The current through $12 \mathrm{\Omega }$ resistance is zero. The value of $E$ (in Volt) is :

Calculate ratio of $\left(i_1+i_2\right)$ and $i_3$ in following diagram. If the ratio is $\frac{x}{6}$, what is the value of $x?$

In the circuit shown, current through $25\mathrm{}\mathrm{V}$ cell is

The potential difference between points $A$ and $B$ is

Find the current through the $10 \mathrm{\Omega }$ resistor shown in figure