$A$ $50\, \Omega$ galvanometer gets full-scale deflection when a current of $0.01\, A$ passes through the coil. When it is converted to a $10\, A$ ammeter,the shunt resistance is ........... $\Omega$.

$A$ galvanometer of resistance $50 \Omega$ gives a full-scale deflection for a current of $5 \times 10^{-4} \text{ A}$. The resistance that should be connected in series with the galvanometer to read $3 \text{ V}$ is: (in $\Omega$)

$A$ galvanometer acting as a voltmeter should have . . . . . . .

An ammeter gives full-scale deflection when a current of $2 \, A$ flows through it. The resistance of the ammeter is $12 \, \Omega$. If the same ammeter is to be used for measuring a maximum current of $5 \, A$,then the ammeter must be connected with a resistance of:

$A$ galvanometer having a resistance of $20\,\Omega$ and $30\,divisions$ on both sides has a figure of merit of $0.005\,A/division$. The resistance that should be connected in series so that it can be used as a voltmeter up to $15\,V$ is ........... $\Omega$.

Derive the expression for the shunt resistance required to increase the current-measuring capacity of a galvanometer by a factor of $n$.