A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If…

A galvanometer has a coil of resistance 100 ohm and gives a full scale deflection for 30 mA current. If it is to work as a voltmeter of 30 volt range, the resistance required to be added will be
A 1000 $\Omega$
B 900 $\Omega$
C 1800 $\Omega$
D 500 $\Omega$

Detailed Solution

A galvanometer is converted into a voltmeter by connecting a high resistance R in series with it.
At full scale: $V = I_g(G + R)$
$R = \frac{V}{I_g} - G$
$R = \frac{30}{30\times10^{-3}} - 100 = 1000 - 100$
$R = 900\ \Omega$

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