Moving Charges And Magnetism Ques 2

2. Current sensitivity of a moving coil galvanometer is $5$ $ \mathrm{div} / \mathrm{mA}$ and its voltage sensitivity (angular deflection per unit voltage applied) is $20 $ $\mathrm{div} / \mathrm{V}$. The resistance of the galvanometer is

[2018]

(a) $40 $ $\Omega$

(b) $25 $ $\Omega$

(c) $500 $ $\Omega$

(d) $250$ $ \Omega$

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Answer:

Correct Answer: 2.(d)

Solution: (d) Current sensitivity of moving coil galvanometer

$ \mathrm{I}_{\mathrm{s}}=\frac{N B A}{C} $ $\quad$ ……..(i)

Voltage sensitivity of moving coil galvanometer,

$ \mathrm{V}_{\mathrm{s}}=\frac{N B A}{C R_G} $ $\quad$ ……..(ii)

Dividing eqn. (i) by (ii)

Resistance of galvanometer

$ \mathrm{R}_{\mathrm{G}}=\frac{I_s}{V_s}=\frac{5 \times 1}{20 \times 10^{-3}}=\frac{5000}{20}=250 $ $\Omega $