A voltmeter has 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
Show Hint
- \(nG\)
- \((n-1)G\)
- \(\dfrac{G}{n}\)
- \(\dfrac{G}{(n-1)}\)
The Correct Option is B
Solution and Explanation
To extend the range of a voltmeter, a series resistance (multiplier) is added. The full-scale deflection current remains the same.
Step 2: Detailed Explanation:
Full scale current: \(I_g = V/G\)
For new range \(nV\): \(nV = I_g(G + R_s)\) \[ nV = \frac{V}{G}(G + R_s) \Rightarrow nG = G + R_s \Rightarrow R_s = (n-1)G \]
Step 3: Final Answer:
Series resistance \(= \mathbf{(n-1)G}\).
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