Question:

The voltmeter has range $10\text{ V}$ and its internal resistance is $50\Omega$. To increase the range of voltmeter to $15\text{ V}$ , the resistance which is to be connected is

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To increase voltmeter range, add resistance in series. To increase ammeter range, add resistance in parallel.
Updated On: May 14, 2026
  • $125\Omega$ resistance in parallel
  • $125\Omega$ resistance in series
  • $25\Omega$ resistance in parallel
  • $25\Omega$ resistance in series
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The Correct Option is D

Solution and Explanation

Concept:
To increase the range of a voltmeter, a high resistance is connected in series. ip

Step 1:
Find full-scale current of the voltmeter.
Given original range: \[ V=10\text{ V}, \qquad R=50\Omega \] So full-scale current is: \[ I=\frac{V}{R}=\frac{10}{50}=0.2\text{ A} \] ip

Step 2:
Find required total resistance for 15 V range.
For the same full-scale current: \[ R_{\text{total}}=\frac{15}{0.2}=75\Omega \] ip

Step 3:
Find extra resistance to be connected.
\[ R_{\text{extra}}=75-50=25\Omega \] This resistance must be connected in series. ip Hence, the correct answer is:
\[ \boxed{(D)\ 25\Omega \text{ in series}} \]
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