In the circuit shown in figure ϵ1 = 3V, ϵ2 = 2V, ϵ3 = 1V and r1 = r2 = r3 = 1Ω. Find the potential difference between the points A and B and the current through each branch.


2V,1A,0A,1A

Here, we will apply KVL


KVL in loop 1 gives



—————(1)


KVL in loop 2 gives



—————(2)


Solving (1) and (2) gives



Current through topmost branch is 1A.


Current through middle branch is 0A.


Current through bottommost branch is 1A.


Therefore, potential difference is


1