In the adjoining circuit, the battery $E_1$ has an emf of $12 \mathrm{V}$ and internal resistance While the battery $E_2$ has an emf of $2 \mathrm{V}$. If the galvanometer $G$ reads zero, then the value of the $X$ in ohms is

The current drawn from the battery shown in the figure is

All resistances shown in circuit are $2 \mathrm{\Omega }$ each. The current in the resistance between $D$ and $E$ is

In the circuit shown in figure, the values of $i_1, i_2$ and $i_3$ are

In the circuit shown, the current in $3 \mathrm{\Omega }$ resistance is

Under what conditions, current passing through the resistance $R$ can be increased by short-circuiting the battery of emf $E_2$. The internal resistances of the two batteries are $r_1$ and $r_2$, respectively.

In the arrangement shown, the magnitude of each resistance is $1 \mathrm{\Omega }$. The equivalent resistance between $O$ and $A$ given by

The figure shows, the variation of $V$ with $I$ at temperatures $T_1$ and $T_2$. $\left(T_1-T_2\right)$ is proportional to