Current Electricity

JEE Main level, single correct, medium

350 of 380

Question 350 of 380

A galvanometer of resistance GG is converted into a voltameter of range 0−1V0-1V by connecting a resistance RR in series with it. The additional resistance that should be connected in series with R1{R}_{1} to increase the range of the voltmeter to 0−2V0-2V will be :

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Answer: (D) R1+G{R}_{1}+G

ig(R1+G)=1{i}_{g}\left({R}_{1}+G\right)=1
ig(R1+G+R2)=2{i}_{g}\left({R}_{1}+G+{R}_{2}\right)=2
1R1+G(R1+G+R2)=2\dfrac{1}{{R}_{1}+G}\left({R}_{1}+G+{R}_{2}\right)=2
R1+G+R2=2R1+2G{R}_{1}+G+{R}_{2}=2{R}_{1}+2G
R2=R1+G{R}_{2}={R}_{1}+G

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