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Q.The range of a voltmeter is 10 V and its internal resistance is 50 Ω50\ \Omega. To convert it to a voltmeter of range 15 V, how much resistance is to be added?

Manipur CohsemCOHSEM Manipur Higher Secondary Board 2023Subjective· 2mImportance★★★★★
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R=(V2V1−1)GR = \left(\dfrac{V_2}{V_1}-1\right)G.

To extend the range of a voltmeter of resistance GG and full-scale range V1V_1 to a new range V2V_2, a series resistance RR must be added, given by R=(V2V1−1)GR = \left(\dfrac{V_2}{V_1}-1\right)G (since the full-scale current Ig=V1/GI_g = V_1/G must now correspond to V2V_2 across G+RG+R):

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