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  • When a resistance of 5  is shunted with a moving coil galvanometer, it shows a full scale deflection for a cu

When a resistance of 5 \Omega is shunted with a moving coil galvanometer, it shows a full scale deflection for a current of 250 mA, however when 1050 \Omega resistance is connected with it in series, it gives full scale deflection for 25 volt. The resistance of galvanometer is __________ \Omega.

Option: 1

50


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & I_g(G)=\left(250-I_g\right) 5 \\ & I_g=\frac{1250}{5+G} m A \end{aligned}

For Voltmeter,

\begin{aligned} & \mathrm{V}=\mathrm{I}_{\mathrm{g}} R \\ & 25=\mathrm{I}_{\mathrm{g}}(\mathrm{G}+1050) \end{aligned}

From equation (1), 

\begin{aligned} & 25=\frac{1250 \times 10^{-3}}{G+5}(G+1050) \\ & 20(\mathrm{G}+5)=\mathrm{G}+1050 \\ & 19 \mathrm{G}=1050-100 \\ & \mathrm{G}=\frac{950}{19}=50 \Omega \end{aligned}

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