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When a resistance of $5 Ω$ is shunted with a moving coil galvanometer it shows a full scale deflection for a current of 250mA, when $1050 Ω$ resistance is connected with it in seies it gives full scale deflection for 25V. The resistance of galvanometer is _____ $Ω$ .

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answer is 50.

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Detailed Solution

$I = I_{g} [1 + \frac{G}{5}] \Rightarrow 250 \times 10^{- 3} = I_{g} [1 + \frac{G}{5}] ..... 1$

$V = I_{g} [G + S] \Rightarrow 25 = I_{g} [1050 + G] ....... 2$

on solving $G = 50 Ω$

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