In the circuit shown in figure (32-E13),
Question:

In the circuit shown in figure (32-E13), $\varepsilon_{1}=3 \mathrm{~V}, \varepsilon_{2}=2 \mathrm{~V}, \varepsilon_{3}=1 \mathrm{~V}$ and $\mathrm{r}_{1}=\mathrm{r}_{2}=r_{3}=1 \Omega$. Find the potential difference between the points $A$ and $B$ and the current through each branch.

Solution: