I am having some problems in solving this circuit. I will share my ideas here. Please correct my steps which are incorrect.
- We emit current only from battery $V_1$ and let that current be $I$.
2)Now $I$ gets divided into $I_1$ and $I_2$ at point $A$ where $I_1$ flows through $AC$ and $I_2$ flows through $AB$.
3)At point $D$, $I_1$ further gets divided into $I_3$ and $I_4$ with $I_3$ going through $DB$ and $I_4$ going into the third loop. Now,i am in a great confusion. 1st of all from step $3$,the current returning to the battery is $I_2+I_3<I$ but we know that the same amount of current should return to the battery but here return amount is less than $I$.
2nd of all,the $I_4$ current which went into third loop,it goes and at $E$,it sees 2 junctions, so if $I_4$ further divides,then at a point we shall see two currents of opposite direction colliding each other,which cannot be possible.
Where am i making the mistake?Apparently the calculations are really easy once we assign appropriate currents,but here i am struggling with distributing currents.