Consider the circuits shown in the figure. Both the circuits draw the same current from the battery,but the current through $R$ in the second circuit is $\frac{1}{10}$th of the current through $R$ in the first circuit. If $R = 11 \ \Omega$,the value of $R_1$ is ................ $\Omega$.

The equivalent resistance between points $A$ and $B$ of an infinite network of resistances each of $1\,\Omega$ connected as shown,is

In the circuit shown,$n$-identical resistors $R$ are connected in parallel $(n > 1)$ and the combination is connected in series to another resistor $R_0$. In the adjoining circuit,$n$ resistors of resistance $R$ are all connected in series along with $R_0$. The batteries in both circuits are identical and the net power dissipated in the $n$ resistors in both circuits is the same. The ratio $R_0 / R$ is

In the circuit shown in the figure,the potential difference between points $A$ and $B$ is........

In the figure shown,the total resistance between $A$ and $B$ is ............. $\Omega$.

An ideal cell of emf $10\, V$ is connected in the circuit shown in the figure. Each resistance is $2\, \Omega$. The potential difference (in $V$) across the capacitor when it is fully charged is