Hello everyone,

Can anybody help me with the balance of the currents on the nodes A and B of the attached picture?
Here is what I obtained:

At node A:
0.8 + V2/10 = 0.15 + V1/7.5 + i(B)
At node B:
i(B) + V3/10 = 0.8

The issue is that considering the balance like this, 0.8 cancels (by substituting i(B) from the second equation to the first one). Where is the mistake? Could anybody help me, please? Thanks a lot in advance

 

hi let,
As this is Homework, please post your best attempt at answering, we can then help.
E

 

...the balance of the currents on the nodes A and B...

You seem to believe that nodes A & B are different nodes. Just how many nodes do you think are in this circuit?