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In an experiment on a circuit as shown in the figure, the voltmeter shows \(8 \mathrm{~V}\) reading. The resistance of the voltmeter is,

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Verified Answer
The correct answer is:
\(160 \Omega\)
Hint: Voltage across \(20 \Omega=2 \mathrm{~V}\)
Main current \(=\frac{2}{20}=0.1 \mathrm{~A}\)
Current through \(160 \Omega=\frac{8}{160}=\frac{1}{20}=0.05 \mathrm{~A}\)
Also, \(8 \mathrm{~V}=0.05 \times \mathrm{R}\)
\(R=\frac{8}{0.05}=160 \Omega\)
Main current \(=\frac{2}{20}=0.1 \mathrm{~A}\)
Current through \(160 \Omega=\frac{8}{160}=\frac{1}{20}=0.05 \mathrm{~A}\)
Also, \(8 \mathrm{~V}=0.05 \times \mathrm{R}\)
\(R=\frac{8}{0.05}=160 \Omega\)
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