A voltmeter has a resistance of $G\, ohms$ and range $V\, volts$. The value of resistance used in series to convert it into a voltmeter of range $nV$ $volts$ is
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Suppose resistance $R$ is connected in series with voltmeter as shown.
By Ohm's law
By Ohm's law
${i_g}.R = (n - 1)V$
$ \Rightarrow $ $R = (n - 1)G$ (where ${i_g} = \frac{V}{G})$
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