The deflection in moving coil galvanometer falls from 25 divisions to 5 divisions when a shunt of 24 Ω is applied. The resistance of galvanometer coil will be: (a) 48 Ω (b) 100 Ω (c) 96 Ω (d) 12 Ω

Answer: (c). Deflection falls from 25 to 5 divisions, so Ig = I/5 and the shunt carries 4I/5. G and S are in parallel: Ig G = (I - Ig)S ⇒ I/5G = 4I/5(24) G = 4 × 24 = 96 Ω So the answer is (c) 96 Ω.

The deflection in moving coil galvanometer falls from 25 divisions to… | JEE Main 2024 (29 Jan, Shift 1)

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Kirchhoff's Laws & Measuring Instruments

The deflection in moving coil galvanometer falls from 25 divisions to 5 divisions when a shunt of $24\ \Omega$ is applied. The resistance of galvanometer coil will be:

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Answer: (c)

Deflection falls from 25 to 5 divisions, so $I_g = \frac{I}{5}$ and the shunt carries $\frac{4I}{5}$ .
G and S are in parallel: $I_g G = (I - I_g)S \Rightarrow \frac{I}{5}G = \frac{4I}{5}(24)$
$G = 4 \times 24 = 96\ \Omega$
So the answer is (c) $96\ \Omega$ .

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