Label the nodes and apply KCL:
Solve the system of equations:
Combine like terms:
[\frac{v_1}{2} + \frac{v_1 - v_2}{4} = 0]
Solve for (i):
Using Ohm's law, we can write:
[v_1 = 4 \text{ V}, v_2 = 2 \text{ V}] Problem 4.12 nilsson riedel electric circuits 11th edition solutions
[10i + 20i = 30]