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JEE Main 2022 (25 Jun, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2022 (25 Jun, Shift 2)

Q114JEE Main 2022 · 25 JUN · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

If n represents the actual number of deflections in a converted galvanometer of resistance G and shunt resistance S. Then the total current I when its figure of merit is K will be:

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Answer: (d)

  1. Current through galvanometer Ig=nKI_g = nK (figure of merit KK = current per division).
  2. Shunt relation: Ig=ISG+SI_g = I\frac{S}{G + S}
  3. I=nK(G+S)SI = \frac{nK(G + S)}{S}
  4. So the answer is (d).
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