Question:
A galvanometer of resistance 20 Ω shows full scale deflection for a current of 5 mA. To convert the galvanometer into a voltmeter of range 0 to 24 V, the resistance to be connected in series to the galvanometer is
A galvanometer of resistance 20 Ω shows full scale deflection for a current of 5 mA. To convert the galvanometer into a voltmeter of range 0 to 24 V, the resistance to be connected in series to the galvanometer is
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A high resistance is connected in series with a galvanometer to convert it into a voltmeter.
Updated On: Jun 17, 2026
- 4740 Ω
- 4820 Ω
- 4800 Ω
- 4780 Ω
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
For converting a galvanometer into a voltmeter,
\[
R=\frac{V}{I_g}-G
\]
where \(G\) is galvanometer resistance.
Step 1: Substitute the given values.
\[ V=24V \] \[ I_g=5mA=5\times10^{-3}A \] \[ G=20\Omega \] \[ R=\frac{24}{5\times10^{-3}}-20 \] \[ R=4800-20 \] \[ R=4780\Omega \] \[ \boxed{4780\Omega} \]
Step 1: Substitute the given values.
\[ V=24V \] \[ I_g=5mA=5\times10^{-3}A \] \[ G=20\Omega \] \[ R=\frac{24}{5\times10^{-3}}-20 \] \[ R=4800-20 \] \[ R=4780\Omega \] \[ \boxed{4780\Omega} \]
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