When a current of $5\ mA$ is passed through a galvanometer having a coil of resistance $15\ \Omega$, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to convert it into to voltmeter of range $0 - 10\ V$ is
JEE MAIN 2017, Medium
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Given : Current through the galvanometer, $i_{g}=5 \times 10^{-3} \,A$

Galvanometer resistance, $G=15\, \Omega$

Let resistance $R$ to be put in series with the galvanometer to convert it into a voltmeter.

$V=i_{g}(R+G)$

$10= 5 \times 10^{-3}(R+15) $

$ \therefore \quad  R=2000-15=1985 $

$=1.985 \times 10^{3} \,\Omega $

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