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A galvanometer of resistance, G is shunted by a resistance S ohm. To keep the main current in the circuit unchanged, the resistance to be put in series with the galvanometer is

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$\frac{S^{2}}{(S + G)}$

$\frac{S G}{(S + G)}$

$\frac{G^{2}}{(S + G)}$

$\frac{G}{(S + G)}$

answer is C.

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Detailed Solution

$\frac{G S}{G + S} + R_{S} = G \Rightarrow R_{S} = \frac{G^{2}}{G + S}$

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