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MHT CET 2026 (12 May, Shift 2) · Moving Coil Galvanometer, Ammeter & Voltmeter

Moving Coil Galvanometer, Ammeter & Voltmeter question from MHT CET 2026 (12 May, Shift 2)

Q8MHT CET 2026 · 12 MAY · SHIFT 2Medium

Moving Coil Galvanometer, Ammeter & Voltmeter

When current II is passed through galvanometer coil, it is deflected through 16∘16^\circ. But when it is shunted by a resistance of 8 Ω8\ \Omega, the same current produces a deflection of 4∘4^\circ. The resistance of the galvanometer is

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Answer: (c)

  1. Deflection ∝\propto galvanometer current, so with the shunt Ig=416I=I4I_g = \frac{4}{16} I = \frac{I}{4}.
  2. Current divider: Ig=SG+SI⇒8G+8=14I_g = \frac{S}{G+S} I \Rightarrow \frac{8}{G+8} = \frac{1}{4}
  3. G+8=32⇒G=24 ΩG + 8 = 32 \Rightarrow G = 24\ \Omega
  4. So the answer is (c) 24 Ω24\ \Omega.
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