S=IgGI−IgS = \frac{I_g G}{I - I_g}.
  2. S=20×10−6×20020×10−3−20×10−6=4×10−319.98×10−3≈0.20 ΩS = \frac{20 \times 10^{-6} \times 200}{20 \times 10^{-3} - 20 \times 10^{-6}} = \frac{4 \times 10^{-3}}{19.98 \times 10^{-3}} \approx 0.20\ \Omega
  3. So the answer is (c) 0.20 Ω0.20\ \Omega.
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