When a resistance of $200 \Omega$ is connected in series with a galvanometer of resistance $G$,its range is $V$. To triple its range,a resistance of $2000 \Omega$ is connected in series. The value of $G$ is (in $Omega$)

$A$ galvanometer of $100\,\Omega$ resistance gives full-scale deflection when $10\,mA$ of current is passed. To convert it into a $10\,A$ range ammeter,the resistance of the shunt required will be ............... $\Omega$.

The value of shunt resistance,that allows only $10 \%$ of the main current to pass through a galvanometer of resistance $99 \Omega$,is (in $Omega$)

$A$ galvanometer has resistance $G \ \Omega$ and $I_g$ is the current flowing through it which produces full-scale deflection. $S_1$ is the value of the shunt which converts it into an ammeter of range $0$ to $3I$,and $S_2$ is the shunt value which converts it into an ammeter of range $0$ to $4I$. The ratio $S_2:S_1$ is:

Two moving coil galvanometers,$X$ and $Y$,have coils with resistances $10 \Omega$ and $14 \Omega$,cross-sectional areas $4.8 \times 10^{-3} \ m^2$ and $2.4 \times 10^{-3} \ m^2$,and number of turns $30$ and $45$ respectively. They are placed in magnetic fields of $0.25 \ T$ and $0.50 \ T$ respectively. Find the ratio of their current sensitivities and the ratio of their voltage sensitivities.

$A$ galvanometer has a coil of resistance $200 \Omega$ with a full scale deflection at $20 \mu A$. The value of resistance to be added to use it as an ammeter of range $(0-20) mA$ is: (in $Omega$)