Question:
A moving coil galvanometer has $150$ equal divisions. Its current sensitivity is $10$ divisions per milliampere and voltage sensitivity is $2$ divisions per millivolt. In order that each division reads $1 V$, the resistance in Ohm?s needed to be connected in series with the coil will be :
A moving coil galvanometer has $150$ equal divisions. Its current sensitivity is $10$ divisions per milliampere and voltage sensitivity is $2$ divisions per millivolt. In order that each division reads $1 V$, the resistance in Ohm?s needed to be connected in series with the coil will be :
Updated On: Jul 5, 2022
- $10^3$
- $10^5$
- $99995$
- $9995$
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The Correct Option is D
Solution and Explanation
Full scale deflection current
$=\frac{150}{10}mA=15\,mA$
Full scale deflection voltage
$=\frac{150}{2} \,mV=72\,mV$
Galvanometer resistance $G=\frac{75mV}{15mA}=5\Omega$
Required full scale deflection voltage,
$V = 1\times150 = 150\times V$
Let resistance to be connected in series is $R.$
$\Rightarrow V=I_{g}\left(R+G\right)$
$\therefore 150=15\times10^{-3}\left(R+5\right)$
$\Rightarrow 10^{4}=R+5$
$\Rightarrow R =10000-5 = 9995$
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Concepts Used:
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Magnetism:
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