A galvanometer having a resistance of \(20\,\Omega \) and \(30\, divisions\) on both sides has figure of merit \(0.005\, ampere /division\). The resistance that should be connected in series such that it can be used as a voltmeter upto \(15\, volt\) is ........... \(\Omega\)

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Answer & Solution

Correct Answer

(C) \(80\)

Step-by-step Solution

Detailed explanation

\(\mathrm{R}_{9}=20 \,\Omega\)

\(\mathrm{N}_{\mathrm{L}}=\mathrm{N}_{\mathrm{g}}=\mathrm{N}=30\)

\(\mathrm{FOM}=\frac{1}{\phi}=0.005 \,\mathrm{A/Div}\)

Current sentivity \(=\mathrm{CS}=\left(\frac{1}{0.005}\right)=\frac{\phi}{1}\)

\(I{g_{\max }} = 0.005 \times 30\)

\(=15 \times 10^{-2}=0.15\)

\(15=0.15[20+\mathrm{R}]\)

\(100=20+R\)

\(R=80\).

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