JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism
A galvanometer of resistance \(G\) is converted into a voltmeter of range \(0-1\, V\) 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 \(0-2\, V\) will be
- A \(R_{1}\)
- B \(R_{1}+G\)
- C \(R_{1}-G\)
- D \(G\)
Answer & Solution
Correct Answer
(B) \(R_{1}+G\)
Step-by-step Solution
Detailed explanation
\(\Rightarrow 1=i_{g}\left(G+R_{1}\right) \quad \ldots(1)\) \(\Rightarrow 2= i _{ g }\left( R _{1}+ R _{2}+ G \right)\)\(...(2)\) \((1)/(2)\) \(\Rightarrow \frac{1}{2}=\frac{G+R_{1}}{G+R_{1}+R_{2}}\) \(G + R _{1}+ R _{2}=2 G +2 h _{1}\) \(\left( R _{2}= G + R _{1}\right)\)
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