Problem 3.176

sources of current with different emf's are connected as shown in Fig. 3.40. The emf's of the sources are proportional to their internal resistances, i.e. $\mathscr{E}=\alpha R,$ where $\alpha$ is an assigned constant. The lead wire resistance is negligible. Find: (a) the current in the circuit; (b) the potential difference between points $A$ and $B$ dividing the circuit in $n$ and $N-n$ links.