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Q.A galvanometer has a resistance of 30Ω and its full scale deflection current is 20 microampere (μA). What resistance should be added to it to have a range 0-10 volt?

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2024Subjective· 2mImportance★★★★★
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Converting a galvanometer to a voltmeter needs a large series resistance.

To convert a galvanometer (resistance G=30 ΩG=30\,\Omega, full-scale current Ig=20 μAI_g=20\ \mu\text{A}) into a voltmeter of range 00–1010 V, a resistance RR is connected in series with it, such that the full-scale current flows when the full 10 V is applied across the series combination:

V=Ig(G+R)⇒R=VIg−GV = I_g(G+R) \quad\Rightarrow\quad R = \frac{V}{I_g}-G …

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