1. The problem statement, all variables and given/known data We have the circuit in the figure.I have to find the average power consumed by all the elements and the source. 2. Relevant equations P=0.5*(I^2)*R P=-VmImcosθ/2 3. The attempt at a solution The inductor consumes zero inductive power. I apply nodal analysis at node Vo We have (6-Vo)/3=Vo/6 Vo=4 Here I find that I1=(6-4)/3=2/3 So the average power dissipated by 3 ohm P=0.5*(4/9)*3=2/3 W Current through 6 ohm is Vo/6=4/6 P=0.5*(16/36)*6=4/3..problem is ,in my book power dissipated by 6 ohm is 10/3.... Now,the power consumed by the source is P=P=-(2/3)(6)cos0/2=-2 W...but the result in my book is -4W Where is my mistake?