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  • A galvanometer of resistance is converted into a voltmeter of range by connecting a resistance 

A galvanometer of resistance G is converted into a voltmeter of range 0-1V by connecting a resistance R_{1} in series with it, The additional resistance that should be connected in series with R_{1} to increase the range of the voltmeter to 0-2V will be :
Option: 1 G  
Option: 2 R_{1}
Option: 3 R_{1}-G
Option: 4 R_{1}+G

Answers (1)

best_answer

\Rightarrow 1=i_{\mathrm{g}}\left(\mathrm{G}+\mathrm{R}_{1}\right)

\begin{aligned} &\Rightarrow 2=i_{\mathrm{g}}\left(\mathrm{R}_{1}+\mathrm{R}_{2}+\mathrm{G}\right)\\ &\text Divide \ { (1) } \ by \ (2)\\ &\Rightarrow \frac{1}{2}=\frac{G+R_{1}}{G+R_{1}+R_{2}}\\ &\mathrm{G}+\mathrm{R}_{1}+\mathrm{R}_{2}=2 \mathrm{G}+2 \mathrm{~h}\\ &\left(\mathrm{R}_{2}=\mathrm{G}+\mathrm{R}_{1}\right) \end{aligned}

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Deependra Verma

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